Question

complete the following statement: a descriptive measure is resistant if...

choose the correct answer below.

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

b. it is not sensitive to the influence of a few extreme observations.

c. it is sensitive to the influence of a few extreme observations.

d. changing particular data values affects its value substantially.

Explanation:

To determine the correct answer, we analyze the concept of a resistant descriptive measure. A resistant measure should not be greatly affected by extreme observations.

• Option A refers to accuracy of an estimate, not resistance.
• Option B states it is not sensitive to extreme observations, which matches the definition of a resistant measure.
• Option C says it is sensitive to extreme observations, which is the opposite of resistant.
• Option D says changing data values affects it substantially, which also goes against the idea of resistance.

Answer:

B. It is not sensitive to the influence of a few extreme observations.