Exercise 2 Chapter 2: Descriptive statistics 1.Over the past month, Bob's bowling score mean was 182 with a standard deviation of 9.1. His bowling partner Cedric's mean was 152 with a standard deviation of 7.6. Which bowler is more consistent in relative terms?
2. a) Find the coefficient of variation for prices of these three stocks. (b) Which stock has the greatest relative variation? (c) To measure variability, why not just compare the standard deviations?
3. In fuel economy tests in city driving conditions, a hybrid vehicle's mean was 43.2 mpg with a standard deviation of 2.2 mpg. A comparably sized gasoline vehicle's mean was 27.2 mpg with a standard deviation of 1.9 mpg. Which vehicle's mpg was more consistent in relative terms?
4.Scores on an accounting exam ranged from 42 to 96, with quartiles Q1 = 61, Q2 77, and Q3 = 85. (a) Sketch a simple boxplot (5-number summary without fences) using a nicely scaled X-axis. (b) Describe its shape (skewed left, symmetric, skewed right).
5.In 2007, total compensation (in thousands of dollars) for 40 randomly chosen CEOs ranged from 790 to 192,920, with quartiles Q1 = 3,825, Q2 = 8,890, and Q3 = 17,948. (a) Sketch a simple boxplot (5-number summary without fences) using a nicely scaled X-axis. (b) Describe its shape (skewed left, symmetric, skewed right).
