Let x i (1 ≤ i ≤ 10) be ten observations of a random variable X. If Σ i = 1 ¹⁰ (x i - p) = 3 and Σ i = 1 ¹⁰ (x i - p)² = 9 where 0 ≠ p R, then the standard deviation of these observations is:

Statistics and Probability: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Evening shift · Q5456

JEE Main 20203 Sep, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let x_i (1

\le

\le

10) be ten observations of a random variable X. If

\sum\limits_{i = 1}^{10} {\left( {{x_i} - p} \right)} = 3

and

\sum\limits_{i = 1}^{10} {{{\left( {{x_i} - p} \right)}^2}} = 9

where 0

\ne

\in

R, then the standard deviation of these observations is :