# 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. A Cumulative Frequency Curve

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