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Creating Box-and-Whisker Plots: Step-by-Step Guide

This guide provides a comprehensive walkthrough for constructing box-and-whisker plots, a useful tool in data analysis. Follow these 6 steps: 1. Order a set of numbers from least to greatest. 2. Find the median, which indicates the middle number. 3. Identify the lower and upper quartiles. 4. Draw a number line to represent your data range. 5. Mark the median and quartiles with vertical lines, then draw a box using quartile lines as endpoints and extend whiskers to the smallest and largest numbers. 6. Label all parts of the plot, including quartiles and interquartile range.

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Creating Box-and-Whisker Plots: Step-by-Step Guide

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Presentation Transcript

  1. Box-and-Whisker Plots SOL 6.18

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

  3. Step 2 – Find the Median 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?

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

  5. Step 4 – Draw a Number Line 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:

  6. Step 5 – Draw the Parts Locate the main median12 using a vertical line just above your number line:

  7. Step 5 – Draw the Parts Locate the lower median8.5 and the upper median14 with similar vertical lines:

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

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

  10. Step 6 - Label the Parts of a Box-and-Whisker Plot Lower Quartile Median Upper Quartile Lower Extreme 3 1 2 Upper Extreme 4 5 Name the parts of a Box-and-Whisker Plot

  11. 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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