Which of the following is sensitive to extreme values?
A) the median
B) the interquartile range
C) the arithmetic mean
D) the 1ˢᵗ quartile

Question

Quizplus · Accepted Answer

The arithmetic mean is sensitive to extreme values because it takes into account all values in a distribution, including outliers or extreme values. Even if just one extreme value is present, it can significantly impact the mean, making it appear higher or lower than what it would be if that extreme value was not present. In contrast, the median and interquartile range are not as sensitive to extreme values because they only consider the middle 50% of the data (or in the case of the median, only the middle value), and are less affected by extreme values. The 1st quartile, by definition, only considers the lower 25% of the data and is not as sensitive to extreme values as the mean.

Which of the Following Is Sensitive to Extreme Values