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Mean Absolute Deviation Worksheet

A Grade 10 math worksheet focusing on calculating and interpreting Mean Absolute Deviation (MAD) for various data sets.

Grade 10 Math Probability and StatisticsMean Absolute Deviation
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4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

MathStatisticsMean Absolute DeviationGrade 10
8 sections · Free to use · Printable
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Mean Absolute Deviation

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Read each question carefully and show all your work. Calculate the Mean Absolute Deviation (MAD) for each data set as requested. Round your answers to two decimal places where necessary.

1. What does Mean Absolute Deviation (MAD) measure, and why is it a useful measure of variability compared to range?

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

3. A student scored the following marks on their last 5 math tests: 78, 85, 92, 88, 77. Calculate the Mean Absolute Deviation (MAD) for these scores.

4. If Data Set A has a MAD of 2.5 and Data Set B has a MAD of 5.0, what can you conclude about the variability of the two data sets?

a

Data Set A is more spread out than Data Set B.

b

Data Set B is more spread out than Data Set A.

c

Both data sets have the same variability.

d

MAD does not measure variability.

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

6. MAD is the average of the   differences between each data point and the mean.

7. Two basketball players, Player X and Player Y, scored the following points in their last 6 games: Player X: 20, 22, 18, 25, 20, 19 Player Y: 15, 30, 10, 25, 20, 20 Which player has more consistent scoring, based on their Mean Absolute Deviation? Show your calculations.