Introduction to statistics

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Question

If the arithmetic mean of first n natural numbers is 15, then n =

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Solution

We have,
$\frac{1 + 2 + 3 + \dots + n}{n} = 15 \Rightarrow \frac{n (n + 1)}{2 n} = 15 \Rightarrow n = 29$

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Variate x	1	2	3	4	5
Frequency f of x	4	5	y	1	2