Four different populations consist of numbers as given in A-D below: Compute…
2026
Four different populations consist of numbers as given in A-D below: Compute the variance of each different population and arrange in descending order.
A. 6, 15, 27, 33, 39
B. 1, 2, 3, 4, 5, 6, 7
C. 10, 16, 10, 16, 10, 10, 16, 16
D. 10, 15, 10, 15
- A.
D, B, A, C
- B.
A, C, D, B
- C.
B, D, C, A
- D.
C, A, B, D
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Calculate the population variance (σ²) for each set using σ² = Σ(x - μ)² / N.
Set A: Mean = 24, Variance = 144. Set B: Mean = 4, Variance = 4.
Set C: Mean = 12, Variance = 10. Set D: Mean = 12.5, Variance = 6.25.
Arranging in descending order: A (144) > C (10) > D (6.25) > B (4).