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

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

What is the mean absolute deviation?

Mean refers to the average of the observation and deviation means the variation from the present standard.

Given

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

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

More about the mean and the mean absolute deviation link is given below.

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