Consider the following data set: 2,2,3,3,3,4,4,5,5,92.If the last value (92)is removed from the data set,which statistical measure will change the most?
A) only the mode
B) only the mean
C) the median
D) the mode and the mean

Question

Quizplus · Accepted Answer

Removing the outlier value of 92 will have a large effect on the mean, as it is significantly larger than the other values and will pull the mean upwards. The median will not be affected by the outlier, as it is based on the middle value(s) of the data set, and the mode will not change because there is still a clear most frequent value (3). Therefore, the best choice is B) only the mean.

Consider the Following Data Set: 2,2,3,3,3,4,4,5,5,92