Mean Absolute Deviation Worksheet

Calculate and interpret the Mean Absolute Deviation (MAD) for various data sets.

Grade 9 Math Probability and StatisticsMean Absolute Deviation

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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.SP.B.5.C

Topics

mathstatisticsmean absolute deviationgrade 9

7 sections · Free to use · Printable

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Mean Absolute Deviation

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Read each question carefully and calculate the Mean Absolute Deviation (MAD) as required. Show all your work.

1. Find the Mean Absolute Deviation (MAD) for the following data set: 10, 12, 15, 18, 20

2. The Mean Absolute Deviation measures the average distance between each data point and the of the data set. A higher MAD indicates that the data points are more from the mean.

3. Which of the following statements best describes the meaning of a Mean Absolute Deviation of 2.5?

The data points are all exactly 2.5 units from the mean.

The average distance of each data point from the mean is 2.5 units.

The range of the data set is 2.5 units.

The mean of the data set is 2.5.

4. Data Set A: 5, 7, 8, 10, 10 Data Set B: 2, 6, 10, 14, 18 Calculate the MAD for both Data Set A and Data Set B. Which data set has a higher MAD and what does that imply about the spread of the data?

5. A data set with a MAD of 0 indicates that all data points are identical.

True

False