Chapter Test 121 Chapter Test 2 Take this test as you would take a test in class. 1. The overall averages of 12 students in a statistics class prior to taking the final exam are listed. 67 72 88 73 99 85 81 87 63 94 68 87 (a) Find the mean, median, and mode of the data set. Which best represents the center of the data? (b) Find the range, variance, and standard deviation of the sample data set. (c) Find the coefficient of variation of the data set. (d) Display the data in a stem-and-leaf plot. Use one line per stem. 2. The data set represents the number of movies that a sample of 20 people watched in a year. 121 148 94 142 170 88 221 106 18 67 149 28 60 101 134 168 92 154 53 66 (a) Construct a frequency distribution for the data set using six classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies. (b) Display the data using a frequency histogram and a frequency polygon on the same axes. (c) Display the data using a relative frequency histogram. (d) Describe the shape of the distribution as symmetric, uniform, skewed left, skewed right, or none of these. (e) Display the data using an ogive. 3. Use frequency distribution formulas to estimate the sample mean and the sample standard deviation of the data set in Exercise 2. 4. For the data set in Exercise 2, find the percentile that corresponds to 149 movies watched in a year. 5. The table lists the number of albums by The Beatles that received sales certifications. Display the data using (a) a pie chart and (b) a Pareto chart. (Source: Recording Industry Association of America) 6. The number of minutes it took 12 students in a statistics class to complete the final exam are listed. Use a scatter plot to display this data set and the data set in Exercise 1. The data sets are in the same order. Describe any patterns. 61 85 67 48 54 61 59 80 67 55 88 84 7. The data set represents the ages of 15 college professors. 46 51 60 58 37 65 40 55 30 68 28 62 56 42 59 (a) Display the data in a box-and-whisker plot. (b) About what percent of the professors are over the age of 40? 8. The mean gestational length of a sample of 208 horses is 343.7 days, with a standard deviation of 10.4 days. The data set has a bell-shaped distribution. (a) Estimate the number of gestational lengths between 333.3 and 354.1 days. (b) Determine whether a gestational length of 318.4 days is unusual. Certification Number of albums Diamond 6 Multi-Platinum 26 Platinum 42 Gold 48 TABLE FOR EXERCISE 5
RkJQdWJsaXNoZXIy NjM5ODQ=