11 3 BoxandWhisker Plots Box and Whisker Plot

11 -3 Box-and-Whisker Plots Box and Whisker Plot Objective Compute the minimum, lower quartile, upper quartile, and the maximum a data set. Holt CA Course 1

11 -3 Box-and-Whisker Plots Steps • • • 1. Numerical Order 2. Find the median 3. Find Lower Quartile (left median) 4. Find Upper Quartile (right median) 5. Draw number line 6. Plot Lower & Upper Quartile, Median, Minimum & Maximum Holt CA Course 1

11 -3 Box-and-Whisker Plots Order numbers 3, 5, 4, 2, 1, 6, 8, 11, 14, 13, 6, 9, 10, 7 • First, order your numbers from least to greatest: 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 Holt CA Course 1

11 -3 Box-and-Whisker Plots 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 Holt CA Course 1

11 -3 Box-and-Whisker Plots Median = Lower Quartile = Upper Quartile = Minimum = Maximum = 1 2 Holt CA Course 1 3 4 5 6 7 8 9 10 11 12 13 14

11 -3 Box-and-Whisker Plots Additional Example 2: Making a Box-and-Whisker Plot Use the given data to make a box-and-whisker plot. 21, 25, 13, 17, 19, 21 Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum. 13 15 17 19 19 21 21 25 minimum: 13 15 + 17 lower quartile: 2 maximum: 25 = 16 upper quartile: median: Holt CA Course 1 19 + 19 2 = 19 21 + 21 2 = 21

11 -3 Box-and-Whisker Plots Additional Example 2 Continued Use the given data to make a box-and-whisker plot. Step 2. Draw a number line and plot a point above each value from Step 1. 13 15 17 19 19 21 21 25 12 Holt CA Course 1 14 16 18 20 22 24 26 28

11 -3 Box-and-Whisker Plots Additional Example 2 Continued Use the given data to make a box-and-whisker plot. Step 3. Draw the box and whiskers. 13 15 17 19 19 21 21 25 12 Holt CA Course 1 14 16 18 20 22 24 26 28

11 -3 Box-and-Whisker Plots Check It Out! Example 2 Use the given data to make a box-and-whisker plot. 31, 23, 35, 26, 24, 31, 29 Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum. 23 24 26 29 31 31 33 35 minimum: 23 lower quartile: maximum: 35 24 + 26 2 = 25 upper quartile: median: 29 + 31 = 30 2 Holt CA Course 1 31 + 33 2 = 32

11 -3 Box-and-Whisker Plots Check It Out! Example 2 Continued Use the given data to make a box-and-whisker plot. Step 2. Draw a number line and plot a point above each value. 23 24 26 29 31 31 33 35 22 Holt CA Course 1 24 26 28 30 32 34 36 38

11 -3 Box-and-Whisker Plots Check It Out! Example 2 Continued Use the given data to make a box-and-whisker plot. Step 3. box and whiskers. 2. Draw the a number line and plot a point above each value. 23 24 26 29 31 31 33 35 22 Holt CA Course 1 24 26 28 30 32 34 36 38

11 -3 Box-and-Whisker Plots Additional Example 3: Comparing Data Sets Using Box-and-Whisker Plots These box-and-whisker plots compare the ages of the first ten U. S. presidents with the ages of the last ten presidents (through George W. Bush) when they took office. Holt CA Course 1

11 -3 Box-and-Whisker Plots Additional Example 3 Continued A. Compare the medians and ranges. The median for the first ten presidents is slightly greater. The range for the last ten presidents is greater. Holt CA Course 1

11 -3 Box-and-Whisker Plots Additional Example 3 Continued B. Compare the ranges of the middle half of the data for each. The range of the middle half of the data is greater for the last ten presidents. Holt CA Course 1

11 -3 Box-and-Whisker Plots Check It Out! Example 3 These box-and-whisker plots compare the point per quarter at Super Bowl XXXVII. 0 Quarter 1 2 3 4 Oakland 3 0 6 12 Tampa Bay 3 17 14 14 Oakland 3 6 9 12 15 18 Tampa Bay 0 Holt CA Course 1 3 6 9 12 15 18

11 -3 Box-and-Whisker Plots Check It Out! Example 3 A A. Compare the medians and ranges. The median for Tampa Bay is significantly greater and the range for Tampa Bay is slightly greater. Oakland 0 6 9 12 15 18 Tampa Bay 0 Holt CA Course 1 3 3 6 9 12 15 18

11 -3 Box-and-Whisker Plots Check It Out! Example 3 B B. Compare the ranges of the middle half of the data for each. Oakland The range of the middle half of the data is greater for 0 3 6 9 12 15 18 Tampa Bay 0 Holt CA Course 1 3 6 9 12 15 18

11 -3 Box-and-Whisker Plots Lesson Quiz: Part I Find the lower and upper quartiles for each data set. 1. 48, 52, 68, 32, 53, 47, 51 lower = 47; upper = 53 2. 3, 18, 11, 2, 7, 5, 9, 6, 13, 1, 17, 8, 0 lower = 2. 5; upper = 12 Holt CA Course 1

11 -3 Box-and-Whisker Plots Lesson Quiz: Part II Use the following data for problems 3 and 4. 91, 87, 98, 93, 89, 78, 94 3. Make a box-and-whisker plot. 78 87 91 94 98 4. What is the median and range of the data? 91; 20 Holt CA Course 1