JEE MATHEMATICS MCQ: STATISTICS

If $\bar{x}_1$ and $\sigma_1$ are the mean and standard deviation of the first distribution and $\bar{x}_2$ and $\sigma_2$ are the mean and standard deviation of the second distribution.

I. CV (1st distribution)$=\frac{\sigma_1}{\overline{{x}}_1} \times 100$

II. CV (2nd distribution)$=\frac{\overline{{x}}_2}{\sigma_2} \times 100$

III. For $\overline{{x}}_1=\overline{{x}}_2$, the series with lesser value of standard deviation is said to be more variable than the other.

IV. For $\overline{{x}}_1=\overline{{x}}_2$, the series with greater value of standard deviation is said to be more consistent than the other.