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Magazine Problem 10
A report says that "the median credit card debt of American households is zero." We know that many households have large amounts of credit card debt. In fact, the mean household credit card debt is close to \(\$ 8000\). Explain how the median debt can nonetheless be zero.
Problem 16
Reports on a student's ACT, SAT, or MCAT usually give the percentile as well the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. In 2015 , the scores on the Mathematics portion of the SAT were close to Normal with mean 511 and standard deviation \(120^{5}\) (a) Find the 85th percentile for the scores on the Mathematics portion of the SAT. (b) Joseph scored 451 . What was his percentile? (c) Find the first quartile for the scores on the Mathematics portion of the SAT.
Problem 20
Resting pulse rates for healthy adults are found to have approximately a Normal distribution with a mean of 69 beats per minute and a standard deviation of \(8.5\) beats per minutes. (a) What percent of healthy adults have resting pulse rates that are below 50 beats per minute? (b) What percent of healthy adults have resting pulse rates that exceed 85 beats per minute? (c) Between what two values do the central \(80 \%\) of all resting pulse rates lie?
