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Box-and-Whisker Plots

Box-and-Whisker Plots. We are learning to…create and analyze Box-and-Whisker plots. Box-and-Whisker Plot Vocabulary. Median – The middle number of a set of data. Upper Quartile – The median of the data values that are greater than the median of the total data set.

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Box-and-Whisker Plots

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  1. Box-and-Whisker Plots We are learning to…create and analyze Box-and-Whisker plots.

  2. Box-and-Whisker Plot Vocabulary • Median – The middle number of a set of data. • Upper Quartile – The median of the data values that are greater than the median of the total data set. • Lower Quartile – The median of the data values that are less than the median of the total data set. • Maximum– The highest number in a set of data • Minimum- The lowest number in a set of data • Range- the difference between the minimum and maximum. • Inter-Quartile Range – the difference between the upper and lower quartile of a set of data

  3. Box-and-Whisker Plot Practice Make a box-and-whisker plot using the following set of data: 19, 18, 9, 4, 15 Step #1: Put the numbers in order from least to greatest: 4, 9, 15, 18, 19 Step #2: Find the median of your data. Step #3: Draw a number line. Step #4: Draw 2 dots- 1 dot above the minimum value of your data and 1 dot above the maximum value of your data. Step #5: Draw a vertical line at the median. Step #6: Find the median of the first half of the data and draw a vertical line. Step #7: Find the median of the second half of the data and draw a vertical line. Step # 8 Draw two horizontal lines to complete your box

  4. Box-and-Whisker Plot Practice There are 12 people are in a Habanera Pepper eating contest who ate the following amount of peppers: 4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18 Put the numbers in order from least to greatest: 0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18 BELOW THE MEDIAN (4.5) ABOVE THE MEDIAN (13.5) Discussion Question: Why are all of the Boxes and Whiskers different sizes?

  5. How to find the: Inter-Quartile Range • Inter-Quartile Range – the difference between the upper and lower quartile of a set of data. • Inter-Quartile Range = Upper Quartile – Lower Quartile Show where you could find the inter-quartile range on the box-and-whisker plot below: INTER-QUARTILE RANGE

  6. Evaluation Questions

  7. Colby graphed some data as shown in this box-and-whisker plot. • The range of the data is 25. • One-half of the data is below 65. • The median of the data is 60. • Three-fourths of the data is below 90. Which statement is true about Colby’s data?

  8. Which of the following is not true about the box-and-whisker plot shown below? • The inter-quartile range is 8 • The upper quartile is -2. • The median of the data is 1. • The lower extreme is -9.

  9. 1. • 2. • 3. • 4. • 5.

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