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Find the mean and variance for the first 10 multiples of 3

Question

Find the mean and variance for the first $10$ multiples of $3$

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Find the mean and variance for the first

10

multiples of

3

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

The first 10 multiples of 3 are

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Here number of observation are

n = 10

∴

Mean,

\overset{ˉ}{X} = \frac{\sum _{i = 1}^{10} x _{i}}{10} = \frac{165}{10} = 16.5

Now,

∴

Variance

(σ^{2}) = \frac{1}{n} i = 1 \sum 10 (X_{i} - \overset{ˉ}{X})^{2} = \frac{1}{10} \times 742.5 = 74.25

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Question Text	Find the mean and variance for the first $10$ multiples of $3$
Answer Type	Text solution:1
Upvotes	150