Analysis of Data and Chance

of Data and Chance MATH 2113 - Analysis of Data and Chance Homework # 2 28 24 23 5. The average number of pupils per teacher in certain states is shown. Due Monday, September 13th 17 20 12 16 21 13 14 19 13 18 18 12 13 26 12 17 18 19 15 21 17 21 19 1. Find the class boundaries, midpoints, and widths for each class. 12 22 26 17 13 16 16 15 16 20 16 14 13 12 15 17 12 a. 51-63 17 17 12 16 14 a. What is the class width for a frequency distribution with 7 classes? b. Construct a frequency distribution for the data using the class width you found in part (a). 2. The following is an incorrectly constructed frequency distribution. Circle the reason(s) why they are wrong. Class Frequency 26-30 30-35 35-40 0 40-44 14-49 a Class width is not uniform c. Class limits overlap b. A class has been omitted. d. All of the above c. Construct a histogram using the frequency distribution from part (b). 3. The following is an incorrectly constructed frequency distribution. Circle the reason(s) why they are wrong. Class Frequency 5-9 9-13 13-17 17-20 20-24 a Class width is not uniform c. Class limits overlap b. A class has been omitted. d. All of the above d Comment on the shape of the distribution. 8. In Pennsylvania the numbers of teacher strikes for the last 14 years are shown. Construct a dotplot for the data. Comment on the graph. 9 13 15 10 14 19 8 8 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 distributions. Math Reading 52 66 69 62 61 76 76 66 67 63 57 62 58 55 72 71 70 66 61 55 59 75 70 73 63 69 79 76 77 68 76 73 77 74 80