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1342. Note on Ch.2 Organizing Qualitative Data into a Frequency Distribution Problem1: A physical therapist wants to get a sense of the types of rehabilitation required by her patients. She obtains a simple random sample of 30 of her patients and records the body part requiring rehabilitation. (Given in table below) Back Wrist Elbow Back Hip a. b. c. d. Back Hand Neck Knee Back Groin Shoulder Shoulder Back Back Back Back Shoulder Shoulder Knee Knee Knee Hip Hand Back Construct a frequency distribution of location of injury. Frequency bar graph Relative frequency bar graph Construct pie chart. Knee Back Back Back Wrist Organizing Quantitative Data into a Frequency Distribution Problem2: Table below shows Three-Year rate of return of Mutual funds. Construct a frequency table with 8 classes. Add relative frequency to the table. Construct a histogram for the table. 13.50 14.47 14.14 13.51 15.70 13.16 12.29 12.77 15.44 13.28 10.53 13.92 19.74 15.10 23.76 14.74 16.16 12.76 17.13 22.68 13.20 12.07 13.34 12.37 14.81 1 12.24 10.99 11.32 16.34 23.54 12.61 15.07 15.41 11.34 19.65 19.11 10.06 17.37 10.57 14.07 Problem3. The following data represent glucose levels (mg/100ml) after a 12hour fast for a random sample of 70 women. Make stem and leaf for these data. Also construct a frequency table with six classes. 45 66 83 71 76 64 59 59 76 82 80 81 85 77 82 90 78 72 79 69 83 71 87 69 81 76 96 83 67 94 101 94 89 94 73 99 93 85 83 80 78 80 85 83 84 74 81 70 65 89 70 80 84 77 65 46 80 70 75 45 101 71 109 73 73 80 72 81 63 74 2 Problem4. The following data represent the percentage of people without health insurance for 50 states and the District of Columbia in 2006. (a) Construct a frequency distribution. (b) Construct a relative frequency distribution. (c) Construct a frequency histogram of the data. (d) Construct a relative frequency histogram of the data. (e) Describe the shape of the distribution. (f) Repeat parts (a)-(e) using a class width of 1. 15.2 9.4 15.4 21.9 20.8 15.5 18.9 13.7 13.5 16.5 12.1 14.0 9.3 13.3 22.9 17.9 24.5 8.8 20.9 11.6 11.8 13.8 17.1 14.0 10.0 17.4 14.6 18.9 21.2 10.5 12.3 17.9 8.6 12.2 18.8 17.7 12.3 10.5 19.6 12.2 15.9 13.3 3 17.2 8.9 15.6 9.2 11.5 10.1 11.8 11.8 Problem4. The following data represent the change in housing price index from the third quarter of 2002 to the third quarter of 2007 for a random sample of 40 U.S. cities. 12.27 39.65 36.34 36.92 14.26 94.41 73.57 18.57 18.82 40.33 87.23 15.91 17.78 63.45 71.77 38.74 13.50 113.82 72.54 24.22 24.11 81.15 29.15 81.40 42.22 55.69 27.83 91.92 41.02 56.90 76.02 19.31 77.96 20.18 42.02 29.04 25.88 41.23 26.08 30.97 (a) Round each observation to the nearest whole percent and draw a stem-and-leaf plot. (b) Describe the shape of the distribution. 4