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CBSE Class 10 Maths Case Study Questions for Chapter 14 - Statistics (Published By CBSE)

Case study question bank for cbse class 10 maths chapter 14 - statistics is available here. practice this new format of questions to score good marks in your board exam..

CBSE Class 10 Maths Case Study Questions for Chapter 14 - Statistics are published by the CBSE board itself. These questions are perfect to acquaint with the new format of the questions and make your board exam preparations. Questions are based on the real life situations. You can easily understand how concepts and logic are used in the case study questions. All the questions are provided with answers.  

Check Case Study Questions for Class 10 Maths Chapter 14 - Statistics

CASE STUDY 1:

COVID-19 Pandemic The COVID-19 pandemic, also known as coronavirus pandemic, is an ongoing pandemic of coronavirus disease caused by the transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among humans.

The following tables shows the age distribution of case admitted during a day in two different hospitals

Refer to table 1

1. The average age for which maximum cases occurred is

Answer: c) 36.82

2. The upper limit of modal class is

Answer: d) 45

3. The mean of the given data is

Answer: d) 35.4

Refer to table 2

4. The mode of the given data is

Answer: a) 41.4

5. The median of the given data is

Answer: b) 40.2

Electricity Energy Consumption

CASE STUDY 2:

Electricity energy consumption is the form of energy consumption that uses electric energy. Global electricity consumption continues to increase faster than world population, leading to an increase in the average amount of electricity consumed per person (per capita electricity consumption).

Refer to data received from Colony A

1. The median weekly consumption is

a) 12 units

b) 16 units

c) 20 units

d) None of these

Answer: c) 20 units

2. The mean weekly consumption is

a) 19.64 units

b) 22.5 units

c) 26 units

Answer: a) 19.64 units

3. The modal class of the above data is I

Answer: c) 20-30

Refer to data received from Colony B

4. The modal weekly consumption is

a) 38.2 units

b) 43.6 units

d) 32 units

Answer: b) 43.6 units

5. The mean weekly consumption is

a) 15.65 units

b) 32.8 units

c) 38.75 units

d) 48 units

Answer: c) 38.75 units

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CBSE Case Study Questions for Class 10 Maths Statistics Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Statistics  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Statistics PDF

Checkout our case study questions for other chapters.

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• Chapter 12: Area Related to Circles Case Study Questions
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• Chapter 15: Probability Case Study Questions

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Case Study Questions Class 10 Maths Statistics

Case study questions class 10 maths chapter 14 statistics.

CBSE Class 10 Case Study Questions Maths Statistics. Term 2 Important Case Study Questions for Class 10 Board Exam Students. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Statistics.

At Case Study Questions there will given a Paragraph. In where some Important Questions will made on that respective Case Based Study. There will various types of marks will given 1 marks, 2 marks, 3 marks, 4 marks.

CBSE Case Study Questions Class 10 Maths Statistics

CASE STUDY 1:

COVID-19 Pandemic –

The COVID-19 pandemic, also known as coronavirus pandemic, is an ongoing pandemic of coronavirus disease caused by the transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among humans.

The following tables shows the age distribution of case admitted during a day in two different hospitals

[ CBSE Academic Question Paper ]

Refer to table 1 

(1) The mean of the given data is

Answer: (d) 35.4

(2) The average age for which maximum cases occurred is

Answer: (c) 36.82

(3) The upper limit of modal class is

Answer: (d) 45

Refer to table 2 

(4) The median of the given data is

Answer: (b) 40.2

(5) The mode of the given data is

Answer: (a) 41.4

Case Study – 2

2.) In a Vidyalaya there are two sections A and B. 39 students are there in section A and in section B there are 41 students. A periodic test was conducted to assess the performance of students thereafter analyze and plan the teaching learning process accordingly. The marks obtained out of 40 are given below in the table

[KVS Raipur 2021-22]

(i) How many students have obtained more than or equal to 35 marks?

(ii) Arrange the given data in class interval and find the median of the marks obtained.

Hint: Convert the less than type data into class intervals.

(i) 80 – 71 = 9

(ii) Median of the marks obtained is 21.92

We hope that above case study questions will help you for your upcoming exams. To see more click below – 

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Case Study Questions for Class 10 Maths Chapter 14 Statistics

• Last modified on: 9 months ago
• Reading Time: 3 Minutes

Question 1:

Direct income in India was drastically impacted due to the COVID-19 lockdown. Most of the companies decided to bring down the salaries of the employees upto 50%.

The following table shows the salaries (in percent) received by 50 employees during lockdown.

Based on the above information, answer the following questions.

