1. A box-and-whisker diagram is a line segment showing the highest and lowest numbers, upper and lower quartiles, and median of a set of data. Box-and-whisker Diagram

2. A quartile is any one of three values that divide the data into four equally sized groups. Quartile

3. The lower quartile is the median for the lower half of the data. Lower Quartile

4. The middle quartile is the median for all of the data. Middle Quartile

5. The upper quartile is the median for the upper half of the data. Upper Quartile

6. Example 1 The following numbers represent the pages read yesterday by the twelve students in the class. Find the lower, middle, and upper quartiles: {16, 51, 29, 35, 70, 29, 40, 44, 39, 30, 50, 46}.

7. = 39.5 16, 29, 29, 30, 35, 39, 40, 44, 46, 50, 51, 70 middle quartile: 39 + 40 2 = 29.5 lower quartile: 29 + 30 2 = 48 upper quartile: 46 + 50 2

8. Construct a box-and-whisker diagram for the data in the last example. 39.5 48 29.5 16 70 Example 2

9. The interquartile range is the difference between the upper and lower quartile. Interquartile Range

10. Construct a box-and-whisker diagram for the following set of data, and calculate the interquartile range: {12, 32, 29, 35, 33, 17, 28, 24, 22, 25, 31}. Construct a box-and-whisker diagram for the following set of data, and calculate the interquartile range: {12, 32, 29, 35, 33, 17, 28, 24, 22, 25, 31}. Example 3

11. 28 12, 17, 22, 24, 25, 28, 29, 31, 32, 33, 35 median: 22 lower quartile: 32 upper quartile: = 10 interquartile range: 32 – 22 28 32 22 12 35

12. Use these data sets for the following problems: A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100}. Use these data sets for the following problems: A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100}. Example

13. Find the median of each. A: 17; B: 36 A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} Example

14. Find the lower quartile of each. A: 15; B: 23.5 A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} Example

15. Find the upper quartile of each. A: 22; B: 39.5 A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} Example

16. Find the interquartile range of each. A: 7; B: 16 A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} A = {13, 14, 16, 17, 17, 18, 22, 22, 25} B = {19, 22, 25, 35, 37, 39, 40, 100} Example

17. Construct a box-and- whisker diagram of A. 17 22 15 13 25 Example

18. Construct a box-and- whisker diagram of B. 36 39.5 23.5 19 100 Example

19. A stem-and-leaf diagram is a type of bar graph in which the data points in each interval are listed in order. Stem-and-leaf Diagram

20. Make a stem-and-leaf diagram for the following set of data, which represents the number of pages read by twelve students: {16, 29, 29, 30, 35, 39, 40, 44, 46, 50, 51, 70}. Make a stem-and-leaf diagram for the following set of data, which represents the number of pages read by twelve students: {16, 29, 29, 30, 35, 39, 40, 44, 46, 50, 51, 70}. Example 4

21. 123457123457 123457123457 699059046010699059046010 699059046010699059046010 Number of Pages Read

22. Make a stem-and-leaf diagram for the following set of data: {120, 125, 129, 129, 134, 138, 143, 143, 149, 149, 156, 159, 161}. Example 5

23. 12 13 14 15 16 05994833996910599483399691 05994833996910599483399691

24. Make a stem-and-leaf diagram for the following set of scores on a fifty-point test: {32, 33, 37, 38, 42, 43, 43, 44, 44, 45, 45, 45, 46, 47, 48, 49, 50, 50, 50}. 345345 345345 2 3 7 8 2 3 3 4 4 5 5 5 6 7 8 9 0 0 0 Example

25. A scatterplot is a graphical representation of the relationship of two variables in the form of ordered pairs of points plotted in a coordinate plane. Scatterplot

26. hh65 63 72 64 70 ww160 145 180 150 220 180 hh64 70 76 71 73 63 ww130 170 180 200 210 150 hh61 66 70 66 68 ww120 145 155 175 160 170

27. Height (in inches) Weight (in pounds) Height vs. Weight

28. Correlation refers to the relationship between the variables in a scatterplot. Correlation can be positive or negative. Correlation

29. Hours/Week of TV 4488 GPA 3.7 3.5 11 10 15 12 20 3.0 2.8 2.7 2.6 18 25 20 15 25 2.4 1.9 1.5 1.3 1.1

30. Hours/Week of TV GPA TV and GPA

31. Construct a scatterplot for the following data, which relates the number of exercise minutes per day (m) to a person’s heart rate (r). What does the graph show? State whether the correlation seems to be positive or negative. Example 6

32. mm5530 15 10 45 12 rr92 75 78 90 70 88 mm40 60 35 20 8825 rr74 68 76 78 76

33. Minutes of Exercise/Day Average Heart Rate Exercise and Heart Rate

34. The scatterplot shows that the heart rate r decreases as one exercises more. The correlation is negative.

35. Alcohol Consumed (in ounces) Reaction Time (in sec) Alcohol Consumption and Reaction Times

36. Years of Education Reported Work Injuries per Year Education and Work Injuries

37. Anxiety Level Achievement Scores Anxiety vs. Achievement