NCERT Solutions for Class 10 Maths Chapter 14 Statistics

Q:

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.
Expenditure (in ₹) Number of families
1000 – 1500
1500– 2000
2000– 2500
2500–3000
3000–3500
3500–4000
4000–4500
4500–5000
24
40
33
28
30
22
16
7

A:

Q:

The following table gives production yield per hectare of wheat of 100 farms of a village.
Production yield (in kg/ha) 50-55 55-60 60-65 65-70 70-75 75-80
Number of farms 2 8 12 24 38 16

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

A:

Q:

The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
Weight (in kg) 40-45 45-50 50-55 55-60 60-65 65-70 70-75
Number of students 2 3 8 6 6 3 2

A:

Q:

The following table gives the distribution of the life time of 400 neon lamps:
Life time (in hours) Number of lamps
1500– 2000
2000– 2500
2500–3000
3000–3500
3500–4000
4000–4500
4500–5000
14
56
60
86
74
62
48
Find the median life time of a lamp.

A:

Q:

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.
Number of cars 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 7 14 13 12 20 11 15 8

A:

Q:

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Runs scored Number of batsmen
3000 – 4000

4000– 5000

5000– 6000

6000–7000

7000–8000

8000–9000

9000–10000

10000–11000
4

18

9

7

6

3

1

1
Find the mode of the data.

A:

Q:

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components.
Lifetimes (in hours) 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 10 35 52 61 38 29
Determine the modal lifetimes of the components.

A:

Q:

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.
Number of plants 0-2 2-4 4-6 6-8 8-10 10-12 12-14
Number of houses 1 2 1 5 6 2 3
Which method did you use for finding the mean, and why?

A:

Q:

During the medical check-up of 35 students of a class, their weights were recorded as follows:
Weight (in kg) Number of students
Less than 38

Less than 40

Less than 42

Less than 44

Less than 46

Less than 48

Less than 50

Less than 52
0

3

5

9

14

28

32

35
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

A:

Q:

The following distribution gives the daily income of 50 workers of a factory.
Daily income (in ₹) 100-120 120-140 140-160 160-180 180-200
Number of workers 12 14 8 6 10
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

A:

Q:

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:
Length (in mm) Number of leaves
118 – 126

127– 135

136– 144

145–153

154–162

163–171

172–180
3

5

9

12

5

4

2
Find the median length of the 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)

A:

Q:

A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 year.
Class interval Frequency
Below 20

Below 25

Below 30

Below 35

Below 40

Below 45

Below 50

Below 55

Below 60
2

6

24

45

78

89

92

98

100

A:

Q:

If the median of the distribution given below is 28.5, find the values of x and y.
Class interval Frequency
0 – 10

10– 20

20– 30

30–40

40–50

50–60
5

x

20

15

y

5
Total 60

A:

Q:

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
Number of students per teacher Number of states / U .T.
15– 20

20– 25

25–30

30–35

35–40

40–45

45–50

50–55
3

8

9

10

3

0

0

2

A:

Q:

The following table shows the ages of the patients admitted in a hospital during a year.
Age (in years) 5-15 15-25 25-35 35-45 45-55 55-65
Number of patients 6 11 21 23 14 5
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

A:

Q:

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Literacy rate (in %) 45-55 55-65 65-75 75-85 85-95
Number of cities 3 10 11 8 3

A:

Q:

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
Number of days 0-6 6-10 10-14 14-20 20-28 28-38 38-40
Number of students 11 10 7 4 4 3 1

A:

Q:

To find out the concentration of SO­2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below.
Concentration of SO­2 (in ppm) Frequency
0.00 – 0.04

0.04– 0.08

0.08 – 0.12

0.12–0.16

0.16–0.20

0.20–0.24
4

9

9

2

4

2
Find the mean concentration of SO2 in the air.

A:

Q:

The table below shows the daily expenditure on food of 25 households in a locality.
Daily Expenditure (in ₹) 100-150 150-200 200-250 250-300 300-350
Number of households 4 5 12 2 2
Find the mean daily expenditure on food by a suitable method.

A:

Q:

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.
Number of mangoes 50-52 53-55 56-58 59-61 62-64
Number of boxes 15 110 135 115 25
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

A:

Q:

Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heartbeats per minute for these women, choosing a suitable method.
Number of heartbeats per minute 65-68 68-71 71-74 74-77 77-80 80-83 83-86
Number of women 2 4 3 8 7 4 2

A:

Q:

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ₹ 18. Find the missing frequency f.
Daily pocket allowance (in ₹) 11-13 13-15 15-17 17-19 18-21 21-23 23-25
Number of children 7 6 9 13 f 5 4

A:

Q:

Consider the following distribution of daily wages of 50 workers of a factory.
Daily wages (in ₹) 500-120 520-140 540-160 560-180 580-200
Number of workers 12 14 8 6 10
Find the mean daily wages of the workers of the factory by using an appropriate method.

