Module 9.2 Data Distributions And Outliers

Module 9.2

Data Distributions And Outliers

What statistics are most affected by outliers? What shapes can data distributions have?

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A Dot Plot is a data representation that uses a number line and Xs, dots, or other symbols to show frequency.

Twelve employees at a small company make the following annual salaries (in thousands of dollars): 25, 30, 35, 35, 35, 40, 40, 40, 45, 45, 50, and 60.

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25, 30, 35, 35, 35, 40, 40, 40, 45, 45, 50, 60, 150

(35+35)/2 = 35

Median

(45+50)/2 = 47.5

IQR = 47.5 ? 35 = 12.5 MagicNumber = 1.5*IQR = 1.5*12.5 = 18.75

Is the extreme value of 150 an Outlier?

150 >? + MagicNumber 150 >? 47.5 + 18.75 150 >? 66.25 Yes ? So 150 is an Outlier. In fact, everything above 66.25 is an Outlier.

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