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The variance of the data 1,2,3,…….10,11,...

The variance of the data 1,2,3,…….10,11,12,13,14,15 is

A

8

B

64

C

`248/3`

D

`56/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Mean of the data
`=(1+2+….+15)/(15) = (15 xx 16)/(2 xx 15) = 8`
Mean of `1^(2), 2^(2), ………. 15^(2)`
`=(1^(2) + 2^(2) + ………+ 15^(2))/(15) = (15 xx 16 xx 31)/(6 xx 15)`
`=248/3`
Varience `=248/3-64 = 56/3`
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