Question

The average age of $5$ teachers is $28$ years. If one teacher is excluded the mean gets reduced by $2$ years. The age of the excluded teacher is ___________.

• A. $26$ years
• B. $33$ years
• C. $36$ years
• D. $35$ years

Answer 1

Answer: (C)

$36$ years

Mean of age of $5$ teachers $=28$ years

$\Rightarrow$ Sum of their ages $=28\times 5=140$

According to the question, age of one teacher$\left(x\right)$ is omitted and new mean is $28-2=26$ years

$\Rightarrow 26=\frac{140-x}{4}$

$\therefore x=140-104=36$ years