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

Question

Find mean of the following frequency distribution taking assumed mean 25-Class0-1010-2020-3030-4040-50 f 6101374

Toppr Admin · Accepted Answer

Let assumed mean -A- - 25Table for calculation of arithmetic mean -Arithmetic mean -xAF-x-A-x2211-fidi-x2211-fi-25-x2212-7040-25-x2212-1-75-23-25Thus- required arithmetic mean - 23-25

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

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

Find mean of the following frequency distribution taking assumed mean 25.Class0-1010-2020-3030-4040-50f6101374

Let assumed mean (A) = 25Table for calculation of arithmetic mean :Arithmetic mean (¯x)=A+∑fidi∑fi=25+−7040=25−1.75=23.25Thus, required arithmetic mean = 23.25

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

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