The mean and standard deviation of marks obtained by 50 students of a class in there subjects, mathematics, physics and chemistry are given below: Subject Mathematics Physics Chemistry Mean 42 32 40.9 Standard Deviation 12 15 20 Which of the three subjects shows the highest variability in marks and which shows the  lowest?

Explanation

To determine which of the three subjects (Mathematics, Physics, and Chemistry) shows the highest and lowest variability in marks, we will calculate the Coefficient of Variation (CV) for each subject. The Coefficient of Variation is calculated using the formula:

\[ CV = \left( \frac{\sigma}{\bar{x}} \right) \times 100 \]

where:
- \(\sigma\) = standard deviation
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