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Chapter 2: Q 37. (page 109)
If is added to every observation in a data set, the only one of the following that is not changed is
(a) the mean. (d) the standard deviation.
(b) the percentile. (e) the minimum.
(c) the median.
The correct option is (d).
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Gas it up! (1.3) Interested in a sporty car? Worried that it might use too much gas? The Environmental Protection Agency lists most such vehicles in its 鈥渢wo-seater鈥� or 鈥渕inicompact鈥� categories. The figure shows boxplots for both city and highway gas mileages for our two groups of cars. Write a few sentences comparing these distributions.
Estimate Q1, Q3, and the IQR of the distribution.
Computer use Mrs. Causey asked her students how much time they had spent using a computer during the previous week. The following figure shows a cumulative relative frequency graph of her students鈥� responses.
(a) At what percentile does a student who used her computer for hours last week fall?
(b) Estimate the median, , and from the graph. Are there any outliers
What the mean means The figure below is a density curve. Trace the curve onto your paper.
(a) Mark the approximate location of the median. Justify your choice of location.
(b) Mark the approximate location of the mean. Justify your choice of location.
Use the 68-95-99.7 rule to estimate the percent of observations from a Normal distribution that fall in an interval involving points one, two, or three standard deviations on either side of the mean.
George has an average bowling score of and bowls in a league where the average for all bowlers is and the standard deviation is Bill has an average bowling score of and bowls in a league where the average is and the standard deviation is Who ranks higher in his own league, George or Bill?
(a) Bill, because his is higher than George鈥檚
(b) Bill, because his standardized score is higher than George鈥檚.
(c) Bill and George have the same rank in their leagues because both are pins above the mean.
(d) George, because his standardized score is higher than Bill鈥檚.
(e) George, because the standard deviation of bowling scores is higher in his league.
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