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Chapter 2: Graphs, Charts, and Tables--Describing Your Data

Chapter 2: Graphs, Charts, and Tables--Describing Your Data

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CHAPTER 2 • GRAPHS, CHARTS, AND TABLES—DESCRIBING YOUR DATA 65<br />

golfers in a category by the total sample size. For example, for the category<br />

golf ball, the percentage is 81/300 0.27 27%.<br />

Step 3 Construct the pie chart.<br />

The pie chart is constructed by dividing a circle into six slices (one for<br />

each category) such that each slice is proportional to the percentage of<br />

golfers in the category.<br />

Pie charts are sometimes mistakenly used when a bar chart would be more appropriate.<br />

For example, a few years ago the student leaders at Boise State University wanted to<br />

draw attention to the funding inequities among the four public universities in Idaho. To do<br />

so, they rented a large billboard adjacent to a major thoroughfare through downtown Boise.<br />

The billboard contained a large pie chart like the one shown in Figure 2.15, where each<br />

slice indicated the funding per student at a given university. However, for a pie chart to be<br />

appropriate, the slices of the pie should represent parts of a total. But in the case of the billboard,<br />

that was not the case. The amounts merely represented the dollars of state money<br />

spent per student at each university. The sum of the four dollar amounts on the pie chart<br />

was a meaningless number. In this case, a bar chart like that shown in Figure 2.16 would<br />

have been more appropriate.<br />

CHAPTER OUTCOME #5<br />

Stem <strong>and</strong> Leaf Diagrams<br />

Another graphical technique that is useful for doing a preliminary analysis of quantitative<br />

data is called the stem <strong>and</strong> leaf diagram. The stem <strong>and</strong> leaf diagram is similar to the histogram<br />

introduced in Section 2-1 in that it displays the distribution for the quantitative<br />

variable. However, unlike the histogram, in which the individual values of the data are lost<br />

if the variable of interest is broken into classes, the stem <strong>and</strong> leaf diagram shows the individual<br />

data values.<br />

Minitab has a procedure for constructing stem <strong>and</strong> leaf diagrams. Although Excel<br />

does not have a stem <strong>and</strong> leaf procedure, the PHStat add-ins to Excel that are included on<br />

the CD-ROM do have a stem <strong>and</strong> leaf procedure.<br />

FIGURE 2.15<br />

Pie Chart: Per Student<br />

Funding for Universities<br />

Lewis <strong>and</strong> Clark College,<br />

$5,410<br />

Boise State University,<br />

$5,900<br />

Idaho State University,<br />

$6,320<br />

University of Idaho,<br />

$7,143

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