8. Chapter 1, Problem 1.1 Aa Aa A survey taken in a large statistics class at Pe

Question

8. Chapter 1, Problem 1.1 Aa Aa A survey taken in a large statistics class at Penn State University contained the question "What's the fastest you have ever driven a car? who responded miles per hour (mph)." The following data was provided by the 87 males and 102 females Males: 110 109 90 140 105 150 120 110 110 90 115 95 145 140 110 105 85 95 100 115 124 95 100 125 140 85 120 115 105 125 102 85 120 110 120 115 94 125 80 85 140 120 92 130 125 110 90 110 110 95 95 110 105 80 100 110 130 105 105 120 90 100 105 100 120 100 100 80 100 120 105 60 125 120 100 115 95 110 101 80 112 120 110 115 125 55 90 Females: 80 75 83 80 100 100 90 75 95 85 90 85 90 90 120 85 100 120 75 85 80 70 85 110 85 75 105 95 75 70 90 70 82 85 100 90 75 90 110 80 80 110 110 95 75 130 95 110 110 80 90 105 90 110 75 100 90 110 85 90 80 80 85 50 80 100 80 80 80 95 100 90 100 95 80 80 50 88 90 90 85 70 90 30 85 85 87 85 90 85 75 90 102 80 100 95 110 80 95 90 80 90 Males (87 Students) 110 Females (102 Students) 89 Median Quartiles 95 Extremes 55 120 80 95 150 30 130

Explanation / Answer

(1) 55 mph (from the table looking at the extreme values, 55 mph is the slowest of the fastest speed by a male)

(2) 95 mph (We have 3rd quartile value at 95 mph which means one-fourth women had driven faster than that)

(3) 50% (89 is the median value in females category, so 50% population will lie above the median value)

(4) 51 (median value is 89 and total females are 102 that is even number, so females driving above 89 mph speed will be 51)

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