Question

Which of the following are not sensitive to outliers?

 1. coefficient of variation

 2. Mode

 3. The range

 4. Arithmetic mean.

 5. Median

 6. standard deviation

 7. Z score

 8. Interquartile range

Answer 1

answer is 2. Mode 5. Median and 8 IQR

mode is not affected by outliers

median is middle value so it's not affected by outliers

IQR is also not much affected bye outliers

Mean is very sensitive to outliers as it's affected by extreme values

Every time we calculate as, we need mean

So sd is also sensitive to outliers

Cv is sd/mean so coefficient of variation is also sensitive to outliers

Range=max-min so it's affected by outliers

Z score= X-mean/sd and as mean and sd both are affected by outliers, z score is also affected by outliers