Day 4 mean absolute deviation

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Day 4 Mean Absolute Deviation.notebook 1 March 08, 2013 Do Now AIM: Mean Absolute Deviation

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Transcript of Day 4 mean absolute deviation

Page 1: Day 4 mean absolute deviation

Day 4 Mean Absolute Deviation.notebook

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Do NowAIM: Mean Absolute Deviation

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Anticipatory Set

Prudential Commerical

1.) How did they create their dot plot?

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1. Explore: Analyzing Dot PlotsThe school nurse measured all the boys' heights during their physical education class. She made a list of the basketball players' heights and the soccer players' heights.

Basketball Players' Heights (in.)

69, 70, 72, 73, 73, 73, 74, 75, 75, 76

Soccer Players' Heights (in.)

65, 66, 68, 69, 69, 70, 70, 70, 71, 72

A. Make a dot plot of the heights of the basketball players.

62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

B. Make a dot plot of the heights of the soccer players.

62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

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REFLECT1.) What can you conclude about the data based on your plots?

The data sets have a similar ___________, but the basketball data are ________ to the right.

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A. Calculate the mean height for the basketball players.69 + 70 +72+ 73 + 73 + 73 + 74 + 75+ 75 + 76 =

B. Calculate the MAD for the basketball players.

69 - 73 = 73 - 73 =

70 - 73 = 74 - 73 =

72 - 73 = 75 - 73 =

73 - 73 = 75 - 73 =

73 - 73 = 76 - 73 =

Find the mean of the absolute values.

The MAD is ___________

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A. Calculate the mean height for the soccer players.65 + 66 + 68 + 69 + 69 + 70 + 70 + 70+ 71 + 72 =

B. Calculate the MAD for the soccer players.

65 - 69 = 70 - 69 =

66 - 69 = 70 - 69 =

68 - 69 = 70 - 69 =

69 - 69 = 71 - 69 =

69 - 69 = 72 - 69 =

Find the mean of the absolute values.

The MAD is ___________

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E How are the mean and the MAD reflected in the dot plots.

F Find the difference of the means.

G Write the difference of means as a multiple of the MAD.

4 = 1.6 X ___

The means of the two data sets differ by ____ times the amount that an individual height varies.

REFLECT2. If two data sets have the same mean but different MADs, how would that reflect in the dot plots?

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3 Explore: Comparing Large Populations

Paula and Dean 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.

B. Calculate the MAD for Book 1.

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3 Explore: Comparing Large Populations

Paula and Dean 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

C. Calculate the mean for Book 2.

D. Calculate the MAD for Book 2.

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E What can you infer about each population?

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Homework

On Core Page 148 #1-6 all