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QuizMultiple Choice

Mean Absolute Deviation

Question 1 • Concepts in Probability and Statistics A

The values for three sets of data are shown below.Data Data SetValues142, 48, 50, 88, 49263, 29, 35, 28, 3032, 5, 3, 8Without calculating any statistics, Anna knows that data set 3 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?

Answer
A
Sets 1 and 2 contain outliers.
B
Set 3 has the least mean.
C
Set 3 contains an outlier.
D
Sets 1 and 2 have an odd number of values.

Explanation

Mean absolute deviation describes how spread out the data values are from their mean. Sets 1 and 2 each contain a value far from the rest: 88 in set 1 and 63 in set 2. Those outliers increase the spread, while set 3’s values are comparatively close together, so the statement that sets 1 and 2 contain outliers explains why set 3 has the least mean absolute deviation.

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