Question

analyzing mean absolute deviations
robins scores: 99, 108, 102, 107, 119
mean = 107; mad = 5.2
evelyns 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 evelyns data.

Explanation:

The mean absolute deviation (MAD) is a measure of variability in a data - set. It tells us, on average, how far each data point is from the mean. For Robin and Evelyn, the MAD values (5.2 and 5.6 respectively) show the average distance between each of their scores and their respective means. A lower MAD for Robin (5.2) compared to Evelyn (5.6) indicates that Robin's scores are, on average, closer to her mean score of 107 than Evelyn's scores are to her mean score of 138.

Answer:

The mean absolute deviation (MAD) is a measure of the average distance between each data point in a set and the mean of that set. For Robin and Evelyn, it shows how spread - out their scores are around their respective means. Robin has a lower MAD, meaning her scores are more clustered around her mean compared to Evelyn's scores around her mean.