Frederick Irving L. Rico III-Radon

18. Math and Reading Achievement Scores the math and reading achievement scores from the National Assessment of Educational Progress for selected states are listed below. Construct a back-to-back stem and leaf plot with the data and compare the distribution.

Math Reading

52 66 69 62 65 76 76 66 61 67 63 57 59 59 71 70 70 55 66 61 55 59 74 72 61 69 78 73 76 77 68 76 73 77 77 80

Stem and leaf plot for Math Stem and leaf plot for Reading

Frequency Stem Leaf Frequency Stem Leaf 7 5 2 5 5 7 9 9 9 7 6 1 1 5 6 6 7 9 0 0 1 6 6 6 7 7 7 6 6 1 2 3 6 8 9 10 7 8 2 3 3 4 5 7 6 1 8 0 18 18

Back to back stem and leaf plot for Math and Reading (figure 1)

Math Reading 9 9 9 5 7 5 5 2 6 1 1 5 6 6 7 9 9 7 0 0 1 6 6 7 7 7 8 6 3 2 1 8 0

6 4 3 3 2 Figure 1 shows the Back-to-back stem and leaf plot of the achievement scores of Math and Reading from the National Assessment of Educational Progress of the selected states. Math has the large variation in the achievement scores. Math also has more achievement scores in the class 50-59. Both distributions are peaked in the class 60-69. Reading has more achievement score in this class.

13. Absences and Final Grades An educator wants to see if there is a relationship between the number of absences a student has and his or her final grade in a course. Draw a scatter plot and comment on the nature of the relationship.

Number of absences, x 10 12 2 0 8 5 Final grade, y 70 65 96 94 75 82

Scatter plot (figure 2)

Figure 2 shows the relationship between the number of absences a student has and his or her final grade in a course using scatter plot method. The pattern is a negative linear relationship because the points fall in a descending order from left to right. The relationship then is that as the number of absences is inversely proportional to the final grade. The highest final grade is 96 with 2 absents, then followed by 94 with 0 absent. The lowest grade is 65 with 12 absents.