Standard deviation (S) and coefficient of Variation (CV expressed as a percentage) of different datasets are given in (A) to (D) below. Compute the mean of each dataset and arrange them in ascending order.
1.S = 4, CV = 40/9
2.S = 5, CV = 6.25
3.S = 14, CV = 70/3
4.S = 16, CV = 160/7
A3, 2, 4, 1
B3, 4, 2, 1 ✓ Correct
C1, 4, 2, 3
D4, 2, 3, 1
Correct answer: (B) 3, 4, 2, 1
Explanation
Mean = S × 100 ÷ CV. Dataset 1 gives 4 × 100 ÷ (40/9) = 90, dataset 2 gives 5 × 100 ÷ 6.25 = 80, dataset 3 gives 14 × 100 ÷ (70/3) = 60, dataset 4 gives 16 × 100 ÷ (160/7) = 70. Ascending by mean is 60, 70, 80, 90, that is 3, 4, 2, 1.
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