(i) Total number of persons whose salary is reduced by more than 20% is (a) 40 (b) 46 (c) 30 (d) 22

(ii) Total number of persons whose salary is reduced by atmost 40% is (a) 32 (b) 40 (c) 46 (d) 18

(iii) The modal class is (a) 50-60 (b) 60-70 (c) 70-80 (d) 80-90

(iv) The median class of the given data is (a) 50-60 (b) 60-70 (c) 70-80 (d) 80-90

(v) The empirical relationship among mean, median and mode is (a) 3 Median = Mode +2 Mean (b) 3 Median = Mode −2 Mean (c) Median = 3 Mode −2 Mean (d) Median =3 Mode +2 Mean

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CBSE Class 10 Maths Case Study Questions PDF

Download Case Study Questions for Class 10 Mathematics to prepare for the upcoming CBSE Class 10 Final Exam. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards.

CBSE Class 10 Mathematics Exam 2024  will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

Table of Contents

Chapterwise Case Study Questions for Class 10 Mathematics

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

The above  Case studies for Class 10 Maths will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 10 Mathematics Case Studies have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

• Class 10th Science Case Study Questions
• Assertion and Reason Questions of Class 10th Science
• Assertion and Reason Questions of Class 10th Social Science

Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding.

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes.

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter

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Class 10th Maths - Statistics Case Study Questions and Answers 2022 - 2023

By QB365 on 09 Sep, 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 10th Maths Subject - Statistics, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

QB365 - Question Bank Software

Statistics case study questions with answer key.

10th Standard CBSE

Final Semester - June 2015

An agency has decided to install customised playground equipments at various colony parks. For that they decided to study the age-group of children playing in a park of the particular colony. The classification of children according to their ages, playing in a park is shown in the following table

Based on the above information, answer the following questions. (i) The maximum number of children are of the age-group

(ii) The lower limit of the modal class is

(iii) Frequency of the class succeeding the modal class is

(iv) The mode of the ages of children playing in the park is

(v) If mean and mode of the ages of children playing in the park are same, then median will be equal to

Based on the above information, answer the following questions. (i) The class mark of the class 25-29 is

(ii) If x i 's denotes the class marks and f i 's denotes the corresponding frequencies for the given data, then the value of  \(\sum x_{i} f_{i}\)   equals to

(iii) The mean time required to complete the work for a worker is

(iv) If a worker works for 8 hrs in a day, then approximate time required to complete the work for a worker is

(v) The measure of central tendency is

Based on the above information, answer the following questions. (i) If A is taken as assumed mean, then the possible value of A is

(ii) If x i 's denotes the class marks and f i 's denotes the deviation of assumed mean (A) from x i 's, then the minimum value of |d i | is

(iii) The mean of toll tax received. by NHAI by assumed mean method is

(iv) The mean of toll tax received by NHAI by direct method is

(v) The average toll tax received by NHAI in a day, from that particular toll plaza, is

Based on the above information, answer the following questions. (i) The upper limit of a class and lower limit of its succeeding class is differ by

(ii) The median class is

(iii) The cumulative frequency of the class preceding the median class is

(iv) The median of the distance travelled is

(v) If the mode of the distance travelled is 223.78 km, then mean of the distance travelled by the bus is

A group of 71 people visited to a museum on a certain day. The following table shows their ages.

Based on the aboxe information, answer the following questions. (i) If true class limits have been decided by making the classes of interval 10, then first class must be

(ii) The median class for the given data will be

(iii) The cumulative frequency of class preceding the median class is

(iv) The median age of the persons visited the museum is

(v) If the price of a ticket for the age group 30-40 is Rs 30, then the total amount spent by this age group is

An electric scooter manufacturing company wants to declare the mileage of their electric scooters. For this, they recorded the mileage (km/ charge) of 50 scooters of the same model. Details of which are given in the following table.

(ii) The modal value of the given data is

(ill) The median value of the given data is

(iv) Assumed mean method is useful in determining the

(v) The manufacturer can claim that the mileage for his scooter is

An inspestor in an enforcement squad of electricity department visit to a locality of 100 families and record their monthly consumption of electricity, on the basis of family members, electronic items in the house and wastage of electricity, which is summarise in the following table.

(ii) If the median of the above data is 525, then x is equal to

(iii) What will be the upper limit of the modal class?

(iv) The average monthly consumption of a family of this locality is approximately

(v) If A be the assumed mean, then A is always

Household income in India was drastically impacted due to the COVID-19 loekdown. Most of the companies decided to bring down the salaries of the employees by 50%. The following table shows the salaries (in percent) received by 25 employees during loekdown.

(ii) Total number of persons whose salary is reduced by atmost 40%, is

(iii) The modal class is

(iv) The median class of the given data is

(v) The empirical relationship between mean, median and mode is

A bread manufacturer wants to know the lifetime of the product. For this, he tested the life time of 400 packets of bread. The following tables gives the distribution of the life time of 400 packets.

