### The mean of 100 observations was calculated as 40. It was founder later on that one of the observation was misread as 83 instead of 53. The correct mean is :

**A.** 39

**B.** 39.7

**C.** 40.3

**D.** 42.7

## Show Answer

###
Answer-B

Solution-

Solution(By Apex Team)

$\begin{array}{l}\text{Difference = 53 – 83 = – 30}\\
\text{Change in average}\\
=-\frac{30}{100}\\
=-0.3\\
\text{So, correct average}\\
=40-0.3\\
=39.7\end{array}$