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Chapter 3 Data: Day 4 Video Notes - Mean Absolute Deviation
Goal: Compare data sets by describing the variability as a deviation from the mean. Warm-up activity: Watch the following video: https://www.youtube.com/watch?v=USFY2I9VGNQ. Take notes as you follow. Pause if needed as you take notes. What does it mean to deviate? Define Mean MAD – Mean Absolute Deviation: Example 1– Find and interpret the mean absolute deviation of the data. Data: 1, 2, 2, 2, 4, 4, 4, 5 Steps:
- Find the mean.
- Draw dot plots.
- Find the mean absolute deviation. What is the MAD? Now interpret it: NOW YOU TRY IT! Pause the video, try this problem and then check with the teacher to see if you have the right answer. Then restart the video for example 2.
Find and interpret the mean absolute deviation of the data. Data: 5, 8, 8, 10, 13, 14, 16, 22 Steps:
- Find the mean.
- Draw dot plot. Put the dots on the graph. Then write the deviation right next to the dots.
- Find the mean absolute deviation. What is the MAD? Now interpret it: Example 2– Pitchers Find the mean, median and MAD of the number of runs allowed by each pitcher. Tim Lincecum Runs in 10 games: 0, 0, 0, 2, 4, 4, 5, 6, 6, 8 Mean: Median: MAD: Felix Rodriguez Runs in 10 games: 0, 2, 2, 3, 4, 4, 4, 5, 5, 6 Mean: Median: MAD: What can you conclude about the pitchers?
2 ) Mike and Marla wanted to determine the average word length in two books. They took a random sample of 12 words each and counted the length of each word from each book. Book 1 Word Count 3, 7, 5, 2, 4, 3, 1, 6, 4, 8, 2, 3 Book 2 Word Count 5, 4, 3, 6, 4, 5, 5, 2, 3, 4, 2, 5 A) Calculate the mean for Book 1. Show your work below. B) Calculate the MAD for Book 1. C) Calculate the mean for Book 2. Show your work below. D) Calculate the MAD for Book 2. E) What can you infer about the word length from each book?
- Ryane wants to know how many people live in each household in her town. She conducts two random surveys of 10 people each and asks how many people live in their home. Her results are listed below. Sample A: 1, 6, 2, 4, 4, 3, 5, 5, 2, 8 Sample B: 3, 4, 5, 4, 3, 2, 4, 5, 4, 4 A) Make a dot plot for Sample A. B) Make a dot plot for Sample B. C) Find the mean and MAD for Sample A. D) Find the mean and MAD for Sample B. Mean: Mean: MAD: MAD: E) What can you infer about the population based on Sample A? Explain. F) What can you infer about the population based on Sample B? Explain.
