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Chapter5

# Chapter5 - After finding these fences all the data values...

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Chapter 5 Describing Distributions Numerically

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Boxplot Whenever we have a 5-Number summary, we can display the information in a boxplot. 1. Draw a vertical axis spanning the extent of the data. Draw short horizontal lines at the lower and upper quartiles and at the median. Then, connect them with vertical lines to form a box.
Step 2: Important on Finding Outliers 1. To help us construct the box plot, we draw fences around the main part of the data. We place the upper fence 1.5 IQRs above the upper quartile and the lower fence 1.5 IQRs below the lower quartile. The fences are just for construction and not part of the boxplot display.

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NEED TO KNOW: Finding Outliers We just stated how to find the upper fence and lower fence. Upper Fence = Q3 + (1.5 * IQR) Lower Fence = Q1 – (1.5 * IQR)

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Unformatted text preview: After finding these fences, all the data values have to fit inside these 2 fence values. If any data value(s) falls outside of the 2 fence values, they would be considered as an outlier. Rest of the Steps on Drawing a Boxplot 1. We use the fences to grow whiskers. Draw lines from the ends of the box up and down to the most extreme data values found within the fences. If a data value(s) falls outside one of the fences, we do not connect it with a whisker. 2. Finally, we add the outliers, if any, by displaying it with special symbols. Recall • The 5-Number Summary and the data for the speeds of cars (from Chapter 4) was the following: Max 52 Q3 (Upper Quartile) 31.5 Median 25 Q1 (Lower Quartile) 22.5 Min 18 18 20 22 22 23 23 24 25 26 27 28 35 38 43 52...
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