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Mathematics 107 statistics problems due Wednesday, May 15, 2013 1. Create data sets for which • mode < median < mean • mean <mode < median 2. To the right is a chart of ages of death in the U.S. in 2006. • draw a histogram of the ages • estimate the mode age • estimate the median age age x number (thousands) 0 ≤ x < 20 54 20 ≤ x < 40 95 40 ≤ x < 60 370 60 ≤ x < 80 836 80 ≤ x < 100 1052 100 ≤ x < 120 19 • by using midpoints, estimate the mean age • by using midpoints, estimate the standard deviation of the ages 3. A set of measurements of the length of an infant is normally distribued, with a mean of 21 inches, and a standard deviation of 0.4 inches. Calculate the probability that a measurement is between 20.8 and 21.4 inches. 4. A pollster wants to construct a 95% confidence interval for the percentage of people who think that global warming is a major issue. If the pollster wants a margin of error less than 2%, how many people should be polled ?