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The following box plot shows the U.S. population for 1990†.Part (a)Are there fewer or more middle age adults (ages 33 − 50) than senior citizens (age 65 and over)? How do you know?There are more middle age adults, because 25% of the data falls in the range of 33 − 50, but less than 25% of the data is above 65.There are fewer middle age adults, because 25% of the data falls in the range of 33 − 50, and more than 25% of the data is above 65.    Part (b)12.6% are age 65 and over. Approximately what percent of the population are working age adults (above age 17 to age 65)? (Round your answer to one decimal place.) %

Question

The following box plot shows the U.S. population for 1990†.Part (a)Are there fewer or more middle age adults (ages 33 − 50) than senior citizens (age 65 and over)? How do you know?There are more middle age adults, because 25% of the data falls in the range of 33 − 50, but less than 25% of the data is above 65.There are fewer middle age adults, because 25% of the data falls in the range of 33 − 50, and more than 25% of the data is above 65.    Part (b)12.6% are age 65 and over. Approximately what percent of the population are working age adults (above age 17 to age 65)? (Round your answer to one decimal place.) %

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Solution

Part (a) Without the actual box plot, it's impossible to definitively answer this question. However, based on the information provided, it seems like there could be either more or fewer middle-aged adults than senior citizens. If 25% of the data falls in the range of 33-50 and less than 25% of the data is above 65, then there are more middle-aged adults. If more than 25% of the data is above 65, then there are fewer middle-aged adults.

Part (b) If 12.6% of the population is 65 and over, then the remaining 87.4% is under 65. If we consider working age adults to be those above 17, we need to subtract the percentage of the population that is 17 or under. Without this information, we can't provide an exact answer. However, if we assume that the distribution is somewhat even across age groups, we might estimate that about 20% of the population is 17 or under (this is purely a guess for the sake of example). In that case, approximately 67.4% of the population would be working age adults. Please note that this is a rough estimate and the actual percentage could be higher or lower.

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