A:

Q:

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:
Number of letters 1-4 4-7 7-10 10-13 13-16 16-19
Number of surnames 6 30 40 16 4 4
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

A:

Q:

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.
Monthly consumption (in units) Number of consumers
65 – 85

85– 105

105– 125

125–145

145–165

165–185

185–205
4

5

13

20

14

8

4

A:

Benefits of NCERT Solutions

NCERT Solutions for Class 10 contain immensely significant points and for every chapter, each concept is simplified so that it turns out to be easy to remember that expands the odds of scoring commendably in the board exams. NCERT Solutions for class 10 by Extramarks is the best reference material for test preparation. Given below are a couple of points about how these solutions help in exam preparation.
1. It helps students practice loads of questions from every chapter which encourages them to make their concepts more grounded..

2. NCERT Solutions for Class 10 encourages you to upgrade your knowledge and clear your concepts with the goal that you can score well in your exams.

3. These solutions are the best examination materials to know your weak and strong points. It is essential to work on your weak points to score well in the exams. 

4. Most of the questions in exams are asked in a similar arrangement from NCERT textbooks. Hence, students should altogether revise every chapter’s solution to get a good command in subjects

Tips & Strategies for Class 10 Exam Preparation

1. Make a timetable to complete your syllabus and make time for revision.

2. Refer to NCERT Solutions given on the Extramarks website to clear your concepts anytime while preparing for your exams.

3. Start studying with the help of Extramarks – The Learning App to pass your exams with flying colours. It provides complete study material with solved and unsolved papers.

4. It is important to clear all your doubts before the exam with your teachers or Alex (an AI studybot).

5. While reading or learning a chapter, make sure to make notes with algorithms, formulas, theorems, etc., and study them for a quick revision before exams.

6. Practice an ample number of question papers to make your concepts stronger.

7. Take rest and a proper meal. Don’t stress too much.

Why opt for Extramarks NCERT Solutions for Class 10 ?

Extramarks provide NCERT Solutions for all subjects at your fingertips. These solutions are designed by subject matter experts and provide solutions to every NCERT textbook questions. Extramarks especially focuses on making learning interactive, effective and for all classes. We provide free NCERT Solutions for class 10 and all other classes

Frequently Asked Questions

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How to use NCERT Solutions for scoring in class 10 Maths CBSE Board Exams?

NCERT 10 solutions for math are in-depth solutions written in very basic and simple language which makes them easy to understand. It gives sufficient study material to practice with to the students which the latter can use for practicing for board exams. Extramarks website has NCERT solutions for all classes that can be used by students of different classes. These solutions can be accessed by visiting the footer section of the website. Prepare notes and learn from NCERT solutions, go through them thoroughly before the exam, and practice with the questions that crop up in NCERT solutions.

Do you provide solutions for All subjects for class 10 CBSE?

Yes, Extramarks website has NCERT solutions for class 10 along with all other classes of CBSE listed on the footer section. These solutions have been prepared by top faculty members who have years of experience and expertise in teaching CBSE students.

Why are the NCERT solutions Important for Class 10?

 Extramarks class 10 NCERT solutions are crucial for board preparation for students. These solutions are given in a simple language which makes it easy to understand for all and it proves to be the basis for board examination which further helps the students in understanding the extensive study material. Class 10 NCERT solutions focus on fundamental clarity of the concepts which further helping in clearing all doubts and helping students achieve concept clarity. NCERT solutions provide enough practice and study material to students that they can use to test their knowledge

Will NCERT solutions of Class 10th be good enough to prepare for the Class 10 Board exams?

Yes, class 10 solutions (NCERT) are sufficient to prepare for class 10 board exams. NCERT solutions are simple and easy to understand written in a way that is appealing to students. NCERT solutions form the basis of examination of class 10 board so they prove to be a sufficient solution which also gives enough study material to practice with to students. Different types of NCERT solutions help students prepare for the exam through varied formats and provide them concept clarity.

Do I need to use textbook solutions other than NCERT solutions for Class 10 exam prep

Class 10 CBSE NCERT solutions are sufficient to prepare for board exams but if you want to test your knowledge and would like to browse more solutions then you can use textbook solutions to prepare for the exam. Although the NCERT solutions are enough for preparing for the exam, you can check out the solved and unsolved sample papers along with textbook solutions from Extramarks - The Learning App and website

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