JEE PYQ: Statistics Question 20
Question 20 - 2020 (08 Jan Shift 1)
The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by $p$ and then reduced by $q$, where $p \neq 0$ and $q \neq 0$. If the new mean and new s.d. become half of their original values, then $q$ is equal to:
(1) $-5$ (2) 10 (3) $-20$ (4) $-10$
Show Answer
Answer: (3) $-20$
Solution
$p = -\frac{1}{2}$, $q = -20$.