The means and variance of n observations ${x_1},{x_2},{x_3}, \ldots ,{x_n}$ are 5 and 0 respectively. If $\mathop \sum \limits_{i = 1}^n x_i^2 = 400$, then the value of n is equal to

JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

The means and variance of n observations

{x_1},{x_2},{x_3}, \ldots ,{x_n}

are 5 and 0 respectively. If

\sum \limits_{i = 1}^n x_i^2 = 400

, then the value of n is equal to

View answer and explanation

Correct option: D

Option D (16) is correct because the variance is 0, all observations are equal to the mean, and the sum of squares can be used to find n.

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{x_1},{x_2}, \ldots ,{x_n}

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