Which measure of central tendency is most influenced by outliers?
A)median
B)mode
C)mean
D)variance

Question

Quizplus · Accepted Answer

The mean is the measure of central tendency that is most influenced by outliers. This is because the mean takes into account the magnitude and direction of all data points, including the outliers. As a result, a single outlier that is very large or very small can significantly affect the overall value of the mean. The median, on the other hand, is not affected as much by outliers because it only takes into account the middle value(s) in the dataset. The mode is the least affected by outliers because it only reflects the most commonly occurring value(s) in the dataset. The variance is a measure of spread rather than central tendency and is not affected by outliers in the same way as measures of central tendency.

Which Measure of Central Tendency Is Most Influenced by Outliers