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