NCERT Class 10 Chapter 14 Statistics CBSE Board Sample Problems Very Short Answer (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question

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

 Class interval Number of students () 10 - 2020 - 3030 - 4040 - 50 8565

Question

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

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.

 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

 No. of days Less than 6 Less than10 Less than14 Less than20 Less than28 Less than38 Less than40 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.

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

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

Mode = 635.97

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