Question

Let mean of $100$ data points be $55$ and variance be $16$ . Now if every data point is increased by $2$ units, then the sum of mean and standard deviation of new data point will be:

• A. $71$
• B. $59$
• C. $63$
• D. $61$

Answer 1

The correct option is D $61$

As the 2 units are added to every point on the data , there will be no change in the standard deviation .But mean will raise by 2units

Hence new mean = 57

Given Variance=16

Standard deviation = $\sqrt{variance}=\sqrt{16}=4$

Sum of mean and standard deviation = $57+4=61$ units