(ii) The average lifetime of a packet is

(iii) The median lifetime of a packet is

(iv) If empirical formula is used, then modal lifetime of a packet is

(v) Manufacturer should claim that the lifetime of a packet is

A petrol pump owner wants to analyse the daily need of diesel at the pump. For this he collected the data of vehicles visited in 1 hr. The following frequency distribution table shows the classification of the number of vehicles and quantity of diesel filled in them.

(ii) Average diesel required for a vehicle is

(iii) If approximately 2000 vehicles comes daily at the petrol pump, then how much litres of diesel the pump should have?

(iv) The sum of upper and lower limit of median class is

(v) If the median of given data is 8litres, then mode will be equal to

A group of students decided to make a project on Statistics. They are collecting the heights (in cm) of their 51 girls of Class X-A, B and C of their school. After collecting the data, they arranged the data in the following less than cumulative frequency distribution table form:

(i) What is the lower limit of median class?

(ii) What is the upper limit of modal class?

(iii) What is the mean of lower limits of median and modal class?

(iv) What is the width of the class?

(v) The median is :

Overweight and obesity may increase the risk of many health problems, including diabetes, heart disease, and certain cancers. The basic reason behind is the laziness, eating more junk foods and less physical exercise. The school management give instruction to the school to collect the weight data of each student. During medical check of 35 students from Class X- A, there weight was recorded as follows:

(ii) Calculate the median weight of the given data.

(iii) Find the mean of the given data.

(iv) Find the modal class of the given data.

(v) While computing the mean of grouped data, we assume that the frequencies are

A group of students went to another city to collect the data of monthly consumptions (in units) to complete their Statistics project. They prepare the following frequency distribution table from the collected data gives the monthly consumers of a locality.

(ii) What is the lower limit of modal class?

(iii) What is the mean of upper limits of median and modal class?

100m RACE A stopwatch was used to find the time that it took a group of students to run 100 m.

(ii) What will be the upper limit of the modal class ?

(iii) The construction of cumulative frequency table is useful in determining the

(iv) The sum of lower limits of median class and modal class is

(v) How many students finished the race within 1 minute?

The COVID-19 pandemic, also known as the coronavirus pandemic, is an ongoing pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). It was first identified in December 2019 in Wuhan, China. During survey, the ages of 80 patients infected by COVID and admitted in the one of the City hospital were recorded and the collected data is represented in the less than cumulative frequency distribution table

Based on the above information, answer the following questions  (a) The modal class interval is :

(b) The median class interval is

(c) The modal age of the patients admitted in the hospital is :

(d) Which age group was affected the most?

(e) How many patients of the age 45 years and above were admitted?

*****************************************

Statistics case study questions with answer key answer keys.

(i) (b) : Since, the highest frequency is 70, therefore the maximum number of children are of the age-group 10-12. (ii) (a): Since, the modal class is 10-12 \(\therefore\) Lower limit of modal class = 10 (iii) (c) : Here,f 0  = 58,f 1 = 70 and f 2 = 42 Thus, the frequency of the class succeeding the modal class is 42. (iv) (d) : Mode  \(=l+\left[\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right] \times h\) \(=10+\left[\frac{70-58}{140-58-42}\right] \times 2\) \(=10+\frac{12}{40} \times 2=10+\frac{24}{40}=10.6 \text { years }\) (v) (c): Given that, Mean = Mode \(\therefore\) By Empirical relation, we have Mode = 3 Median - 2 Mean \(\Rightarrow\) Mode = 3 Median - 2 Mode \(\Rightarrow\) 3 Mode = 3 Median \(\Rightarrow\) Median = Mode = Mean

(i) (c): Class mark of class 25 - 29 \(=\frac{25+29}{2}=\frac{54}{2}=27\) (ii) (d): Let us consider the following table:

\(\therefore \quad \operatorname{Mean}(\bar{x})=\frac{\sum x_{i} f_{i}}{\sum f_{i}}=\frac{1265}{50}=25.3\)

Thus, the mean time to complete the work for a worker = 25.3 hrs = 3 days (iii) (d) (iv) (a) (v) (d): We know the measure of central tendency are mean, median and mode.

Let us consider the following table:

(i) (d): Clearly, the possible values of assumed mean (A) are 35, 45, 55, 65, 75. (ii) (c) : The values of |d i | are 0, 10,20 Thus, the minimum value of |d i | is 0. (iii) (b): Required Mean  \(=A+\frac{\sum f_{i} d_{i}}{\sum f_{i}}=55-\frac{1200}{420}\) = Rs 52.14. (iv) (a): Mean by direct and assumed mean method are always equal. (v) (d): Average toll tax received by a vehicle = Rs 52.14 Total number of vehicles = 420 \(\therefore\) Average toll tax received in a day = Rs (52.14 x 420) = Rs 21898.80

