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Mean Absolute Deviation (MAD)

Mean Absolute Deviation (MAD). Warm Up. 2. 1. 3. Mean Absolute Deviation Formative How do you find the mean absolute deviation of a set of data?

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Mean Absolute Deviation (MAD)

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  1. Mean Absolute Deviation(MAD)

  2. Warm Up 2. 1. 3.

  3. Mean Absolute Deviation Formative • How do you find the mean absolute deviation of a set of data? • 2) Find the mean absolute deviation (MAD) of the height of the following basketball players. (Heights are in inches.): 75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84, 82, 84, 80, 84 • 3) What does the MAD tell us about the heights of the basketball players? 1) Find the mean of the data. 2) Find the absolute value of the difference between each data point and the mean. 3) Find the average of those absolute values. MAD = 2.5 The average distance of each player’s height from the mean height of the players is 2.5 inches. The players are around the same height.

  4. StandardMCC7.SP.2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

  5. Essential Questions How can I describe the variation within a data set? How do I use measures of center and measures of variability to make generalizations about data? How is random sampling used to determine an argument or make a decision?

  6. Vocabulary Measures of Center- Measures of Variability- Absolute Value- mean, median, mode range, interquartile range, mean absolute deviation- the average distance of each data value from the mean. distance from zero

  7. The average distance between each data value from the mean. Mean Absolute Deviation 1. Find the mean. 2. Find the distance between each data value and the mean. That is, find the absolute value of the difference between each data value and the mean. 3. Find the average of those differences. Have you ever heard of the bell curve? That is what MAD is.

  8. ROLLER COASTERS The table on the right shows the maximum speeds of eight roller coasters at an amusement park. • Find the mean absolute deviation of the set of data. • Describe what the mean absolute deviation represents.

  9. Double Trouble

  10. Test Scores Below are test scores from two of my classes 1st Period: 90, 85, 80, 80, 100, 80, 85, 40, 90, 90 3rd Period: 100, 90, 70, 80, 80, 100, 80, 80, 70, 70 • Find the mean absolute deviation for each class. • Make a comparison statement about the mean absolute deviations. 1st MAD = 9.6 3rd MAD = 8.8 The mean absolute deviation for first period is higher which means that the scores are more varied. Looking at the scores, is that true? No. The outlier skewed the MAD.

  11. Salary Comparison

  12. b.

  13. Closing How do you find mean absolute deviation and what is its purpose? • Find the mean. • Find the distance between each data value and the mean. That is, find the absolute value of the difference between each data value and the mean. • Find the average of those differences. • The purpose is to see the spread of the data. The higher the MAD, the more varied the data is.

  14. Homework

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