Facebook ratios. One way to compare the numbers of

Chapter , Problem 1.41

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Facebook ratios. One way to compare the numbers of Facebook users for different regions of the world is to take into account the populations of these regions. The market penetration for a product is the number of users divided by the number of potential users, expressed as a percent. For Facebook, we use the population as the number of potential users. Here are estimates of the populations in 2012 of the same geographic regions that we studied in the previous exercise:18 Region Population (in millions) Region Population (in millions) Africa 1026 Middle East 213 Asia 3900 North America 347 Caribbean 39 Oceania/ Australia 36 Central America 155 South America 402 Europe 818 (a) Compute the market penetration for each region by dividing the number of users from the previous exercise by the population size given in this exercise. Multiply these ratios by 100 to make the ratios similar to percents, and make a table of the results. Use the values in this table to answer the remaining parts of this exercise. (b) Carefully examine your table, and summarize what it shows. Are there any extreme outliers? Which ones would you classify in this way? (c) Use a stemplot to describe these data. You can list any extreme outliers separately from the plot. (d) Describe the major features of these data using your plot and your list of outliers. (e) How effective is the stemplot for summarizing these data? Give reasons for your answer. (f) Explain why the values in the table that you constructed in part (a) are not the same as the percents of the population in each region who are users.

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