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

a. extreme values (very large or small) relative to the data do not affect its value substantially.

b. changing particular data values affects its value substantially.

c. an estimate of its value is extremely close to its actual value.

d. extreme values (very large or small) relative to the data affect its value substantially?

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.