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This doc is a worksheet from the Understanding Graphing Worksheet.
Typology: Assignments
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Graphs appear not only in textbooks and scientific journals, but also in newspapers and popular magazines. They are useful because they clearly show relationships between two or more variables. Two of the most common graphs are bar and line graphs.
Bar graphs compare several variables according to one characteristic. For example, the bar graph below compares four kinds of cereal according to the number of calories each contains in 28 grams.
Number of Calories Compared to Brands of Cereal
100
110
120
130
Korn Krispies Sugar Circles Oat Boats Honey Hunks Brands of Cereal (28 grams)
Calories
Line graphs, such as the one below, show a change in one or more variables over time. They can also illustrate a trend.
Students Enrolled in Physical Science and Chemistry at North High School Vs. Years
50
55
60
65
70
75
1984 1985 1986 1987 1988 Years
Number of Students
Chemistry Physical Science
Notice that the independent variables in both graphs (the kind of Brands of Cereal and the Years) are plotted along the horizontal axis. Independent variables are chosen or changed by the experimenter. The dependent variables (the Number of Calories and the Number of Students) are plotted along the vertical axis. Dependent variables change when the independent variable changes. Notice, too, that both graphs include titles and labels for the variables.
To practice making a bar graph, let’s compare the number of
We will have a fixed number of variables on the horizontal axis. However, we must establish an appropriate range of numbers for the vertical axis.
Be sure to label the variables and give the graph a title. Draw in the bars and set them at the levels listed above.
To practice making a line graph, let’s say an optometrist has noticed an increase in the number of her patients requesting contact lenses. She wonders how this number compares with the number of people asking for glasses during the past five years. The chart below lists her raw data.
Be sure to label the variables and include a title. Use a legend to indicate each category of patient. Mark the points on the graph that show the number of patients who asked for glasses and number who requested contact lenses for each year.
Now connect the points that you have plotted in each category.
You have just constructed two graphs. Being familiar with the construction of graphs will not only help you when making your own, it will help you understand those you encounter in everyday life.