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MAT 142 Summer Session 1 ANSWERS Homework Day #9: Name:______________________ I. Frequency Distributions For problems 1 – 5 use the given frequency distribution. Class 40 – 49 50 – 59 60 – 69 70 – 79 80 – 89 90 – 99 Frequency 6 5 2 7 8 3 1. What is the total number of observations? 2. What is the width of each class? 10 3. What is the midpoint of the third class? 4. What is the modal class(es)? 31 64.5 80 – 89 5. What would be the class limits of the next class IF an additional class were added to the frequency distribution? 100 – 109 For problems 6 – 8 use the following data which show the IQ scores of 50 GCC Freshmen. 80 89 92 95 97 100 102 106 81 89 93 95 98 100 103 108 87 90 94 97 99 100 103 108 88 91 94 97 100 100 103 108 89 92 94 97 100 101 104 109 6. Construct a frequency distribution with a first class of 78 – 86. IQ # of students 78 – 86 2 87 – 95 15 96 – 104 18 105 – 113 7 114 – 122 6 123 – 131 1 132 – 140 1 7. What is the width of each class? 9 8. What is the modal class(es) of your frequency distribution? 96 – 104 110 113 114 114 119 120 120 122 128 135 II. Statistical Graphs 9. A sample of 500 students who used the internet to book a spring break trip were asked which travel site they used. The responses are summarized in the table below. Use this information to construct a circle graph illustrating the percent of people who gave each response. Be sure to show your work just like I did in class. Online Travel Site Number of Bookings Travelocity 175 Expedia 125 Orbitz 85 Other 115 The frequency distribution below indicates the heights of 45 GCC male students. Height in inches Number of GCC male students 64 2 65 6 66 7 67 9 68 10 69 6 70 3 71 0 72 2 10. Construct a Histogram Height in inches 11. Construct a Frequency Polygon Height in inches 12. Eighteen college students were asked how many college credits they had earned. The responses are organized in the table below. Construct a stem-and-leaf display for this data. 10 42 33 15 53 45 Stem 1 2 3 4 5 6 24 60 48 Leaves 0 4 6 8 3 0 5 4 0 5 4 2 36 17 62 48 24 54 Note: 1 5 45 30 60 represents 15 7 3 2 5 8 0 13. Log on to the internet and navigate to http://www.mcwdn.org/Graphs/CirclePieQuiz.html Take the online quiz and record your answers to the six (6) questions below. 1. 2. 3. 4. 5. 6. Legend Sleep and School Meals and Homework Sleep 8 School 14. Log on to the internet and complete the activity at http://www.wisc-online.com/objects/index_tj.asp?objid=TMH1101 (click the next button at the bottom right of the page to progress through the activity) Copy the result of YOUR stem and leaf plot that the activity asks you to do at the end of the exercise. Stem 2 3 4 5 6 7 Note: 3 2 Leaves 8 2 1 0 0 0 4 3 1 1 8 6 5 2 2 6 9 9 9 3 4 5 7 7 8 3 8 represents 3.2