# What will be the Value of M? If

The frequency distribution data is given below. If the average age is 17 years, the value of m is
Age (in year) : 8   20   26   29
Number of people: 3   2   m   1

1. 1
2. 2
3. 3
4. 4
Manish Listener Asked on 15th July 2015 in

The frequency distribution table

No. of peoples.       ( Xi ) ; 8 , 20, 26, 29
Frequency in age ( Fi  ): 3,  2,    m,   1

sigma( Fi * Xi ) = 93 +26m,  sigma ( Xi ) = 6 + m

Mean ( average ) = sigma.( Fi * Xi ) / sigma.( Xi )
17  = 93 + 26m / 6 + m

on multiply ing 17 on both sides, we get
93 + 26m = 102 + 17 m
( 26 – 17 )m = 9
9m = 9
m = 1.
Hence, the value of m is 1.

vijay Professor Answered on 15th July 2015.