Question

The mean of the data set comprising of $16$ observations is $16$. If one of the observation valued $16$ is deleted and three new observations valued $3,4,5$ are added to the data, then the mean of the resultant data, is

• A. $16.8$
• B. $16.0$
• C. $15.8$
• D. $14.0$

Answer 1

The correct option is D $14.0$

Initially there are 16 observations and the mean is 16.
Hence, the initial sum $=16\times 16=256$
After adding the new observations and deleting one observation of 16 , the sum is
$256-16+3+4+5=252$
Number of observations $=16-1+3=18$
New Average $=\frac{252}{18}=14$