# 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
- 2
- 3
- 4

**Answer: (1). 1**

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.**