Find the mean of each of the following frequency distributions :

Class interval: 0−8 8−16 16−24 24−32 32−40

Frequency: 6 7 10 8 9

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Solution

Let the assumed mean be A = 20 and h = 8.

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the mean is 21.4.

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Class interval:	0-8	8-16	16-24	24-32	32-40
Frequency:	$5$	$6$	$4$	$3$	$2$

Size of items:	0-4	4-8	8-12	12-16	16-20	20-24	24-28	28-32	32-36	36-40
Frequency:	5	7	9	17	12	10	6	3	1	0

Class interval:	50-70	70-90	90-110	110-130	130-150	150-170
Frequency:	18	12	13	27	8	22

Class interval:	0-6	6-12	12-18	18-24	24-30
Frequency:	6	8	10	9	7

Class interval:	0−8	8−16	16−24	24−32	32−40
Frequency:	6	7	10	8	9