The following box plot shows the ages of the U.S. population for 2010, the lates

Question

The following box plot shows the ages of the U.S. population for 2010, the latest available year. Are there fewer or more children (age 17 and under) than senior citizens (age 67 and over)? How do you know? If 13 % of the U S. population for 2010 is 67 years and over. What percent of the population are working age adults (above age 17 to age 67)? The population of the U.S. in the year 2010 was 309, 300,000. How many people in 2010 were children (age 17 and under)? Use the empirical rule to solve the problems below. At one college, GPA's are normally distributed with a mean of 2.76 and a standard deviation of 0.3. What percentage of students at the college have a GPA between 2.16 and 3.36?

Explanation / Answer

a) there are more children (17 and under) than senior citizens (67 and over)

because 17 is 25 th percentile

50 is 75th percentile (25 % more than 50)

so 25 % are 17 and under) whereas 67 and over will be less than 25 %

b)required percentile = (100-13) - 25 = 62

c) number of children = 309300000*0.25 = 77325000

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