Question

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

A. Changing particular data values affects its value substantially.
B. Extreme values (very large or small) relative to the data affect 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 do not affect its value substantially.

Answer 1

Answer:

The correct option is D. Extreme values (very large or small) relative to the data do not affect its value substantially.

Step-by-step explanation:

Resistance is a measure of sensitivity to variations in data data. One method is resistant if it is not sensitive to data. In other words, a statistic is resistant if its value does not change substantially even if there are changes in a small percentage of data in the extreme parts of the distribution.

So, a statistic is resistant if extreme values (very large or small) relative to the data do not affect its value substantially (option D)