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Question

Find the mean and variance for the data 6,7,10,12,13,4,8,12

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Solution

Given date is, 6,7,10,12,13,4,8,12
Mean ¯x=8i=1xin=6+7+10+12+13+4+8+128=728=9
Now,
xi
(xi¯x) (xi¯x)2
6
-39
7 -24
10 -11
12
39
13 416
4 -525
8 -11
12 39


74
Variance (σ2)=1n8i=l(xi¯x)2=18×74=9.25

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