The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ΣX = 200, ΣY = 250, ΣX² = 900 and ΣY² = 1400. Which one of the following is correct?

Question

Accepted Answer

Variance (X) < Variance (Y). Variance(X) = ΣX²/n − (ΣX/n)² = 900/50 − (200/50)² = 18 − 16 = 2. Variance(Y) = ΣY²/n − (ΣY/n)² = 1400/50 − (250/50)² = 28 − 25 = 3. Hence Variance(X) < Variance(Y).

The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ΣX = 200, ΣY = 250, ΣX² = 900 and ΣY² = 1400. Which one of the following is correct?

Explanation

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