If Σ i = 1 n x i - a = n and Σ i = 1 n x i - a 2 = n a , n , a 1 , then the standard deviation of n observations x 1 , x 2 , … , x n is

Question

If Σ i = 1 n x i - a = n and Σ i = 1 n x i - a 2 = n a , n , a > 1 , then the standard deviation of n observations x 1 , x 2 , … , x n is, a - 1, n ( a - 1 ), n ( a - 1 ), ( a - 1 )

MARKS App · Accepted Answer

SD, σ = ∑ x i 2 n - ∑ x i n 2 SD is independent of change of origin, so, for given data σ = Σ x i - a 2 n - Σ x i - a n 2 = n a n - n n 2 = a - 1

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