Which descriptive summary measures are resistant statistics?
A)The arithmetic mean and standard deviation.
B)The interquartile range and range.
C)The mode and variance.
D)The median and interquartile range.

Question

Quizplus · Accepted Answer

The median and interquartile range are resistant statistics because they are not influenced by extreme values/outliers in the data. The arithmetic mean and standard deviation (A) are not resistant because they are susceptible to outliers. The range (B) is also not resistant because it is highly influenced by extreme values. The mode and variance (C) are not resistant either as the mode can change if there are outliers and variance is highly influenced by extreme values.

Which Descriptive Summary Measures Are Resistant Statistics