Part 2 1. Imagine that you calculated Body Mass Index (BMI) for a group of college students and created the grouped frequency table below: BMI Frequency 40-44.99 35-39.99 30-34.99 6 25-29.99 10 20-24.99 20 15-19.99 3 If you decide to depict this data with a histogram, what would be the midpoint for the highest interval? A. 40 B. 42.49 C. 42.5 D. 44.99 2. If the average of a series of values is 10 and their variance is 4, then the coefficient of variation (= the ratio standard deviation / average) is: A.40% B.20% C.80% D.10% 3. Convert the following male heights (cm) into ranks Male ID 1 2 3 4 5 6 Height 280 303 289 286 289 301 Rank 4. An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers. The list includes 2,500 Ford buyers, 2,500 GM buyers, 2,500 Honda buyers, and 2,500 Toyota buyers. The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand. Is this an example of a simple random sample? (A) Yes, because each buyer in the sample was randomly sampled. (B) Yes, because each buyer in the sample had an equal chance of being sampled. C) Yes, because car buyers of every brand were equally represented in the sample. (D) No, because every possible 400-buyer sample did not have an equal chance of being chosen. (E) No, because the population consisted of purchasers of four different brands of car. 5. A sample consists of four observations: (5, 3, 1, 7). What is the standard deviation? (A) 2 (B) 2.58 (C) 6 (D) 6.673. Convert the following male heights (cm) into ranks Male ID 2 3 4 5 6 Height 280 303 289 286 289 301 Rank 4. An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers. The list includes 2,500 Ford buyers, 2,500 GM buyers, 2,500 Honda buyers, and 2,500 Toyota buyers. The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand. Is this an example of a simple random sample? (A) Yes, because each buyer in the sample was randomly sampled. (B) Yes, because each buyer in the sample had an equal chance of being sampled. C) Yes, because car buyers of every brand were equally represented in the sample. (D) No, because every possible 400-buyer sample did not have an equal chance of being chosen. (E) No, because the population consisted of purchasers of four different brands of car. 5. A sample consists of four observations: (5, 3, 1, 7). What is the standard deviation? (A) 2 (B) 2.58 (C) 6 (D) 6.67 (E) None of the above 6. The stemplot below shows the number of hot dogs eaten by contestants in a recent hot dog eating contest. 8 1 7 6 47 5 226 4 025799 3 5796. The stemplot below shows the number of hot dogs eaten by contestants in a recent hot dog eating contest. 8 1 6 47 5 226 4 025799 3 579 2 79 1 1 Which of the following statements are true? I. The range is 70. Il. The median is 46. Ill. The mean is 47. (A) I only (B) II only (C) Ill only (D) I and II (E) I, II, and Ill 7. Find the mean, median, mode, and range in the following numbers: 20, 8, 15, 9, 8 Mean Median Mode Range 8. Given the following data of length measurements, draw graphs for a histogram and a cumulative frequency distribution below. Class mark (x) Frequency (f) 17.5 19.5 30 21.5 45 23.5 157. Find the mean, median, mode, and range in the following numbers: 20, 8, 15, 9, 8 Mean Median Mode Range 8. Given the following data of length measurements, draw graphs for a histogram and a cumulative frequency distribution below. Class mark (x) Frequency (f) 17.5 5 19.5 30 21.5 45 23.5 15 25.5 10 27.5 5 29.5 Histogram Cumulative frequency distribution
