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

W HY Y OU N EED TO K NOW<br />

We live in an age where we are constantly bombarded with<br />

visual images <strong>and</strong> stimuli. Much of our time is spent watching<br />

television, playing video games, or working at a computer<br />

monitor. These technologies are advancing rapidly, making<br />

the images sharper <strong>and</strong> more attractive to our eyes. Flat-panel<br />

screens, high-resolution monitors, <strong>and</strong> high-definition televisions<br />

represent significant improvements over the original<br />

technologies that they replaced. However, this phenomenon<br />

is not limited to video technology, but has also become an<br />

important part of the way businesses communicate with customers,<br />

employees, suppliers, <strong>and</strong> other constituents.<br />

Presentations <strong>and</strong> reports are expected to include<br />

high-quality graphs <strong>and</strong> charts that effectively transform<br />

data into information. While the written word is still vital,<br />

words become even more powerful when coupled with an<br />

effective visual illustration of data. The adage that “a picture<br />

is worth a thous<strong>and</strong> words” is particularly relevant in<br />

business decision making.<br />

As a business major, upon graduation you will find<br />

yourself on both ends of the data analysis business. On the<br />

one h<strong>and</strong>, regardless of what you end up doing for a career,<br />

you will almost certainly be involved in preparing reports<br />

<strong>and</strong> making presentations requiring the use of the visual<br />

descriptive statistical tools presented in this chapter. You<br />

will be on the “do it” end of the data analysis process.<br />

Thus, you need to know how to use these statistical tools.<br />

On the other h<strong>and</strong>, you will also find yourself reading<br />

reports or listening to presentations that others have made.<br />

In many instances, you will be required to make important<br />

decisions, or reach conclusions, based on the information<br />

in those reports or presentations. Thus, you will be on the<br />

“use it” end of the data analysis process. You need to be<br />

knowledgeable about these tools in order to effectively<br />

screen <strong>and</strong> critique the work that others do for you.<br />

<strong>Charts</strong> <strong>and</strong> graphs are not just tools used internally by<br />

businesses. Business periodicals such as Fortune <strong>and</strong><br />

Business Week use graphs <strong>and</strong> charts extensively in articles<br />

to help readers better underst<strong>and</strong> key concepts. Many<br />

advertisements will even use graphs <strong>and</strong> charts effectively<br />

to convey their message. Virtually every issue of The Wall<br />

Street Journal contains different graphs, charts, or tables<br />

that display data in an informative way.<br />

Thus, you will find yourself as both a producer <strong>and</strong> a<br />

consumer of the descriptive statistical techniques known as<br />

graphs, charts, <strong>and</strong> tables. You will create a competitive<br />

advantage for yourself throughout your career if you<br />

obtain a solid underst<strong>and</strong>ing of the techniques introduced<br />

in <strong>Chapter</strong> 2.<br />

This chapter introduces some of the most frequently used tools <strong>and</strong> techniques for<br />

describing data with graphs, charts, <strong>and</strong> tables. Although this analysis can be done manually,<br />

we will provide output from Excel <strong>and</strong> Minitab showing that these software packages<br />

can be used as tools for doing the analysis easily, quickly, <strong>and</strong> with a finished quality that<br />

once required a graphic artist.<br />

CHAPTER OUTCOME #1<br />

Frequency Distribution<br />

A summary of a set of data that<br />

displays the number of<br />

observations in each of the<br />

distribution’s distinct categories<br />

or classes.<br />

Discrete <strong>Data</strong><br />

<strong>Data</strong> that can take on a countable<br />

number of possible values.<br />

2.1 Frequency Distributions <strong>and</strong> Histograms<br />

As we discussed in <strong>Chapter</strong> 1, in today’s business climate, companies collect massive<br />

amounts of data they hope will be useful for making decisions. Every time a customer<br />

makes a purchase at a store like Wal-Mart or Sears, data from that transaction is updated to<br />

the store’s database. For example, one item of data that is captured is the number of different<br />

product categories included in each “market basket” of items purchased. Table 2.1<br />

shows these data for all customer transactions for a single day at one store in Atlanta. A total<br />

of 450 customers made purchases on the day in question. The first value, 4, in Table 2.1<br />

indicates that the customer’s purchase included four different product categories (for example<br />

food, sporting goods, photography supplies, <strong>and</strong> dry goods).<br />

While the data in Table 2.1 are easy to capture with the technology of today’s cash<br />

registers, in this form the data provide little or no information that managers could use to<br />

determine the buying habits of their customers. However, these data can be converted into<br />

useful information through descriptive statistical analysis.<br />

Frequency Distribution<br />

One of the first steps would be to construct a frequency distribution.<br />

The product data in Table 2.1 take on only a few possible values (1, 2, 3, ..., 11). The<br />

minimum number of product categories is 1 <strong>and</strong> the maximum number of categories in<br />

these data is 11. These data are called discrete data.

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