Each month the Bureau of Labor Statistics reports the number of people (in thous

Question

Each month the Bureau of Labor Statistics reports the number of people (in thousands) employed in the United States by age. The accompanying frequency distribution shows the results for August 2011.

Age

Frequency

16 to 19

4,794

20 to 24

13,273

25 to 34

30,789

35 to 44

30,021

45 to 54

32,798

55 and over

28,660

a) Construct a relative frequency distribution. What proportion of workers is between 20 and 24 years old?

b) Construct a cumulative relative frequency distribution. What proportion of workers is younger than 35 years old?

Age

Frequency

16 to 19

4,794

20 to 24

13,273

25 to 34

30,789

35 to 44

30,021

45 to 54

32,798

55 and over

28,660

Explanation / Answer

a) relative frequency distribution

proportion of workers is between 20 and 24 years old is 0.09=9%

b) cumulative relative frequency distribution

proportion of workers is younger than 35 years old is 0.35=35%

Age Frequency Rel Frq 16 to 19 4,794 0.03 20 to 24 13,273 0.09 25 to 34 30,789 0.22 35 to 44 30,021 0.21 45 to 54 32,798 0.23 55 and over 28,660 0.20 Total 140,335

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