# Chapter5 - STA2023 Chapter 5(Understanding Comparing...

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1 STA2023 - Chapter 5 (Understanding & Comparing Distributions) Skip: Timeplots (pg. 98-100) and Re-Expressing Data (pg. 100-103) Activity 1 (data set from page 80, #24 – also used in chapter 4 example): Here are the annual numbers of deaths from tornadoes in the United States from 1990 through 2000. 53 39 39 33 69 30 25 67 130 94 40 From the chapter 4 lesson, we found the 5-number summary to be: Min = 25 Q1 = 33 Q2 = 40 Q3 = 69 Max = 130 Recall also: IQR = Q 3 – Q 1 = The range of the middle 50% of the data values is called the Interquartile Range (IQR). The IQR is an important measurement for two reasons. First, since the IQR ignores extreme data values it is a highly stable measure of the data’s variability. Second, the IQR can be used to numerically determine whether or not a given set of data contains outliers. Rule of Thumb: (see page 90) Any observation that lies more than 1.5 IQR’s below Q1 or above Q3 is called an outlier. Any observation that lies more than 3 IQR’s below Q1 or above Q3 is called an extreme/far outlier. A. Use the IQR rule of thumb to determine if the original data contains any outliers.

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Chapter5 - STA2023 Chapter 5(Understanding Comparing...

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