Question

If each observation of the data is increased by $5,$ then their mean :

• A. remains the same
• B. becomes 5 times the original mean
• C. is decreased by $5$
• D. is increased by $5$

Answer 1

The correct option is D is increased by $5$

Let there be $n$ terms.
Increasing every term by $5$ will increase their sum by $5n.$
Increase in Mean= $\frac{5n}{n}$= $5$