Standard deviation (S) and coefficient of Variation (CV Expressed as a…
2025
Standard deviation (S) and coefficient of Variation (CV Expressed as a percentage) of different datasets are given in A-D, below. Compute the mean of each dataset and arrange in ascending order.
A. S=4, CV=40/9
B. S=5, CV=6.25
C. S=14, CV=70/3
D. S=16, CV=160/7
Choose the correct answer from the options given below:
- A.
C, B, D, A
- B.
C, D, B, A
- C.
A, D, B, C
- D.
D, B, C, A
Attempted by 11 students.
Show answer & explanation
Correct answer: B
The Coefficient of Variation formula is CV = (S / Mean) × 100. Rearranging gives Mean = (S / CV) × 100.
For A: (4 ÷ 40/9) × 100 = 90. For B: (5 ÷ 6.25) × 100 = 80. For C: (14 ÷ 70/3) × 100 = 60. For D: (16 ÷ 160/7) × 100 = 70.
Arranging in ascending order: C (60), D (70), B (80), A (90). The correct sequence is C, D, B, A.