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Lesson 1.4 %u2022 Displaying Quantitative Data: Stemplots 43(a) Make a back-to-back stemplot to compare the points scored in men%u2019s and women%u2019s first-round games.(b) Are the shapes of the two distributions similar or different? Explain your answer.(c) Did men%u2019s or women%u2019s winning teams tend to score more points in their first-round games? Justify your answer.17. Gal%u00e1pagos finches Biologists Peter and Rosemary Grant spent many years collecting data on finches in a remote part of the Gal%u00e1pagos Islands. Their research team caught and measured all of the birds in more than 20 generations of finches!The%u00a0back-to-back stemplot shows the beak depths (in millimeters) of 89 finches captured the year before a drought occurred and 89 finches captured the year after the drought occurred.47 Compare the distributions of beak depth in these two years.KEY: 10|0 = 10.0 mmbeak depthBefore drought After drought6677889910101111284119844420999997776555544432111110000099999888887777655444433322111111000876665555544071904477800111233445666666777789999000222223333334444555555666667777789990000111134444566718. Camera batteries Researchers decided to investigate which of two popular brands of camera battery lasts longer. They selected separate randomsamples of 40 camera batteries of each brand, and recorded how long each battery lasted (in hours of use). The back-to-back stemplot displays the data. Compare the two distributions.KEY: 14|6 = Battery lifeof 146 hoursBrand X Brand Y6789101112131486200999886408875311109664222008753111429352480145590025889900113367914666788356Applying the Concepts19. Possums How long are the heads of mountain brushtail possums? Does head length depend on the sex of the possum? Zoologists in Australia captured a random sample of 104 mountain brushtailpossums and recorded the values of 9 different variables, including head length (in millimeters).48Here is a stemplot of the head length data for all 104 possums.82 571389057244672355600145667795111223333455668801134445788891134467890399678056003344556668890144455688898384858687888990919293949596979899100101102103KEY: 96|9 is a mountainbrushtail possum with ahead length of 96.9 mm.(a) What percentage of possums in the sample had head lengths of 90 mm or less?(b) Describe the shape of the distribution. Are there any outliers?Here is a back-to-back stemplot displaying the head lengths of the male and female possums in the sample.82838485868788899091929394959697989910010110210359831756455277661866544098864488653328544118744319308766509517024736004503356890145581123345603478891699Male FemaleKEY: 96|9 is a mountainbrushtail possum with ahead length of 96.9 mm.(c) Compare the distributions of head length.20. More yogurt Which is healthier: dairy yogurt or plant-based yogurt? The Nutrition Action Healthletter provided data on calories, saturated fat, protein, calcium, and total sugars for many popular brands of yogurt.49 Here is a stemplot of the calorie content in single-serving containers of 83 brands of yogurt. Note that the data values are all multiples of 10 calories, so the stemplot truncates %u00a9 Bedford, Freeman & Worth Publishers. For review purposes only. Do not distribute.