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Homework Questions

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Quiz! Shhh…. Once you are finished you can work on the warm- up (grab a handout)!

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Section 1.3 Numerical Summaries of Distributions (Quantitative)

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Numerical Summaries A numerical summary of a distribution should report at least its center, and spread, or variability. A statistic is resistant if it is relatively unaffected by extreme observations.

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The Mean

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The Median Median (M) being the midpoint of the data set is a resistant measure of center. We just count to the middle value (averaging the two middle values if there is an even number within the data set). Example: 5 10 10 10 10 12 15 20 20 25 30 30 40 40 60 Example: 10 30 5 25 40 20 10 15 30 20 15 20 85 15 65 15 60 60 40 45

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Comparing Mean & Median For a symmetric distribution, the mean and median are equal

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Comparing Mean & Median For a distribution skewed to the right, the mean is to the right of the median

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Comparing Mean & Median For a distribution skewed to the left, the mean is to the left of the median.

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Interquartile Range

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Find the IQR and the 5 Number Summary Five Number Summary – o Minimum, Q 1, Median, Q 3, Maximum 1, 3, 3, 4, 5, 6, 6, 7, 8, 8

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Box Plot You can use the 5 Number Summary to create a box plot of the data.

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Your turn… Find the 5 number summary, IQR, and create a box plot of the data 85, 91, 99, 101, 105, 109, 111, 119, 125

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Outliers If an observation falls outside of 1.5 x IQR, then it is an outlier. For example, 85, 91, 99, 101, 105, 109, 111, 119, 125 IQR was _________ 1.5 x IQR = Do we have any outliers?

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Homework Pg. 70 (80, 82-88, 90-96)

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