What is the coefficient of variation of marks in Mathematics?
Consider the following for the next two (02) items that follow : The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below : <table> <thead><tr><th>Subject</th><th>Mathematics</th><th>Physics</th><th>Chemistry</th><th>Biology</th></tr></thead> <tbody> <tr><td>Mean Marks</td><td>40</td><td>28</td><td>38</td><td>36</td></tr> <tr><td>SD</td><td>15</td><td>12</td><td>14</td><td>16</td></tr> </tbody> </table>
- A. 37.5% ✓
- B. 38.0%
- C. 38.5%
- D. 39.0%
Correct Answer: A. 37.5%
Explanation
The Coefficient of Variation (CV) is defined as \frac{SD}{\text{Mean}} \times 100. For Mathematics, the standard deviation is 15 and the mean is 40. Thus, CV = \frac{15}{40} \times 100 = 37.5\%.
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