Question

The distribution of income of $60$ teachers in a school are given below. Find the Arithmetic mean of the following data by Asumed mean method.

• A. $256$
• B. $230$
• C. $265$
• D. $254$

Answer 1

Answer: (C)

$265$

Let us first construct the table.
Let us take the assumed mean, $a=275$
$\overline{x}=a+\frac{\sum f_i{d}_i}{\sum f_i}$
$\overline{x}=275+\left[\frac{-600}{60}\right]=275-10$
$\overline{x}=265$