(i) (b): The upper limit of a class and the lower class of its succeeding class differ by 1. (ii) (d) : Here, class intervals are in inclusive form. So, we first convert them in exclusive form. The frequency distribution table in exclusive form is as follows:

\(\text { Here, } \Sigma f_{i} \text { i.e., } N=60 \) \(\Rightarrow \frac{N}{2}=30\)

Now, the class interval whose cumulative frequency is just greater than 30 is 219.5 - 229.5. \(\therefore\) Median class is 219.5 - 229.5. (iii) (b): Clearly, the cumulative frequency of the class preceding the median class is 18 (iv) (d) : Median  \(=l+\left[\frac{\frac{N}{2}-c . f .}{f}\right] \times h\) \(=219.5+\left(\frac{30-18}{26}\right) \times 10 \) \(=219.5+\frac{12 \times 10}{26}=219.5+4.62=224.12\) \(\therefore\) Median of the distance travelled is 224.12 km (v) (d) : We know, Mode = 3 Median - 2 Mean \(\therefore \quad \text { Mean }=\frac{1}{2}(3 \text { Median }-\text { Mode }) \) \(=\frac{1}{2}(672.36-223.78)=224.29 \mathrm{~km}\)

(i) (b): The age of any person is a positive number, so the first class must be 0 - 10. (ii) (c): Let us consider the following table:

Here, N = 71, therefore  \(\frac{N}{2}=35.5\) Now, the class interval whose cumulative frequency is just greater than 35.5 is 30-40. \(\therefore\) Median class = 30-40 (iii) (a): Clearly, the cumulative frequency of the class preceding the median class is 22. (iv) (d) : Median  \(=l+\left(\frac{\frac{N}{2}-\varsigma . f .}{f}\right) \times h\) \(=30+\left(\frac{35.5-22}{18}\right) \times 10=30+13.5 \times \frac{10}{18}=30+7.5=37.5\) Thus, the median age of the persons visited the museum is 37.5 years (v) (c): Number of persons, whose age lying in 30-40 = 18 \(\therefore\) Total amount spent by people of this group = Rs (30 x 18) = Rs 540

Given frequency distribution table can be drawn as:

(i) (d): Clearly, average mileage \(=\frac{7240}{50}=144.8 \mathrm{~km} / \text { charge }\) (ii) (b) : Since, highest frequency is IS, therefore, modal class is 140-160. Here, l = 140,f 1 = 18,f 0  = 12,f 2 = 13, h = 20 \(\therefore \quad \text { Mode }=140+\frac{18-12}{36-12-13} \times 20=140+\frac{6}{11} \times 20 \) \(=140+\frac{120}{11}=140+10.91=150.91\) (iii) (b) : Here  \(\frac{N}{2}=\frac{50}{2}=25\)  and the corresponding class whose cumulative frequency is just greater than 25 is 140-160. Here, l = 140, c.f = 19, h = 20 and f= 18 \(\therefore \quad \text { Median }=l+\left(\frac{\frac{N}{2}-c . f .}{f}\right) \times h\) \(=140+\frac{25-19}{18} \times 20=140+\frac{60}{9}=146.67\) (iv) (a) : Assumed mean method is useful in determining the mean. (v) (a): Since, Mean = 144.S, Mode = 150.91 and Median = 146.67 and minimum of which is 144 approx, therefore manufacturer can claim the mileage for his scooter 144 km/charge.

We have the following table:

(i) (c): Here, it is given that total frequency = 100 \(\therefore\) 76 + x + y = 100 \(\Rightarrow\) x + y = 24 (ii) (c): Here  \(\frac{N}{2}=\frac{100}{2}=50\) Also, median = 525 \(\therefore\)  Median class is 500-600. \(\text { Now, median }=l+\left(\frac{N / 2-c . f .}{f}\right) \times h \) \(\Rightarrow 525=500+\left(\frac{50-(36+x)}{20}\right) \times 100 \) \(\Rightarrow 5=50-36-x \Rightarrow x=9\) (iii) (b) : Since, maximum frequency is 20, so modal class is 500 - 600. Hence, upper limit of modal class is 600. (iv) (b) : Since, x + y = 24 \(\Rightarrow\)  y = 24 - 9 = 15 Required average consumption \(\begin{aligned} & 50 \times 2+150 \times 5+250 \times 9+350 \times 12+450 \times 17 \\ =& \frac{+550 \times 20+650 \times 15+750 \times 9+850 \times 7+950 \times 4}{100} \\ =& \frac{52200}{100}=522 \mathrm{kwh} \end{aligned}\) (v) (d)

(i) (d): Required number of persons = 9 + 6 = 15 (ii) (c) : Required number of persons = 6 + 8 + 2 = 16 (iii) (a) : 50-60 is the modal class as the maximum frequency is 9. (iv) (b) : The cumulative frequency distribution table for the given data can be drawn as :

\(\text { Here, } \frac{N}{2}=\frac{25}{2}=12.5\) The cumulative frequency just greater than 12.5 lies in the interval 60-70. Hence, the median class is 60-70. (v) (a): We know, Mode = 3 Median - 2 Mean \(\therefore\)   3 Median = Mode + 2 Mean.

