4
QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 4 • Concepts in Probability and Statistics

The values for three sets of data are shown. Data Set Values 1 42, 48, 50, 88, 49 2 63, 29, 35, 28, 30 4 2, 5, 3, 8 Without 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 have an odd number of values.
B
Set 3 contains an outlier.
C
Sets 1 and 2 contain outliers.
D
Set 3 has the least mean.

Explanation

In data set 1, 88 is far from the other values, which are between 42 and 50. In data set 2, 63 is far from the other values, which are between 28 and 35. These outliers make the values in those sets farther from their means on average, so data set 3 has the least mean absolute deviation. The correct choice is “Sets 1 and 2 contain outliers.”

AI-written and checked against the verified answer.

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