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56 Chapter 1 %u2022 Analyzing One-Variable Dataannual incomes of at least $100,000.60 Compare the distributions.Household size0601 2 3 4 5 6 7Percentage of households5040302010Low incomeHousehold size0601 2 3 4 5 6 7Percentage of households5040302010High income16. Writing style Numerical data can distinguish different types of writing and, sometimes, even individual authors. Here are histograms that display the distribution of word length in Shakespeare%u2019s plays and in articles from Popular Science magazine.61 Compare the distributions.Number of letters in wordShakespeare010152025Pe5rcent of words13579 2468 10 12 111 3 2468 5 7 9 1 10 12 1 13 14Number of letters in wordPopular SciencePercent of words0510152017. Body mass index Researchers wanted to investigate the relationship between blood pressure and body mass index (BMI) in predominantly lean African populations. As part of the research, they collected data on BMI from a sample of 338 rural and 290 semi-urban women in Ghana. Here are comparative histograms of the data for the two groups.62252015105012 16 20 24 28 32 36 40 16 20 24 28 32 36 40 12BMI (kg/m2) BMI (kg/m2)PercentSemi-urban Rural(a) Are the shapes of the two distributions similar or different? Explain your answer.(b) Are the centers of the two distributions similar or different? Explain your answer.(c) Are the variabilities of the two distributions similar or different? Explain your answer.(d) According to the World Health Organization, a person with a BMI less than 18 is considered underweight. Compare the percentages of rural and semi-urban women in the sample who are underweight.18. Paper towels In commercials for Bounty paper towels, the manufacturer claims that they are the %u201cquicker picker-upper%u201d%u2014but are they also the stronger picker-upper? Two statistics students decided to investigate. They selected a random sample of 30%u00a0Bounty paper towels and a random sample of 30 generic paper towels and measured their strength when wet. To do this, the students uniformly soaked each paper towel with 4 ounces of water, held two opposite edges of the paper towel, and counted %u00a9 Bedford, Freeman & Worth Publishers. For review purposes only. Do not distribute.