(i) (d): We know that, \(\text { Class mark }=\frac{\text { Lower limit }+\text { Upper limit }}{2} \) \(\Rightarrow m=\frac{\text { Lower limit }+b}{2} \Rightarrow \text { Lower limit }=2 m-b\) (ii) (a):

\(\begin{aligned} &\therefore \quad \text { Average lifetime of a packet }\\ &=A+\frac{\sum f_{i} d_{i}}{\sum f_{i}}=325+\frac{6400}{400}=341 \mathrm{hrs} \end{aligned}\)

(iii) (b) :  \(\text { Here, } N=400 \Rightarrow \frac{N}{2}=200\) Also, cumulative frequency for the given distribution are 14, 70, 130,216,290,352,400 \(\therefore\) c.f just greater than 200 is 216, which is corresponding to the interval 300-350. l= 300, f=86, c.f = 130, h = 50 \(\therefore \quad \text { Median }=l+\left(\frac{\frac{N}{2}-c . f .}{f}\right) \times h=300+\left(\frac{200-130}{86}\right) \times 50\) = 300 + 40.697 = 340.697 ""340 hrs (approx.) (iv) (a) : We know that Mode = 3 Median - 2 Mean = 3(340.697) -2(341) = 1022.091 - 682 = 340.091 ""340 hrs (v) (c): Since, minimum of mean, median and mode is approximately 340 hrs. So, manufacturer should claim that lifetime of a packet is 340 hrs.

(i) (a): If f i  and x i are very small, then direct method is appropriate method for calculating mean. (ii) (a) : The frequency distribution table from the given data can be drawn as :

\(\therefore \quad \text { Mean }=\frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}=\frac{326}{40}=8.15 \text { litres }\)

(iii) (b) : If 2000 vehicles comes daily and average quantity of diesel required for a vehicle is 8.15 litres, then total quantity of diesel required = 2000 x 8.15 = 16300 litres (iv) (c) : Here  \(N=40 \text { and } \frac{N}{2}=20\)  c.f for the distribution are 5, 15,25,32,40 Now, c.f just greater than 20 is 25 which is corresponding to the class interval 7-9. So median class is 7-9. \(\therefore\) Required sum of upper limit and lower limit = 7 + 9 = 16 (v) (b): We know, Mode = 3 Median -2 Mean = 3(8) - 2(8.15) = 24 - 16.3 = 7.7

(i) (a):  \(n=51 . \mathrm{So}, \frac{n}{2}=\frac{51}{2}=25.5 .\) This observation lies in the class 145 - 150 = 145 (ii) (b): 150 (iii) (a): 145 (iv) (c): 5 (v) (a): l ( lower limit) = 145, cf = 11, f = 18, h = 5. \(\text { Median }=l+\left(\frac{\frac{n}{2}-\mathrm{cf}}{f}\right) \times h\) \(\text { Median }=145+\left(\frac{25.5-11}{18}\right) \times 5=145+\frac{72.5}{18}\) = 149.03 cm

(i) (b): Here N =35 \(\therefore \frac{N}{2}=\frac{35}{2}=17.5\) Since, the cumulative frequency is greater than 17.5 is 28 and the corresponding class intervals is 46 - 48. Median class = 46 - 48 (ii) (a): Here, l =46, f = 14 cf = 14 and h = 2 \(\therefore \text { Median }=l+\left(\frac{\frac{N}{2}-c f}{f}\right) \times h\) \(=46+\frac{17.5-14}{14} \times 2\) \(=46+\frac{3.5}{14} \times 2=46+0.5=46.5\) (iii) (b):  \(\text { Mean, } \bar{x}=\frac{\Sigma f_{i} x_{i}}{\Sigma f_{i}}=\frac{1603}{35}=45.8\) (iv) (b):  The highest frequency in the given data is 14, whose modal class is 46-48. (v) (b):  While computing the mean of grouped data, we assume that the frequencies are centered at the class marks of the classes.

