1. Holt CA Course 1 11-3Box-and-Whisker Plots Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview

2. Holt CA Course 1 11-3Box-and-Whisker Plots Warm Up 1. Order the test scores from least to greatest: 89, 93, 79, 87, 91, 88, 92. 2. Find the median of the test scores. Find the difference. 79, 87, 88, 89, 91, 92, 93 89 16.1 166.9 0.8 3.4 3. 17 – 0.9 4. 8.4 – 7. 6 5. 9.1 – 5.7 6. 190.3 – 23.4

3. Holt CA Course 1 11-3Box-and-Whisker Plots SDAP1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data. SDAP1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set. California Standards

4. Holt CA Course 1 11-3Box-and-Whisker Plots Vocabulary lower quartile upper quartile box-and-whisker plot minimum maximum

5. Holt CA Course 1 11-3Box-and-Whisker Plots Litter Size23456 Number of Litters 168111 The table below summarizes a cat breeder’s records for kitten litters born in a given year. You can divide the data into four equal part using quartiles.

6. Holt CA Course 1 11-3Box-and-Whisker Plots Kitten Data 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 Lower halfUpper half Lower quartile: 3 median of lower half Upper quartile: 5 median of upper half Median: 4 You know that the median of a data set divides the data into a lower half and an upper half. The median of the lower half is the lower quartile, and the median of the upper half is the upper quartile.

7. Holt CA Course 1 11-3Box-and-Whisker Plots Find the lower and upper quartiles for the data set. Additional Example 1: Finding Quartiles A. 15, 83, 75, 12, 19, 74, 21 12 15 19 21 74 75 83 Order the values. lower quartile: 15 upper quartile: 75

8. Holt CA Course 1 11-3Box-and-Whisker Plots Find the lower and upper quartiles for the data set. Additional Example 1: Finding Quartiles B. 75, 61, 88, 79, 79, 99, 63, 77 61 63 75 77 79 79 88 99 lower quartile: = 69 63 + 75 2 upper quartile: = 83.5 79 + 88 2 Order the values.

9. Holt CA Course 1 11-3Box-and-Whisker Plots Find the lower and upper quartiles for the data set. Check It Out! Example 1 A. 25, 38, 66, 19, 91, 47, 13 13 19 25 38 47 66 91 Order the values. lower quartile: 19 upper quartile: 66

10. Holt CA Course 1 11-3Box-and-Whisker Plots B. 45, 31, 59, 49, 49, 69, 33, 47 31 33 45 47 49 49 59 69 Order the values. Find the lower and upper quartiles for the data set. Check It Out! Example 1 lower quartile: = 39 33 + 45 2 upper quartile: = 54 49 + 59 2

11. Holt CA Course 1 11-3Box-and-Whisker Plots 1 2 3 4 5 6 7 8 9 A box-and-whisker plot shows the distribution of data. The middle half of the data is represented by a “box” with a vertical line at the median. The lower fourth and upper fourth quarters are represented by “whiskers” that extend to the minimum (least) and maximum (greatest) values. Lower quartileUpper quartile Median

12. Holt CA Course 1 11-3Box-and-Whisker Plots Use the given data to make a box-and-whisker plot. 21, 25, 15, 13, 17, 19, 19, 21 Additional Example 2: Making a Box-and-Whisker Plot 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

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

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

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

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

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

18. Holt CA Course 1 11-3Box-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.

19. Holt CA Course 1 11-3Box-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.

20. Holt CA Course 1 11-3Box-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.

21. Holt CA Course 1 11-3Box-and-Whisker Plots Check It Out! Example 3 Quarter 1234 Oakland 30612 Tampa Bay 31714 These box-and-whisker plots compare the point per quarter at Super Bowl XXXVII. Oakland 0 3 6 9 12 15 18 Tampa Bay 0 3 6 9 12 15 18

22. Holt CA Course 1 11-3Box-and-Whisker Plots A. Compare the medians and ranges. Check It Out! Example 3A 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 0 3 6 9 12 15 18

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

24. Holt CA Course 1 11-3Box-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 2. 3, 18, 11, 2, 7, 5, 9, 6, 13, 1, 17, 8, 0 lower = 2.5; upper = 12 lower = 47; upper = 53

25. Holt CA Course 1 11-3Box-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. 4. What is the median and range of the data? 91; 20 78 87 91 94 98