Question

at the end of the semester, mrs. johnson allows her students to drop their lowest test score. if jonah drops his lowest test score at the end of the semester, which of the following statements is most likely true? remember: removing an extreme value (outlier) has the greatest effect on the mean and range of a data set. a jonahs average test score will increase. b jonahs median test score will decrease. c the range of jonahs test scores will remain unchanged.

Explanation:

Step1: Recall mean and outlier concept

The mean is the sum of all values divided by the number of values. An outlier (lowest score here) can pull the mean down. Removing it will increase the sum of remaining values relative to the number of remaining values.

Step2: Recall median concept

The median is the middle - value when data is ordered. Removing the lowest score may or may not change the median depending on the number of data points. If there are an odd number of scores, and the lowest score is not the middle value, the median may stay the same. If there are an even number of scores, the median is the average of two middle - values and may or may not change.

Step3: Recall range concept

The range is the difference between the highest and lowest values. Removing the lowest value will decrease the range.

Answer:

A. Jonah's average test score will increase.