Box & Whisker Plots

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Box & Whisker Plots Statistics Unit

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Box & Whisker Plots. Statistics Unit. Box & Whisker Plot. Gives a visual summary of a set of data using a 5 number summary and outliers. 5 number summary: Min Max UQ LQ Median. 1-6. Box-and-Whisker Plots. - PowerPoint PPT Presentation

Transcript of Box & Whisker Plots

Page 1: Box & Whisker Plots

Box & Whisker Plots

Statistics Unit

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Box & Whisker Plot Gives a visual summary of a set of data

using a 5 number summary and outliers. 5 number summary:

Min Max UQ LQ Median

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Use the box-and-whisker plot of students enrolled in craft classes to answer each question.

Additional Example 1: Reading a Box-and-Whisker Plot

Course 2

1-6 Box-and-Whisker Plots

A. What is the largest class size?The largest data value is represented by the upper extreme on the box-and whisker plot. This value is 25.

B. What is the range of the class sizes?The range is the difference between the lower extreme

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

and the upper extreme: 25 – 10 = 15.C. About what fraction of the values are greater than 20?

One of the four parts of the box-and-whisker plot falls above 20. This means about one-fourth of the values are greater than 20.

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Use the box-and-whisker plot of the amount of money spent on a pair of shoes to answer each question.

Try This: Example 1

Course 2

1-6 Box-and-Whisker Plots

A. What was the highest amount of money spent on a pair of shoes? 41

B. What is the range of shoe prices?The range is the difference between the lower extreme

26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

and the upper extreme: 41 – 27 = 14.C. What fraction of shoes cost more than $35? 1

2

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Box & Whisker PlotUse the Atlanta Hawks Roster to make a Box & Whisker Plot.

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Box & Whisker PlotUse the Atlanta Hawks Roster to make a Box & Whisker Plot.

Player weight

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Box & Whisker PlotTo make a box plot, organize the data arranging the data in order least to greatest.

175 181 218212192 215 225 250247225 255 260 275240237

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Box & Whisker PlotFind the median of the data.

175 181 218212192 215 225 250247225 255 260 275240237

This divides the data in half!

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Box & Whisker PlotFind the median of the lower half.

This is the lower quartile (LQ)!

175 181 218212192 215 225 250247225 255 260 275240237

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Box & Whisker PlotFind the median of the upper half.

This is the upper quartile (UQ)!

175 181 218212192 215 225 250247225 255 260 275240237

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Box & Whisker PlotNext, find the lower (min) and upper (max) extremes. This simply means the lowest data, 175, and the highest data, 275.Let’s organize all 5 pieces of data together so we can see them.

175 181 218212192 215 225 250247225 255 260 275240237

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Box & Whisker PlotNow, use the data to make a box and whisker plot.