Question

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Jordan is a sixth-grade student. He created one data set by recording the ages of all the students in his classes. He created a second data set by recording the ages of all his teachers. Which data set would you expect to have the greater mean absolute deviation? Why?

Answer 1

Second Data Set

Explanation:

The mean absolute deviation describes the average distance between each data point. Let's consider both data sets. In data set one, classmate ages are recorded. Because most of Jordan's classmates are close together in age, the amount of deviation is small. In data set two, teach ages are recorded. Because teacher's ages can range from 23-99, the deviation in this set is expected to be larger than set one.