Learn to display and analyze data in box-and-whisker plots. Course 2 7-5 Box-and-Whisker Plots.

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Learn to display and analyze data in box-and-whisker plots. Course Box-and-Whisker Plots

Vocabulary box-and-whisker plot lower quartile upper quartile interquartile range Course Box-and-Whisker Plots

Course Box-and-Whisker Plots A box-and-whisker plot uses a number line to show the distribution of a set of data. It is constructed from the five number summary of the data. Minimum value: the smallest piece of data (least) Maximum value: the largest piece of data (greatest) Median: the middle number of the data set when it is arranged in order from least to greatest Lower Quartile: The median of the data values below the median. Upper Quartile: The median of the data values above the median

Course Box-and-Whisker Plots Minimum Value Lower Quartile MedianUpper Quartile Maximum Value

Use the data to make a box-and-whisker plot. Additional Example 1: Making a Box-and-Whisker Plot Course Box-and-Whisker Plots Step 1: Order the data from least to greatest. Then find the least and greatest values, the median, and the lower and upper quartiles. The least value. The greatest value Find the median =74

Additional Example 1 Continued Course Box-and-Whisker Plots lower quartile = = 68 upper quartile = = 78 Step 1 Continued

Additional Example 1 Continued Course Box-and-Whisker Plots Step 2: Draw a number line Above the number line, plot points for each value in Step 1. Step 3: Draw a box from the lower to the upper quartile. Inside the box, draw a vertical line through the median. Then draw the “whiskers” from the box to the least and greatest values.

Check It Out: Example 1 Course Box-and-Whisker Plots Use the data to make a box-and-whisker plot The least value. The greatest value. The median. The upper and lower quartiles Step 1: Order the data from least to greatest. Then find the least and greatest values, the median, and the lower and upper quartiles.

Check It Out: Example 1 Continued Course Box-and-Whisker Plots Step 2: Draw a number line Above the number line, plot a point for each value in Step 1. Step 3: Draw a box from the lower to the upper quartile. Inside the box, draw a vertical line through the median. Then draw the “whiskers” from the box to the least and greatest values.

Use the box-and-whisker plots below to answer each question. Additional Example 2A: Comparing Box-and- Whisker Plot Course Box-and-Whisker Plots Which set of heights of players has a greater median? The median height of basketball players, about 74 inches, is greater than the median height of baseball players, about 70 inches t Heights of Basketball and Baseball Players (in.) Basketball Players Baseball Players

Use the box-and-whisker plots below to answer each question. Additional Example 2B: Comparing Box-and- Whisker Plot Course Box-and-Whisker Plots Which players have a greater interquartile range? The basketball players have a longer box, so they have a greater interquartile range t Heights of Basketball and Baseball Players (in.) Basketball Players Baseball Players

Lesson Quiz: Part I Use the data for Questions , 20, 18, 25, 22, 32, 30, 29, 35, 30, 28, 24, Create a box-and-whisker plot for the data. 2. What is the range? 3. What is the 3rd quartile? Course Box-and-Whisker Plots