Mean Absolute Deviation Answers

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?

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 12, 8, 10, 50Set 2: 13, 9, 8

The dot plot below shows 4 data points with a mean of 6.What is the absolute deviation at 2?

Which box plot represents a set of data that has the least mean absolute deviation?

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?Set 1: 5, 10, 7, 2Set 2: 5, 10, 7, 42

Which data set is the most clustered around its mean?

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

The dot plot below shows 6 data points with a mean of 16.What is the absolute deviation at 19?

Stefano calculated the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24. His work is shown below.Step 1: Find the mean. Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2Step 3: Find the mean absolute deviation. What is Stefano’s error?

Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean absolute deviation for the number of hours students volunteered? Round to the nearest tenth.