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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

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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!

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CBSE Case Study Questions for Class 10 Maths Statistics PDF

Checkout our case study questions for other chapters.

• Chapter 11: Construction Case Study Questions
• Chapter 12: Area Related to Circles Case Study Questions
• Chapter 13: Surface Area and Volumes Case Study Questions
• Chapter 15: Probability Case Study Questions

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Case Study Class 10 Maths

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Case Study Questions Class 10 Maths Chapter 1 Real Numbers

Case Study Questions Class 10 Maths Chapter 2 Polynomials

Case Study Questions Class 10 Maths Chapter 3 Pair of Equations in Two Variables

Case Study Questions Class 10 Maths Chapter 4 Quadratic Equations

Case Study Questions Class 10 Maths Chapter 5 Arithmetic Progressions

Case Study Questions Class 10 Maths Chapter 6 Triangles

Case Study Questions Class 10 Maths Chapter 7 Coordinate Geometry

Case Study Questions Class 10 Maths Chapter 8. Introduction to Trigonometry

Case Study Questions Class 10 Maths Chapter 9 Some Applications of Trigonometry

Case Study Questions Class 10 Maths Chapter 10 Circles

Case Study Questions Class 10 Maths Chapter 12 Areas Related to Circles

Case Study Questions Class 10 Maths Chapter 13 Surface Areas & Volumes

Case Study Questions Class 10 Maths Chapter 14 Statistics

Case Study Questions Class 10 Maths Chapter 15 Probability

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Case Study Questions for Class 10 Maths Chapter 14 Statistics

• Last modified on: 1 year 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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Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables C hapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

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CBSE 10th Standard Maths Subject Statistics Case Study Questions 2021

By QB365 on 22 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

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 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

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

Cbse 10th standard maths subject statistics case study questions 2021 answer keys.

(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

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)

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