First slide

Introduction to statistics

Question

If the mean of first n odd natural numbers is $\frac{n^{2}}{81},$

Moderate

A

9
B

81
C

27
D

none of these

Solution

It is given that
$\frac{1 + 3 + 5 + 7 + \dots + (2 n - 1)}{n} = \frac{n^{2}}{81} \Rightarrow \frac{n^{2}}{n} = \frac{n^{2}}{81} \Rightarrow n = 81$

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