statistics chapter 12 1. statistical graphs: a problem-solving tool section 12.5 2
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Statistical Graphs: A Problem-Solving
ToolSection 12.5
2
ExampleThe following data show the average amount of money spent on health care by persons under age 25:
1 425 2 445
3 5514 5045 530
Graph the data using 1–5 as the years and 400–600 as the amounts of $50 intervals. 3
Graph
1 2 3 4 5400
450
500
550
600
425
445
551
504
530
Average Amount of Money Spent on Health Care by Persons Under 25
Am
ount
(do
llars
)
Year 4
Example The double bar graph shows the production
costs and gross income (in thousands) for a company. Approximate the percent of gross income that goes to production costs for each year.
5
Solution
a. For 1998:
b. For 1999:
c. For 2000:
%61%100180
110
%45%100200
90
%46%100380
175
6
Example A recent survey of households showed that
more people planned to make major purchases this year. The following table gives the results of the survey. Use side-by-side vertical bar graphs comparing the percent of consumers planning to buy each of the items with the percent who bought each item last year.
Bought Last Year Plan to Buy This Year
Home 101 151
Car 326 390
Appliance 486 553
RV's 62 100
None 1432 1490 7
Bought Last Year Plan to Buy This Year
Home
Car
Appliance
RV's
SolutionBought Last Year Total = 2407Plan to Buy this Year Total = 2684
Bought Last Year Plan to Buy This Year
Home
Car
Appliance
RV's
0.042 = 4.2%
0.135 = 13.5%
0.202 = 20.2%
0.026= 2.6%
101/2407
326/2407
486/2407
62/2407
151/2684
390/2684
553/2684
100/2684
0.056 = 5.6%
0.147 = 14.7%
0.206 = 20.6%
0.037 = 3.7%8
Graph
9
Example
Construct a pie chart depicting the percentage of American adults interviewed who drink caffeinated beverages on a daily basis.
• 1-2 cups per day 34• 3-4 cups per day 15• 5-6 cups per day 10• 7+ cups per day 8• None 27 Total: 94
10
SolutionCups per Day Percentage
1-2 cup 34 34/94
3-4 cups 15 15/94
5-6 cups 10 10/94
7+ cups 8 8/94
None 27 27/94
Cups per Day Percentage
1-2 cup 34 0.36= 36%
3-4 cups 15 0.16 = 16%
5-6 cups 10 0.11 = 11%
7+ cups 8 0.09 = 9%
None 27 0.29 = 29%11
Graph
12END
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