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 5 students.
Show answer & explanation
Correct answer: B
The relationship between Mean, Standard Deviation (S), and Coefficient of Variation (CV) is given by: CV = (S / Mean) × 100. Rearranging for Mean gives: Mean = (100 × S) / CV.
Calculating the mean for each dataset:
A: Mean = (100 × 4) / (40/9) = 400 × 9 / 40 = 90
B: Mean = (100 × 5) / 6.25 = 500 / 6.25 = 80
C: Mean = (100 × 14) / (70/3) = 1400 × 3 / 70 = 60
D: Mean = (100 × 16) / (160/7) = 1600 × 7 / 160 = 70
Arranging the means in ascending order: 60 (C), 70 (D), 80 (B), 90 (A). The correct sequence is C, D, B, A.