Survey of Mathematics

12.2 Frequency Distributions and Statistical Graphs 781 can be used to compare a state to the national average and to other states. State Cost of Living State Cost of Living AK 124.4 MT 103.7 AL 88.8 NC 96.1 AR 90.3 ND 94.6 AZ 107.2 NE 90.1 CA 134.5 NH 115.0 CO 105.5 NJ 114.1 CT 113.1 NM 94.2 DE 102.6 NV 101.3 FL 102.3 NY 125.1 GA 91.0 OH 94.0 HI 179.0 OK 86.0 IA 89.7 OR 115.1 ID 106.1 PA 99.9 IL 90.8 RI 110.5 IN 91.5 SC 96.5 KS 87.7 SD 93.8 KY 93.8 TN 90.4 LA 92.0 TX 93.0 MA 148.4 UT 101.5 MD 119.5 VA 103.1 ME 111.5 VT 114.9 MI 92.7 WA 115.1 MN 94.1 WI 95.0 MO 88.4 WV 90.3 MS 85.3 WY 92.8 Source: BLS.gov Use these data to construct a frequency distribution with a first class of 21. 80.0–94.9* 22. 80.0–99.9* 23. 85.3–100.2* 24. 85.3–105.2* 25. Movies The following table shows the ticket sales of the 15 highest-grossing movies in the United States, in millions of dollars, in 2022. $ $ $ $ Movie Ticket Sales (millions of dollars) Black Adam 168 Elvis 151 Uncharted 149 Nope 123 Lightyear 118 Source: BoxOfficeMojo.com a) Construct a frequency distribution with a first class of 118–227 * b) Construct a histogram. * 26. Volunteers The ages of 44 volunteers at a food pantry are as follows. 57 57 49 52 50 42 54 55 64 61 61 64 56 47 51 51 56 46 57 54 50 46 55 56 60 61 54 57 68 48 54 55 55 62 52 47 58 51 65 49 54 51 43 69 a) Construct a frequency distribution with a first class of 42– 47.* b) Construct a histogram. * 27. Construct a frequency polygon of the frequency distribution in Exercise 25. * 28. Construct a frequency polygon of the frequency distribution in Exercise 26. * 29. Jogging Distances Twenty members of a health club who jog were asked how many miles they jog per week. The responses are as follows. Construct a stem-and-leaf display. For single digit data, use a stem of 0. 1215 4 7122521 3318 6 8274022 19 13 23 34 17 16 Adam Gault/DigitalVision/Getty Images Movie Ticket Sales (millions of dollars) Top Gun: Maverick 719 Avatar: The Way of Water 684 Black Panther: Wakanda Forever 453 Doctor Strange in the Multiverse of Madness 411 Jurassic World: Dominion 377 Minions: The Rise of Gru 370 The Batman 369 Thor: Love and Thunder 343 Sonic the Hedgehog 2 191 Puss in Boots: The Last Wish 186 1 a 2 represents 12 0 4 6 7 8 1 2 2 3 5 6 7 8 9 2 1 2 3 5 7 3 3 4 4 0 *See Instructor Answer Appendix

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