Mean Absolute Deviation Worksheet
Calculate the Mean Absolute Deviation (MAD) for various data sets, interpret results, and understand its application in statistics.
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Mean Absolute Deviation Practice
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Read each question carefully and show all your work. Calculate the Mean Absolute Deviation (MAD) for each data set as required.
1. Calculate the Mean Absolute Deviation (MAD) for the following data set: {5, 8, 12, 15, 20}
2. The Mean Absolute Deviation measures the average between each data point and the of the data set.
3. A smaller Mean Absolute Deviation indicates that the data points are generally closer to the , meaning the data is more .
4. Two basketball teams, Team A and Team B, have the following scores for their last 5 games: Team A: {78, 82, 75, 85, 80} Team B: {60, 95, 70, 100, 85} If Team A has a MAD of 3.2 and Team B has a MAD of 14, which team's scores are more consistent?
Team A
Team B
Both are equally consistent
Cannot be determined
5. A factory produces light bulbs. A sample of 10 bulbs is tested, and their lifespans (in hours) are recorded as: {980, 1020, 990, 1010, 1000, 970, 1030, 995, 1005, 1015}. Calculate the MAD for this data set.
6. The Mean Absolute Deviation is always a positive value.
True
False