Questions
1. Let A = {1, 3, 8, 13, 15} and B = {2, 7, 8, 10 ,13}. For each set of sample data find the mean, range, standard deviation, and variance.
2. A sample consists of the amount of tread left (measured in inches) on the tires of 90 cars that stop at a rest area on an interstate highway. What are the units for the mean, standard deviation, and variance for this data?
3. What can you say about data for which the standard deviation is zero?
4. The mean time for the runners in a five mile race was 43.7 minutes with a standard deviation of 8.6 minutes. What can you say about the percentage of runners who had times between 26.4 minutes and 60.8 minutes? After you get your answer, you may confirm it by looking at the actual data given in the question part of the section, Summarizing Data With Tables.
(look at data for question 4)5. Assume that the distribution of heights of women has a bell-shaped curve with a mean of 64 inches and a standard deviation of 2.5 inches. What percent of women are between 59 inches and 69 inches tall?