The measure of variability that is influenced most by extreme values is the
A) variance.
B) standard deviation.
C) range.
D) interquartile range.

Question

Quizplus · Accepted Answer

The range is heavily influenced by extreme values because it is the difference between the maximum and minimum values in a data set. If there are extreme values, the range will be much larger than if the extreme values were not present. The variance and standard deviation also take into account extreme values, but the effect is less significant because they are based on squared differences from the mean, which reduces the impact of individual extreme values. The interquartile range is not influenced as much by extreme values because it only considers the middle 50% of the data, ignoring outliers.

The Measure of Variability That Is Influenced Most by Extreme