Question

What does it mean if a statistic is​ resistant? choose the correct answer below.

Answer 1

When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.

Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample:  -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.

So option a is the correct ans.