Using the following data, which measure of central tendency would change most if the highest score were 15 instead of 30?
30, 12, 7, 7, 6, 5, 3, 2, 0
A) Range
B) Mean
C) Median
D) Mode

Question

Quizplus · Accepted Answer

The mean would change the most because it takes into account every value in the data set, whereas the median and mode are only affected by the highest value if it is one of the central values (in the case of the median) or the most frequently occurring (in the case of the mode). The range is simply the difference between the highest and lowest values, so changing the highest value from 30 to 15 would decrease the range but not affect the measure of central tendency.

Using the Following Data, Which Measure of Central Tendency Would