Understanding Graphing Worksheet, Assignments of Computer science

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Understanding Graphing Worksheet
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 Krispi es Sugar Circles Oat Boats Honey Hunks
Brands of C ereal (28 grams)
Calories
1. Look at the numbers used on the vertical axis. What
would happen to the bars on the graph if these numbers
were changed to 100, 150, 200, and 300?
________________________________________________
________________________________________________
________________________________________________
2. How would the graph change if the numbers on the
vertical axis started with 0 and increased in increments
of 10?
________________________________________________
________________________________________________
________________________________________________
Line graphs, such as the one below, show a change in one
or more variables over time. They can also illustrate a trend.
Stud ents Enr olled in Ph ysical Sc ience an d
Chemistry at North High School Vs. Years
50
55
60
65
70
75
1984 1985 1986 1987 1988
Years
Number of Stu dents
Chemistry Physical Science
3. How does the enrollment in physical science compare
with that in chemistry over the years? Do you see any
trends?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
4. Why does this graph include a legend?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
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
students in several high schools. School A has 850, school B
has 600, school C has 1200, school D has 900, and
school E has 350.
5. In a bar graph of these data, what would be the
independent variable and on which axis would it be
plotted?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
6. What would be the dependent variable and on which
axis would it be plotted?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
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Understanding Graphing Worksheet

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

  1. Look at the numbers used on the vertical axis. What would happen to the bars on the graph if these numbers were changed to 100, 150, 200, and 300?

________________________________________________

________________________________________________

  1. How would the graph change if the numbers on the vertical axis started with 0 and increased in increments of 10?


________________________________________________

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

  1. How does the enrollment in physical science compare with that in chemistry over the years? Do you see any trends?

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

  1. Why does this graph include a legend?

____________________________________________________

____________________________________________________

____________________________________________________

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

students in several high schools. School A has 850, school B

has 600, school C has 1200, school D has 900, and

school E has 350.

  1. In a bar graph of these data, what would be the independent variable and on which axis would it be plotted?



____________________________________________________

  1. What would be the dependent variable and on which axis would it be plotted?



____________________________________________________

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.

  1. What is the highest and lowest number of students?

____________________________________________________

____________________________________________________

____________________________________________________

  1. Considering the range of numbers, what would be appropriate numbers to use on the vertical axis?

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

Now, on a piece of the graph paper, draw this bar graph.

Be sure to label the variables and give the graph a title. Draw in the bars and set them at the levels listed above.

  1. How is comparing school enrollment in a graph better than just listing the numbers in a sentence?

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

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.

Year

Patients Wanting

Glasses

Patients Wanting

Contact Lenses

  1. In a line graph for these data, what would be the independent variable and on which axis would it be plotted?


____________________________________________________

____________________________________________________

____________________________________________________

  1. In a line graph for these data, what would be the dependent variable and on which axis would it be plotted?

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

  1. Considering the highest and lowest number of patients for each year, what numbers would be the most appropriate to list on the vertical axis?

____________________________________________________

____________________________________________________

On the back side of the graph paper, draw the line graph.

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.

  1. What trends does the graph indicate?

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

____________________________________________________

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.