Question

The mean of $16$ observations is $16$. If one observation $16$ is deleted and three observations $5,5,6$ are included, then the mean of new observations is

• A. $16$
• B. $15.5$
• C. $13.5$
• D. None of these

Answer 1

Answer: (D)

None of these

We have
$\frac{\text{Sum of 16 observations}}{16}=16$
$\Rightarrow \text{Sum of 16 observations}=256$
$\text{Mean of the new observations}=\frac{256-16+5+5+6}{18}=14.22$