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Chapter 1: Q 123. (page 79)
If a distribution is skewed to the right with no outliers, which expression is correct?
(a) mean < median
(b) mean 鈮� median
(c) mean = median
(d) mean > median
(e) We can鈥檛 tell without examining the data.
Option (d) mean > median is correct option.
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Acorns and oak trees Of the many species of oak trees in the United States, 28 grow on the Atlantic Coast and 11 grow in California. The back-to-back stemplot displays data on the average volume of acorns (in cubic centimeters) for these 39 oak species. 29 Write a few sentences comparing the distributions of acorn size for the oak trees in these two regions.
Strong paper towels In commercials for Bounty paper towels, the manufacturer claims that they are the 鈥渜uicker picker-upper,鈥� but are they also the stronger picker-upper? Two of Mr. Tabor鈥檚 statistics students, Wesley and Maverick, decided to find out. They selected a random sample of 30 Bounty paper towels and a random sample of 30 generic paper towels and measured their strength when wet. To do this, they uniformly soaked each paper towel with 4 ounces of water, held two opposite edges of the paper towel, and counted how many quarters each paper towel could hold until ripping, alternating brands. The data are displayed in the relative frequency histograms. Compare the distributions
Part (a). Would it be appropriate to use frequency histograms instead of relative frequency histograms in this setting? Explain why or why not.
Part (b). Compare the distributions of number of quarters until breaking for the two paper towel brands
Making money The parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Compare the distributions of total family incomes in these two samples..
Fuel efficiency The dotplot shows the difference (Highway 鈭� City) in EPA mileage ratings, in miles per gallon (mpg) for each of 24 model year 2018 cars.
Part (a). Explain what the dot above 鈭�3 represents.
Part (b). What does the graph tell us about fuel economy in the city versus on the highway for these car models? Be specific.
Quiz gradesRefer to Exercise 87.
(a) Find the range of Joey鈥檚 first 14 quiz grades and the range of Joey鈥檚 quiz grades after his unexcused absence.
(b) Explain what part (a) suggests about using the range as a measure of variability for a distribution of quantitative data.
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