(i) (a): 

Here,  \(\Sigma f_{i}=n=68 \text { then } \frac{n}{2}=\frac{68}{2}=34\)   which lies in interval 125 - 145 = 125 (ii) (a): 125 (iii) (b): 145 (iv) (c): 20 (v) (a): Median class = 125 - 145 So, l = 125; n = 68; f = 20; cf = 22 and h = 20 Using formula, Median  \(=l+\left[\frac{\frac{n}{2}-c f}{f}\right] \times h\) \(=125+\left\{\frac{\frac{68}{2}-22}{20}\right\} \times 20\) \(=125+\frac{34-22}{20} \times 20=125+12\) = 137

(i) (c): 

\(\text { Mean }=\frac{1720}{40}\) = 43 (ii) (c): 60 (iii) (b):  Median (iv) (c): Median class 40 - 60, Modal class = 40 - 60 Sum of lower limits of median class and modal class = 40 + 40 = 80 (v) (c): Number of students are = 8 + 10 + 13 = 31

(a) (ii)  Since the highest frequency is 23 which belongs to 35 – 45. Therefore, modal class is 35 – 45. (b) (ii) Here,  \(n=80 \Rightarrow \frac{n}{2}=40\)   which lies in 35 – 45  Therefore, medial class is 35 – 45. (c) (iii)    Here,l = 35, f 0 = 21, f 1 = 23, f 2 = 14, h = 10. \(\text { Mode }=l+\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}} \times h \quad \Rightarrow \text { Mode }=35+\frac{23-21}{46-21-14} \times 10\)   ( d) (i) 35-45 (e) (ii) 19

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10th Standard CBSE Subjects

• Class 10 Maths
• Chapter 14: Statistics

Important Questions For Class 10 Maths Chapter 14- Statistics

Important questions for Class 10 Maths Chapter 14 Statistics are available at BYJU’S, created and designed as per the latest exam pattern by referring to the CBSE board sample papers. Students who are preparing for the CBSE class 10 board exams 2022-23 can practice these Statistics questions to score full marks for the questions from this chapter.

This chapter is important for students from the examination perspective. Most of the long answer questions will come from this chapter for the exam. Students can also refer to the solutions prepared by BYJU’S expert teachers. By solving these Important Questions of Class 10 Maths Chapter 14 Statistics, students will thoroughly revise this chapter and get well versed with the questions expected to be asked in the Maths paper.

Also, check: Class 10 Maths Chapter 14 Statistics MCQs

• Important Questions Class 10 Maths
• Probability and Statistics Concepts
• Statistics Class 10 Notes

Important Questions & Answers For Class 10 Maths Chapter 14 Statistics

The important questions o f the statistics chapter for class 10 are given here in both shor t answer type and long answer type.

Short Answer Type Questions

Q.1. Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10.

Solution: The given mean of 10 numbers = 15

So, Mean of 10 numbers = sum of observations/ no. of observations

15 = sum of observations / 10

Sum of observations of 10 numbers = 150

Similarly, Mean of 20 numbers = sum of observations/ no. of observations

11 = sum of observations / 20

Sum of observations of 20 numbers = 220

Hence, Mean of 32 numbers = (sum 10 numbers + sum of 20 numbers + sum of last two numbers)/ no. of observations

Mean of 32 numbers = (150 + 220 + 20 ) / 32 = 390 /32 = 12.188

Q.2. Find the mean of the first 10 natural numbers.

Solution: The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Mean = (1 + 2 +3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) / 10 = 55/10 = 5.5

Q.3 . Find the value of y from the following observations if these are already arranged in ascending order. The Median is 63.

20, 24, 42, y , y + 2, 73, 75, 80, 99

As the number of observations made is odd, so the median will be the middle term, i.e. y + 2.

y = 63 – 2 = 61

Q.4. While checking the value of 20 observations, it was noted that 125 was wrongly noted as 25 while calculating the mean and then the mean was 60. Find the correct mean.

Let y be the sum of observation of 19 (20 – 1) numbers leaving 125.

So, y + 25 = 20 × 60 = 1200 {Mean = (sum of observations/ no. of observations)}

As we know,

x + 25 = 20 × 60 = 1200

x + 125 = 20 × y = 20y

Next, Subtract 125 − 25 = 20y − 1200

Q.5. Find the mode of the following items.

0, 5, 5, 1, 6, 4, 3, 0, 2, 5, 5, 6

Solution: On arranging the items in ascending order, we get:

0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 6, 6

As we can see 5 occurs the maximum number of times.

Therefore, the mode of the given items = 5

Q.6. A student scored the following marks in 6 subjects:

30, 19, 25, 30, 27, 30

Find his modal score.

Solution: If we arrange his marks in ascending order

19, 25, 27, 30, 30, 30

As we can see, 30 occurs a maximum number of times.

Therefore, the modal score of the student = 30

Q.7.The daily minimum steps climbed by a man during a week were as under:

Find the mean of the steps.

Solution: Number of steps climbed in a week: 35, 30, 27, 32, 23, 28.

So, we get,

Mean = sum of observation (steps) / total no of observations

= (35 + 30 + 27 + 32 + 23 + 28) / 6

Q. 8.   If the mean of 4 numbers, 2,6,7 and a is 15 and also the mean of other 5 numbers, 6, 18, 1, a, b is 50. What is the value of b?

