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Question

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

Solution
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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,¯X=10i=1xi10=16510=16.5
Now,
xi
(Xi¯X) (Xi¯X)2
3-13.5182.25
6-10.5110.25
9-7.556.25
12-4.520.25
15-1.52.25
181.52.25
214.520.25
247.556.25
2710.5110.25
3013.5182.25


742.5

Variance (σ2)=1n10i=1(Xi¯X)2=110×742.5=74.25

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