JEE PYQ: Statistics Question 9
Question 9 - 2020 (02 Sep Shift 2)
If the variance of the terms in an increasing A.P., $b_1, b_2, b_3, \ldots, b_{11}$ is 90, then the common difference of this A.P. is ____.
Show Answer
Answer: 3
Solution
Variance of AP with $n$ terms: $\frac{(n^2-1)d^2}{12}$. For $n=11$: $10d^2 = 90$, $d = 3$.