The values for three different sets of data are shown below.Data Data SetValues152, 55, 59, 53, 50240, 49, 43, 42, 90, 38324, 30, 26, 31, 40, 26Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Answer
A
Sets 2 and 3 have an even number of values.
B
Set 1 has the least number of values.
C
Sets 2 and 3 contain outliers.
D
Set 1 contains an outlier.
Explanation
Data set 1’s values are all close together, from 50 to 59. Set 2 has 90, far from its other values, and set 3 has 40, far from its other values. These outliers increase the average distance from the mean, so sets 2 and 3 have greater mean absolute deviation than set 1. The correct choice is “Sets 2 and 3 contain outliers.”
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