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Mean Absolute Deviation Worksheet

Grade 12 Math worksheet focusing on calculating and interpreting Mean Absolute Deviation (MAD) for data sets.

Grade 12 Math Probability and StatisticsMean Average Deviation
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Includes

4 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.HSS-ID.A.3

Topics

MathStatisticsMean Absolute DeviationData AnalysisGrade 12
9 sections · Free to use · Printable
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Mean Absolute Deviation (MAD) Worksheet

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Read each question carefully and show all your work. Calculate the Mean Absolute Deviation (MAD) for each data set where required and interpret its meaning.

1. In your own words, explain what Mean Absolute Deviation (MAD) measures and why it is a useful statistic.

2. The first step in calculating MAD is to find the   of the data set.

3. MAD is a measure of   variability.

4. Calculate the Mean Absolute Deviation for the following data set: {10, 12, 15, 18, 20}.

5. A student scored the following on their last five math tests: 75, 80, 85, 90, 95. Calculate the MAD for these scores.

6. If a data set has a MAD of 0, what does this imply about the data points?

a

All data points are different.

b

All data points are identical.

c

The mean of the data set is 0.

d

The data set has no outliers.

7. A higher Mean Absolute Deviation indicates that the data points are more spread out from the mean.

T

True

F

False

8. Consider two data sets: Set A: {5, 6, 7, 8, 9} Set B: {1, 5, 7, 9, 13} Without calculating, which set do you expect to have a higher Mean Absolute Deviation and why?