Mean Absolute Deviation Worksheet
A Grade 12 Math worksheet focusing on understanding and calculating Mean Absolute Deviation (MAD) for various data sets.
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Mean Absolute Deviation Worksheet
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Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. Define Mean Absolute Deviation (MAD) in your own words. Why is it a useful measure of variability compared to range or variance?
2. Calculate the Mean Absolute Deviation for the following data set: {5, 8, 10, 12, 15}
Step 1: Find the mean of the data set. Mean =
Step 2: Find the absolute deviation of each data point from the mean:
|5 - Mean| =
|8 - Mean| =
|10 - Mean| =
|12 - Mean| =
|15 - Mean| =
Step 3: Find the average of these absolute deviations. MAD =
3. A teacher calculated the MAD for two of her classes on a recent test. Class A had a MAD of 3.5, and Class B had a MAD of 7.2. What does this indicate about the test scores in the two classes?
Class A performed better on the test.
Class B performed better on the test.
Scores in Class A were more consistent.
Scores in Class B were more consistent.
4. A basketball player's points in the last 7 games were: 18, 22, 15, 20, 25, 18, 20. Calculate the Mean Absolute Deviation for her points. Explain what this MAD value tells you about her performance.
5. A data set with a Mean Absolute Deviation of 0 indicates that all the data points are identical.
True
False
6. Consider two investment portfolios. Portfolio X has returns of {8%, 10%, 7%, 12%, 9%} over five years, and Portfolio Y has returns of {5%, 15%, 8%, 10%, 12%} over the same period.
a) Calculate the Mean Absolute Deviation for each portfolio.
b) Which portfolio has more consistent returns based on MAD? Justify your answer.