NCERT Class 10 Chapter 14 Statistics CBSE Board Sample Problems Very Short Answer

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Question

Given below is a cumulative frequency distribution of “less than type”.

Given below is a Cumulative Frequency Distribution of “Less Than Type
Given below is a cumulative frequency distribution of “less than type

Marks obtained

Less than 20

Less than 30

Less than 40

Less than 50

No. of students cumulative frequency

8

13

19

24

Change the above data into a continuous grouped frequency distribution

Solution

Change the Above Data into a Continuous Grouped Frequency Distribution
Change the above data into a continuous grouped frequency distribution

Class interval

Number of students ()

10-20

20-30

30-40

40-50

8

5

6

5

Question

In a frequency distribution, if a = assumed mean = 55, , h = 10 and , then find the mean of the distribution

Solution

Mean

Question

Find mode using an empirical relation when it is given that mean and median are 10.5 and 9.6 respectively.

Solution

Mean and median

Empirical relation: 3 Median

Mode

Question

A class teacher has the following absentee record of 40 students of a class for the whole term.

Absentee Record of 40 Students of a Class for the Whole Term
Absentee record of 40 students of a class for the whole term

No. of days

0-6

6-10

10-14

14-20

20-28

28-38

38-40

No. of students

11

10

7

4

4

3

1

Write the above distribution as less than type cumulative frequency distribution.

Solution

Less Than Type Cumulative Frequency Distribution
Less than type cumulative frequency distribution.

No. of days

Less than 6

Less than

10

Less than

14

Less than

20

Less than

28

Less than

38

Less than

40

No. of students

11

21

28

32

36

39

40

Question

Following is a cumulative frequency curve for the marks obtained by 40 students as shown in figure. Find the median marks obtained by the student.

A cumulative frequency curve

A Cumulative Frequency Curve

Solution

40

Question

In a frequency distribution mode is 7.88, mean is 8.32 find the median.

Solution

Mode = 3 median mean

Median

median

= median

Median = 8.17

Question

The class in which mode lies is called as

Solution

Modal class

Question

If mean = 31.04 and median = 30.625, then find the mode.

Solution

3median mode + 2 mean

Mode

Mode

Question

The mean and median of a distribution are both equal to 635.97. Find the mode

Solution

Mode = 635.97

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