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.

Answer 1

Mean Absolute Deviation (MAD) is a measure of the variability or scatter of a set of data. It is calculated as the average absolute difference between each data point and the mean of the data set.

In the context of Robin and Evelyn's data, the mean of each data set is calculated as the sum of all data points divided by the number of data points. The MAD is then calculated as the average of the absolute differences between each data point and the mean.

For Robin's data, the mean is 107 and the MAD is 5.2, which means that, on average, each data point is 5.2 units away from the mean of 107.

For Evelyn's data, the mean is 138 and the MAD is 5.6, which means that, on average, each data point is 5.6 units away from the mean of 138.

In general, the MAD provides a measure of the "typical" or "average" deviation of data points from the mean and can be used to compare the variability of different data sets.

Answer 2

Mean absolute deviation,

Explanation:

data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.

Hope it helps!