The distribution of ages in the United States in the year 2010 is given below. Intervals include the left endpoint but not the right; the number of people aged 100 or more was not zero but it was so small that it makes no difference to the table. You can assume that the ages are uniformly distributed within each interval.

Age (Years) Percent
0-5 6.6
5-15 13.3
15-20 7.1
20-30 13.8
30-45 19.8
45-60 20.9
60-75 12.5
75-100 6.0
Source: Adapted from Statistical Abstract 2012
: 3.0 points

Each part is worth 1 point.

a) Which interval contained more people: 5-15 or 15-20?
5-1515-20

b) Which interval was more crowded: 5-15 or 15-20?
5-1515-20

c) Were there more 5-year-olds or 15-year-olds?
5-year-olds15-year-olds

To answer these questions, we need to compare the percentages given for each age interval. Here's how you can determine the answers:

a) To determine which interval contained more people between the ages of 5-15 or 15-20, compare the percentage values. In this case, the percentage for the 5-15 age interval is 13.3%, and the percentage for the 15-20 age interval is 7.1%. Since the percentage for the 5-15 age interval is higher, that means there were more people in that interval.

b) To determine which interval was more crowded between the ages of 5-15 or 15-20, once again compare the percentage values. The percentage for the 5-15 age interval is 13.3%, and the percentage for the 15-20 age interval is 7.1%. Since the percentage for the 5-15 age interval is higher, it means that age interval was more crowded.

c) To determine if there were more 5-year-olds or 15-year-olds, look at the percentages in the age interval 0-5. In this case, the percentage for the 0-5 age interval is 6.6%. Since this age interval includes both 5-year-olds and younger children, it's safe to say that there were more 5-year-olds than 15-year-olds.

By comparing the percentages, you can determine the answers to these questions.