Question

robin’s scores: 99, 108, 102, 107, 119
mean = 107; mad = 5.2
evelyn’s scores: 125, 137, 138, 145, 145
mean = 138; mad = 5.6
explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn’s data.

Explanation:

The mean absolute deviation (MAD) is a measure of variability in a data - set. It is calculated by finding the average of the absolute differences between each data point and the mean of the data - set. In Robin's data, with a MAD of 5.2, on average, each of Robin's scores deviates from the mean score of 107 by 5.2 points. In Evelyn's data, with a MAD of 5.6, on average, each of Evelyn's scores deviates from the mean score of 138 by 5.6 points.

Answer:

The mean absolute deviation (MAD) is a measure of the average distance between each data value and the mean of a data - set. For Robin, on average, each score is 5.2 points away from the mean score of 107. For Evelyn, on average, each score is 5.6 points away from the mean score of 138.