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If mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively,

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If mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively, then the variance of 6 observations x1, x2, ......., x5 and –50 is equal to 

(1) 582.5 

(2) 509.5 

(3) 507.5 

(4) 586.5

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The correct option is (3) 507.5.

Explanation:

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