12.2 Frequency Distributions and Statistical Graphs 783 a) How many students were surveyed? 31 b) What are the lower and upper class limits of the first and second classes? 625–675, 676–726 c) How many students have an annual car insurance premium in the class with a class mark of $752? 6 d) What is the class mark of the modal class? $803 e) Construct a frequency distribution from this histogram. Use a first class of 625– 675. * 39. E-mail Messages Use the frequency polygon below to answer the following questions. Number of People Number of E-mail Messages Sent per Day Number of Messages Sent 1 8 7 6 5 4 3 2 3 4 5 6 7 8 9 10 a) How many people sent five e-mail messages? 7 b) How many people sent six or fewer e-mail messages? 16 c) How many people were included in the survey? 36 d) Construct a frequency distribution from the frequency polygon. * e) Construct a histogram from the frequency distribution in part (d). * 40. San Diego Zoo Use the frequency polygon below to answer the following questions. Number of Families Number of Visits Selected Families Have Made to the San Diego Zoo Number of Visits to San Diego Zoo 1 1 11 10 9 8 7 6 5 4 3 2 2345678910 a) How many families visited the San Diego Zoo four times? 8 b) How many families visited the San Diego Zoo at least six times? 24 c) How many families were surveyed? 52 d) Construct a frequency distribution from the frequency polygon. * e) Construct a histogram from the frequency distribution in part (d). * 41. College Costs The 2023–2024 cost for Iowa residents to attend the University of Iowa was $28,596. The circle graph below shows the percentage of the cost for tuition, books/supplies, room/board, and other expenses. Determine the cost, in dollars for each category. Round your answers to the nearest dollar. Tuition: $10,981, Room/Board: $12,611, Books/supplies: $944, Other: $4061 Books/supplies 3.30% Source: UIowa.edu Other 14.20% Tuition 38.40% Room/Board 44.10% Cost to Attend the University of Iowa for 2023–2024 42. Automobile Accessories A sample of 600 people were asked which one automobile accessory they would most prefer to have on a family road trip. The following circle graph shows the percentage of respondents that answered laptop tray, USB charger, blind spot mirror, magnetic phone mount, and other. Determine the number of respondents for each category. * Other 21% Laptop tray 29% USB charger 27% Blind spot mirror 15% Magnetic phone mount 8% Automobile Accessories for a Family Road Trip Challenge Problems/Group Activities 43. a) Birthdays What do you believe a histogram of the months in which the students in your mathematics class were born (January is month 1 and December is month 12) would look like? Explain. Answers will vary. b) By asking, determine the month in which the students in your class were born (include yourself). Answers will vary. $ *See Instructor Answer Appendix
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