Find mean of the following frequency distribution taking assumed mean 25.
Class 0-10 10-20 20-30 30-40 40-50
$f$ 6 10 13 7 4

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Solution

Let assumed mean (A) = 25
Table for calculation of arithmetic mean :
Arithmetic mean $(¯ x) = A + \frac{\sum f_{i} d_{i}}{\sum f_{i}} = 25 + \frac{- 70}{40} = 25 - 1.75 = 23.25$
Thus, required arithmetic mean = 23.25

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Class-interval:	0-10	10-20	20-30	30-40	40-50
No. of workers f:	7	10	15	8	10

21 \frac{1}{7}

f

C.I	0-10	10-20	20-30	30-40	40-50
$f$	$8$	$22$	$31$	$f$	$2$

Class Interval	Frequency
0 - 10 10 - 20 20 - 30 30 - 40 40 - 50	4 6 10 16 14

Class	0-10	10-20	20-30	30-40	40-50
Frequency	6	4	3	K	2

Class	0-10	10-20	20-30	30-40	40-50
Frequency	9	12	15	10	14

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