Find the mean of the following frequency distribution, using step-deviation method:

Class 0-10 10-20 20-30 30-40 40-50

Frequency 7 12 13 10 8

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Solution

The following frequency distribution is given

Class 0-10 10-20 20-30 30-40 40-50

Frequency 7 12 13 10 8

We have to find the mean of the above frequency distribution using step deviation method.

By using step deviation method, we have

Class
Frequency

Mid-value

00-10 7 5

10-20 12 15

20-30 13 25 0 0

30-40 10 35 1 10

40-50 8 45 2 16

From the above distribution, we have

We know the mean of a given distribution is given by

Hence the mean of the given distribution is 25.

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Similar questions

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of students	12	18	27	20	17	6

Class	0-10	10-20	20-30	30-40	40-50
Frequency	7	12	13	10	8

Class	50-60	60-70	70-80	80-90	90-100
Frequency	8	6	12	11	p

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	7	5	6	12	8	2

Find the mean, using direct method:

$\begin{matrix} Class & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 3 & 5 & 9 & 5 & 3 \end{matrix}$

Class	0−10	10−20	20−30	30−40	40−50
Frequency	8	p	12	13	10

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