Interpreting sequential profiling data via animated box-and-whisker plots
Box & Whisker Plots
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Transcript of Box & Whisker Plots
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
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.
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
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Box & Whisker PlotUse the Atlanta Hawks Roster to make a Box & Whisker Plot.
Box & Whisker PlotUse the Atlanta Hawks Roster to make a Box & Whisker Plot.
Player weight
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
Box & Whisker PlotFind the median of the data.
175 181 218212192 215 225 250247225 255 260 275240237
This divides the data in half!
Box & Whisker PlotFind the median of the lower half.
This is the lower quartile (LQ)!
175 181 218212192 215 225 250247225 255 260 275240237
Box & Whisker PlotFind the median of the upper half.
This is the upper quartile (UQ)!
175 181 218212192 215 225 250247225 255 260 275240237
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
Box & Whisker PlotNow, use the data to make a box and whisker plot.