Compute the minimum, lower quartile, upper quartile, and the maximum Box and Whisker Plot Objective Compute the minimum, lower quartile, upper quartile, and the maximum a data set.

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

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

1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14

Median = Lower Quartile = Upper Quartile = Minimum = Maximum = 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Use the given data to make a box-and-whisker plot. Additional Example 2: Making a Box-and-Whisker Plot Use the given data to make a box-and-whisker plot. 21, 25, 15, 13, 17, 19, 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 maximum: 25 lower quartile: = 16 15 + 17 2 upper quartile: = 21 21 + 21 2 median: = 19 19 + 19 2

Use the given data to make a box-and-whisker plot. 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 14 16 18 20 22 24 26 28

Use the given data to make a box-and-whisker plot. 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 14 16 18 20 22 24 26 28

Use the given data to make a box-and-whisker plot. Check It Out! Example 2 Use the given data to make a box-and-whisker plot. 31, 23, 33, 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 maximum: 35 lower quartile: = 25 24 + 26 2 upper quartile: = 32 31 + 33 2 median: = 30 29 + 31 2

Use the given data to make a box-and-whisker plot. 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 24 26 28 30 32 34 36 38

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

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.

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.

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.

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

Check It Out! Example 3A 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 3 6 9 12 15 18 Tampa Bay

Check It Out! Example 3B B. Compare the ranges of the middle half of the data for each. Oakland 0 3 6 9 12 15 18 Tampa Bay The range of the middle half of the data is greater for Tampa Bay.

Lesson Quiz: Part I Find the lower and upper quartiles for each data set. 1. 48, 52, 68, 32, 53, 47, 51 2. 3, 18, 11, 2, 7, 5, 9, 6, 13, 1, 17, 8, 0 lower = 47; upper = 53 lower = 2.5; upper = 12

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. 4. What is the median and range of the data? 78 87 91 94 98 91; 20