Mean = sum of observations / no. of observations

15 = (2 + 6 + 7 +a)/4

15 = (15 + a) / 4

15 x 4 = 15 + a

60 – 15 = a

50 = (18 + 6 + 1 +a + b)/5

50 = (18 + 6 + 1 +45 + b)/5

50 = (70 + b)/5

250 = 70 + b

b = 250 – 70 = 180

So, The value of b = 180.

Q.9: If the mean of first n natural numbers is 15, then find n.

We know that the sum of first n natural numbers = n(n + 1)/2

Mean of the first n natural numbers = Sum of first n natural numbers/n

= [n(n + 1)/2]/ n

= (n + 1)/2

According to the given,

(n + 1)/2 = 15

Q.10: Construct the cumulative frequency distribution of the following distribution : 

The cumulative frequency distribution of the given distribution is given below :

Long Answer Type Questions

Q. 1: Consider the following distribution of daily wages of 50 workers of a factory.

Find the mean daily wages of the workers of the factory by using an appropriate method.

Find the midpoint of the given interval using the formula.

Midpoint (x i ) = (upper limit + lower limit)/2

In this case, the value of mid-point (x i ) is very large, so let us assume the mean value, A = 150 and class interval is h = 20. So, u i  = (x i  – A)/h = u i  = (x i  – 150)/20

Substitute and find the values as follows:

So, the formula to find out the mean is:

Mean = x̄ = A + h (∑f i u i  /∑f i ) =150 + (20 × -12/50) = 150 – 4.8 = 145.20 Therefore, mean daily wage of the workers = Rs. 145.20

Q.2: Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute was recorded and summarised as follows. Find the mean heartbeats per minute for these women, choosing a suitable method.

From the given data, let us assume the mean as A = 75.5

x i  = (Upper limit + Lower limit)/2 Class size (h) = 3 Now, find the u i and f i u i as follows:

Mean = x̄ = A + h∑f i u i  /∑f i

= 75.5 + 3×(4/30)

75.5 + 4/10

= 75.5 + 0.4

= 75.9 Therefore, the mean heartbeats per minute for these women is 75.9

Q. 3: The following data gives the distribution of the total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure :

From the given data:

Modal class = 1500-2000

Frequencies:

f 1  = 24, f< = 33 and

Mode formula:

Substitute the values in the formula, we get;

Mode = 1500 + ((16 x 500)/23)

Mode = 1500+(8000/23) = 1500 + 347.83

Therefore, the modal monthly expenditure of the families= Rupees 1847.83

Calculation for mean:

First find the midpoint using the formula, x i =(upper limit +lower limit)/2

Let us assume a mean, A be 2750

The formula to calculate the mean,

Mean = x̄ = a + (∑f i u i  /∑f i ) х h

Substitute the values in the given formula = 2750 + (-35/200) х 500 = 2750 – 87.50

So, the mean monthly expenditure of the families = Rupees 2662.50

Q. 4: A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data:

Modal class = 40 – 50, l = 40,

class width (h) = 10, f m  = 20, f 1  = 12 and f 2  = 11

Substitute the values

Mode = 40 + (80/17) = 40 + 4.7 = 44.7

Thus, the mode of the given data is 44.7 cars

Q. 5: An aircraft has 120 passenger seats. The number of seats occupied during 100  flights are given in the following table :

Determine the mean number of seats occupied over the flights.

∴ Assumed mean, a = 110

Class width, h = 4

And total observations, N = 100

= 110 + (-8/100)

= 110 – 0.08

But we know that the seats cannot be in decimal.

Therefore, the number of seats = 109 (approx).

Q. 6: A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted and the following data were obtained:

Find the median height.

To calculate the median height, we need to find the class intervals and their corresponding frequencies.

The given distribution is of the less than type, 140, 145, 150,… ., 165 gives the upper limits of the corresponding class intervals.

So, the classes should be below 140, 140 – 145, 145 – 150,… ., 160 – 165.

Observe that from the given distribution, we find that there are 4 girls with height less than 140, i.e., the frequency of class interval below 140 is 4.

Now, there are 11 girls with heights less than 145 and 4 girls with heights less than 140. Therefore, the number of girls with height in the interval of 140 – 145 is 11 – 4 = 7.

Similarly, the frequency of 145 – 150 is 29 – 11 = 18, for 150 – 155, it is 40 – 29 = 11, and so on. So, our frequency distribution table with the given cumulative frequencies becomes:

Now n = 51. So, n/2 = 51/2 =25.5

This observation lies in class 145 – 150.

Then, l (the lower limit) = 145,

cf (the cumulative frequency of the class preceding 145 – 150) = 11,

f (the frequency of the median class 145 – 150) = 18,

h (the class size) = 5.

Using the formula,

= 145 + 72.5/18 = 149.03.

So, the median height of the girls is 149.03 cm.

