Four different populations consist of numbers as given in A-D below : Compute the variance of each different population and arrange in descending order.
1.6, 15, 27, 33, 39
2.1, 2, 3, 4, 5, 6, 7
3.10, 16, 10, 16, 10, 10, 16, 16
4.10, 15, 10, 15
A4, 2, 1, 3
B1, 3, 4, 2 ✓ Correct
C2, 4, 3, 1
D3, 1, 2, 4
Correct answer: (B) 1, 3, 4, 2
Explanation
Compute the variance of each set as the average of the squared deviations from its mean. Set 1 gives 144, set 3 gives 9, set 4 gives 6.25 and set 2 gives 4. Arranged from highest to lowest the order is 1, 3, 4, 2, which is option B.
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