Q. 135.0( 2 Votes )

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

Answer :

==== 9.

The respective (x_{i} - )^{2} are 3^{2}, 2^{2}, 1^{2}, 3^{2}, 4^{2}, 5^{2}, 1^{2}, 3^{2}.

∑ (x_{i} - )^{2} = 9^{ }+ 4 + 1^{ }+ 9 + 16 + 25 + 1 + 9 = 74

Hence variance (σ ^{2}) = 74/8 = 9.25

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