This means that the height of about 50% of the girls is less than this height, and 50% are taller than this height.

Q. 7: The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :

Find the median length of leaves.  

( Hint : The data needs to be converted to continuous classes for finding the median since the formula assumes continuous classes. The classes then change to 117.5 – 126.5, 126.5 – 135.5, . . ., 171.5 – 180.5.)

Since the data are not continuous reduce 0.5 in the lower limit and add 0.5 in the upper limit.

From the above tab

n = 40 and n/2 = 20

Median class = 144.5-153.5

then, l = 144.5,

cf = 17, f = 12 & h = 9

=144.5+(9/4)

Therefore, the median length of the leaves = 146.75 mm.

Q. 8: If the median of a distribution given below is 28.5 then, find the value of an x &y.

From the given data,

Median of the given data = 28.5

Where, n/2 = 30

Median class is 20 – 30 with a cumulative frequency = 25 + x

Lower limit of median class = 20,

Cf = 5 + x ,

f = 20 & h = 10

28.5=20+10(30−5−x)/20)

8.5 =(25-x)/2

Therefore, x =8

Now, from cumulative frequency, we can identify the value of x + y as follows:

60=5+20+15+5+x+y

Now, substitute the value of x, to find y

60 = 5+20+15+5+8+y

Therefore, the value of x = 8 and y = 7

Q. 9: The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution :

Draw both Ogives for the above data. Hence obtain the median profit.

We first draw the coordinate axes, with lower limits of the profit along the horizontal axis, and the cumulative frequency along the vertical axes.

Then, we plot the points (5, 30), (10, 28), (15, 16), (20, 14), (25, 10), (30, 7) and (35, 3). We

join these points with a smooth curve to get the ‘more than’ ogive, as shown in the below figure.

Now, let us obtain the classes, their frequencies and the cumulative frequency from the given table.

Using these values, we plot the points (10, 2), (15, 14), (20, 16), (25, 20), (30, 23), (35, 27), (40, 30) on the same axes as in the above figure, to get the ‘less than’ ogive, as shown below.

The abscissa of their point of intersection is nearly 17.5, which is the median. This can also be verified by using the formula.

Hence, the median profit (in lakhs) is Rs. 17.5.

Q. 10: The following tables give the production yield per hectare of wheat of 100 farms of a village.

Change the distribution to a more than type distribution and draw its ogive.

Converting the given distribution to a more than type distribution, we get

From the table obtained draw the ogive by plotting the corresponding points where the upper limits in x-axis and the frequencies obtained in the y-axis are (50, 100), (55, 98), (60, 90), (65, 78), (70, 54) and (75, 16) on this graph paper.

The graph obtained is known as more than type ogive curve.

Practice Questions for Class 10 Maths Chapter 14 Statistics

• Consider the data : Class65-8585-105105-125125-145145-165165-185185-205Frequency4513201474 (1) The difference of the upper limit of the median class and the lower limit of the modal class is (A) 0 (B) 19 (C) 20 (D) 38 (2) In the formula x = a + h(f i u i /f i ), for finding the mean of grouped frequency distribution, u i = (A) (x i +a)/h (B) h (x i – a) (C) (x i –a)/h (D) (a – x i )/h
• In a continuous frequency distribution, the median of the data is 21. If each observation is increased by 5, then find the new median.
• The average score of boys in the examination of a school is 71 and that of the girls is 73. The average score of the school in the examination is 71.8. Find the ratio of the number of boys to the number of girls who appeared in the examination.

The Important Questions & Answers For Class 10 Maths Chapter 14 Statistics must have helped students in their Class 10 Maths exam preparation. They must keep practising the questions and stay tuned to BYJU’S for the latest update on CBSE/ICSE/State Board/Competitive Exams.

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CBSE Class 10 Maths Case Study

CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

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CBSE Board Class 10 Maths Answer Key 2024 and Question Papers, Download PDF All SETs

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Chapter 13 Class 10 Statistics

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Solutions of all questions of Chapter 13 Statistics of Class 10 available free at teachoo. All NCERT Questions are solved, with detailed answers of each and every question and example of the NCERT Book.

In the Statistics chapter of Class 9 , we learned how to find mean, median, mode of raw and ungrouped data.

In this chapter, we will

• Learn what is Class mark of a Grouped Frequency Distribution table (x i )
• Direct Method ( f i x i )
• Using Assumed mean method ( f i d i )
• Using Step Deviation method ( f i u i )
• Finding Mode of Grouped data
• Finding Median of Grouped Data
• Converting frequency distribution of less than type to normal
• Converting frequency distribution of more than type to normal
• Relationship between Mean, Median and Mode ( 3 Median = Mode + 2 Mean )
• Drawing a less than and more than ogive , and finding median.

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Case Study Class 10 Maths Questions

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Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

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