Mean Absolute Deviation Worksheet
A Grade 12 Math worksheet focusing on understanding and calculating Mean Absolute Deviation (MAD) for various data sets.
Includes
Standards
Topics
Mean Absolute Deviation Worksheet
Name:
Date:
Score:
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.
Related Worksheets
Grade 12 Hypothesis Testing Worksheet
This worksheet covers key concepts in hypothesis testing, including null and alternative hypotheses, p-values, significance levels, and types of errors, suitable for Grade 12 students.
Grade 12 Experimental Probability Worksheet
A Grade 12 math worksheet focusing on experimental probability, including calculating probabilities from observed frequencies and comparing with theoretical probabilities.
Grade 12 Experimental Probability Worksheet
A Grade 12 math worksheet focusing on experimental probability, including calculating probabilities from observed frequencies and comparing with theoretical probabilities.
Grade 12 Math: Frequency Polygons
This worksheet covers the construction and interpretation of frequency polygons for Grade 12 students.
Grade 12 Data Visualization Worksheet
This worksheet covers various data visualization techniques including scatter plots, histograms, and box plots, suitable for Grade 12 students.
Central Limit Theorem Worksheet
Explore the Central Limit Theorem with this Grade 12 worksheet, covering its principle, applications, and problem-solving.
Median of Grouped Data Worksheet
This worksheet helps Grade 12 students understand and calculate the median for grouped data using frequency distribution tables.
Grade 12 Probability and Combinatorics Worksheet
This worksheet covers fundamental concepts in probability and combinatorics, including permutations, combinations, and basic probability calculations, suitable for Grade 12 students.