Correct Answer - Option 2 : Only (I) is correct
Variance is independent of change of origin as the change in origin is uniformly added to all the values and hence the mean also and hence, when is calculated, it remains unaffected. But, change of scale alters all values unevenly and hence, variation changes.
The coefficient of variance is standard deviation by mean which doesn't depend on the unit of observation.
So, Statement 1 is correct Statement 2 is incorrect.