Question

The mean deviation of an ungrouped data is $50$. If each observation is increased by $2\%$, then the new mean deviation is

• A. $50$
• B. $51$
• C. $49$
• D. $50.5$

Answer 1

The correct option is A $50$

Given mean deviation$=50$

the terms are increased by $2$

$\Rightarrow$ mean is also increased by $2$

$\therefore$ Since both mean and each observation are increased by same amount mean deviation wont change

$\therefore$ New mean deviation$=$old mean deviation

$=50$.