Question

The arithmetic mean of the following frequency distribution is 25.
Determine the value of pClass Frequency0-10 510-20 1820-30 1530-40 P40-50 6

Answer 1

Given the frequency table as follows:

Class Mid pt x Frequency f x*f

0-10            5               5        25

20-10        15             18              270

20-30 25            15              375

30-40 35              p               35p

40-50 45             6               270

                             35p+940

As per the given data mean = 25

Hence total sum of frequency (x) = 25 (44+p)

Equating the two we get

35p+940 = 1100+25p

Or 10p = 160

p =16