Paper 1 · Paper 1
UGC NET June 2024 Re-Exam (30.08.2024) Shift-II
Arrange the correlation coefficients computed from the following covariance and standard-deviation data in ascending order. Choose the correct answer from the options given below.
- 1. cov(x, y) = 18, sigma-x = 4, sigma-y = 9
- 2. cov(x, y) = 15, sigma-x = 8, sigma-y = 3
- 3. cov(x, y) = 16, sigma-x = 7, sigma-y = 4
- 4. cov(x, y) = 21, sigma-x = 6, sigma-y = 5
A1, 3, 2, 4 ✓ Correct
B2, 3, 4, 1
C3, 2, 1, 4
D4, 2, 1, 3
Correct answer: (A) 1, 3, 2, 4 — The ascending order is 1, 3, 2, 4, so that is the answer.
Explanation
★The ascending order is 1, 3, 2, 4, so that is the answer.
★Correlation equals covariance over the product of standard deviations.
★Dataset 1 gives 18 over 36, which is 0.50, the smallest.
★Dataset 3 gives 16 over 28, about 0.57.
★Dataset 2 gives 15 over 24, about 0.625, and dataset 4 gives 21 over 30, which is 0.70.
★Hence 1, 3, 2, 4 is correct.
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