8
AssignmentMultiple Choice

Mean Absolute Deviation

Question 8 • High School Math 2 A

Without calculating any statistics, Gabriel knew that data Set 3 would have the lowest mean absolute deviation among the three sets. How does he know?

Answer
A
Because Set 3 has the lowest mean.
B
Because Set 3 had the least amount of data points.
C
Because Set 1 and Set 2 contain outliers.
D
Because Set 1 and Set 2 have an odd number of data points.

Explanation

Mean absolute deviation measures how far the data values are from their mean, on average. Outliers in Set 1 and Set 2 tend to make those distances larger, so Set 3 would have the lowest mean absolute deviation. A lower mean or fewer data points alone does not imply a lower mean absolute deviation.

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