Arrange the given groups, with the following means (X) and standard deviations (sigma), in descending order of their coefficient of variation. Choose the correct answer from the options given below.

1.Sigma = 4.3, X = 13.8

2.Sigma = 3.8, X = 12.7

3.Sigma = 5.7, X = 14.9

4.Sigma = 4.7, X = 14.1

A1, 2, 3, 4

B2, 3, 4, 1

C3, 4, 1, 2 ✓ Correct

D4, 1, 2, 3

Correct answer: (C) 3, 4, 1, 2

Explanation

The coefficient of variation equals sigma over mean, so the descending order runs 3, 4, 1, 2.

Group 3, 5.7 over 14.9, gives about 0.38, the largest relative spread.

Group 4, 4.7 over 14.1, gives about 0.33.

Group 1, 4.3 over 13.8, gives about 0.31.

Group 2, 3.8 over 12.7, gives about 0.30, the smallest relative spread.

The coefficient of variation expresses dispersion relative to the mean, aiding comparison across groups.

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