Question

Nelly computed the mean of $5$ numbers to be $7$. When she checks her work, she realizes she misread $3$ as $8$. What is the actual mean?

• A.
  $6$
• B.
  $8$
• C.
  $7.6$
• D.
  $8.6$

Answer 1

The correct option is A

$6$
Given:
Mean of $5$ numbers $=7$
Sum of $5$ numbers $=5\times 7=35$

Since she misread $3$ as $8$, hence the actual sum of numbers will be $8-3=5$ less.
$\Rightarrow$ Actual sum of numbers
$=35-5=30$
Thus, actual mean $=\frac{30}{5}=6$