AMU 2026 — Mathematics PYQ

1. Definition of Coefficient of Variation (CV)

The Coefficient of Variation is a statistical measure of the dispersion of data points in a data series around the mean. It is defined as the ratio of the standard deviation to the mean, expressed as a percentage:

$$\text{CV}=\left(\frac{\sigma }{\mu }\right)\times 100$$

Where:

• $\sigma$ = Standard deviation

• $\mu$ = Mean

2. Calculation

Given the values from the problem:

• Mean ($\mu$) = $25$

• Standard Deviation ($\sigma$) = $20$

Plug these values into the formula:

$$\text{CV}=\left(\frac{20}{25}\right)\times 100$$

Simplify the fraction:

$$\text{CV}=0.8\times 100$$

$$\text{CV}=80$$

Conclusion

The coefficient of variation for the given data set is 80%.

This directly matches option (c).