Question
Download Solution PDFComprehension
The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below :
| Subject | Mathematics | Physics | Chemistry | Biology |
| Mean Marks | 40 | 28 | 38 | 36 |
| SD | 15 | 12 | 14 | 16 |
What is the coefficient of variation of marks in Mathematics ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The data with the greatest coefficient of variation has the highest variability.
Coefficient of variation = \({S.D. \over \text {Mean}} \times 100\)
where S.D. is the standard deviation of the data.
Calculation:
Given:
| Subject | Mathematics | Physics | Chemistry | Biology |
| Mean Marks | 40 | 28 | 38 | 36 |
| SD | 15 | 12 | 14 | 16 |
⇒ S.D. of mathematics = 15 and Mean for Mathematics = 40
So, the coefficient of variation for Mathematics = \({15 \over \text 40} \times 100 = {75 \over 2} \)
⇒ The coefficient of variation for Mathematics = 37.5
∴ The correct option is (1).
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