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Box-and-Whisker Plots SOL 6.18

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Step 1 – Order Numbers 1. Order the set of numbers from least to greatest

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2. Find the median. The median is the middle number. If the data has two middle numbers, find the mean of the two numbers. What is the median? Step 2 – Find the Median

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3. Find the lower and upper medians or quartiles. These are the middle numbers on each side of the median. What are they? Step 3 – Upper & Lower Quartiles

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Now you are ready to construct the actual box & whisker graph. First you will need to draw an ordinary number line that extends far enough in both directions to include all the numbers in your data: Step 4 – Draw a Number Line

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Locate the main median 12 using a vertical line just above your number line: Step 5 – Draw the Parts

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Locate the lower median 8.5 and the upper median 14 with similar vertical lines: Step 5 – Draw the Parts

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Next, draw a box using the lower and upper median lines as endpoints: Step 5 – Draw the Parts

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Finally, the whiskers extend out to the data's smallest number 5 and largest number 20: Step 5 – Draw the Parts

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Step 6 - Label the Parts of a Box-and- Whisker Plot 123 54 Name the parts of a Box-and-Whisker Plot MedianUpper Quartile Lower Quartile Lower ExtremeUpper Extreme

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Interquartile Range The interquartile range is the difference between the upper quartile and the lower quartile. 14 – 8.5 =5.5

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Box-and-Whisker Plots

Box-and-Whisker Plots

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