Paper 1 · Research Aptitude
UGC NET June 2024 Re-Exam (23.08.2024) Shift-II
Arrange the data sets with the following pairs of mean and standard deviation in ascending order of their coefficient of variation. Choose the correct answer from the options given below.
- 1. mean 14, standard deviation 2.8
- 2. mean 9, standard deviation 1.5
- 3. mean 12, standard deviation 2.1
- 4. mean 8, standard deviation 1.2
A1, 2, 3, 4
B2, 3, 4, 1
C4, 2, 3, 1 ✓ Correct
D3, 4, 1, 2
Correct answer: (C) 4, 2, 3, 1 — The ascending order of coefficient of variation is set 4, 2, 3, 1, so the answer is 4, 2, 3, 1.
Explanation
★The ascending order of coefficient of variation is set 4, 2, 3, 1, so the answer is 4, 2, 3, 1.
★The coefficient of variation is the standard deviation divided by the mean, as a percentage.
★For set 4 it is 1.2 over 8, which is 15 percent, the smallest.
★For set 2 it is 1.5 over 9, about 16.67 percent.
★For set 3 it is 2.1 over 12, about 17.5 percent.
★For set 1 it is 2.8 over 14, which is 20 percent, the largest, giving 4, 2, 3, 1.
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