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Question

Find the mean and variance for the data
Xi6101418242830
fi
24712843

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Solution

The data is obtained in tabular form as follows
XififiXi Xi¯X (Xi¯X)2 fi(Xi¯X)2
6212-13169338
10440-981324
14798-525175
1812216-1112
248192525200
284112981324
3039011121363

40760


1736
Here, N=40, 7i=1fixi=760
¯x=7i=1fixiN=76040=19
and Variance (σ2)=1N7i=1fi(xi¯X)2=140×1736=43.4

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