1. MATH SELF TUTOR
SKILL:
GRAPHS

2. Pennsylvania State Standard: Data and Probability
M7.E.1 Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

3. Objectives
Student will be able to create an accurate graph (bar, multiple – bar, line, multiple – line, histogram, stem-and-leaf plot)
Students will be able to interpret data in order to answer questions.

4. NOPE! THERE ARE MORE! WOOHOO! Is that the only type of graph?
Types of Graphs
Bar Graph: a graph that uses horizontal or vertical bars to display countable data (set of information)
NOPE! THERE ARE MORE! WOOHOO!
Is that the only type of graph?

5. ANOTHER TYPE OF GRAPH!
Multiple - Bar Graph: a bar graph that represents two or more sets of data.

6. Types of Graphs
Line Graph: a graph that uses lines to show how data has changed over a period of time.

7. Even More Graphs!
Multiple – Line Graph: a line graph that represents two or more sets of data and how they have changed over a period of time.

8. More and More Graphs!
Histogram – a bar graph that shows the number of times data occur within certain ranges or intervals
ONLY 1 MORE! SWEET!

9. Now lets learn how to make these graphs
THE LAST GRAPH!
Stem – and – Leaf Plot: a data display that shows groups of data arranged by place value.
Now lets learn how to make these graphs

10. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH?
Label your x and y axis
Y axis is the vertical axis
(up and down)
X axis the horizontal axis
(side to side)
Number of Students
(y axis)
School Subject
( x axis)

11. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH?
Give your graph a title! It should appear above your graph!
Favorite School Subject

12. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH?
Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2
Pattern: Every line you count by 2 (you can choose whatever pattern you want as long as it fits your data)
Spacing: Y axis is every line ( you can choose to space your intervals however you want)

13. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH?
Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2
Spacing: X axis is every other line
Math
Science
History
Reading

14. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH?
Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2
Math
Science
History
Reading
Bars should be the same width and the same color!

15. WHAT DO I HAVE TO DO I INTERPRET A BAR GRAPH?
8b’s FAVORITE SCHOOL SUBJECT
The TITLE will tell you what the graph represents. This graph is representing 8b’s favorite subject. 14 12 10
Number of Students
(y axis) 8 6 4 2
Math
Science
History
Reading
School Subject

16. WHAT DO I HAVE TO DO I INTERPRET A BAR GRAPH?
WHAT IS THE X AXIS TELLING US?
8b’s FAVORITE SCHOOL SUBJECT
Number of
Students
The x axis is telling us the subjects that the students voted for. You can tell by the way the axis is labeled 14 12 10 8 6 4 2
Math
Reading
Science
History
School Subject

17. SAMPLE QUESTION!
How many students choose Reading as their favorite subject ?
8b’s FAVORITE SCHOOL SUBJECT
Number of
Students 14 12 10
1.Find Reading on the x axis. 8
2.Follow the bar up until it
stops. 6
3.Find the number on the y-axis
that corresponds to where the
bar ends. 4 2
8 students said that Reading is their favorite subject!
Math
Science
History
Reading
School Subject

18. HOW DO I MAKE A MULTIPLE BAR GRAPH?
You follow the same steps for making a bar graph
Make sure you have two or more bars and key to show what each bar represents.

19. HOW DO I MAKE A MULTIPLE BAR GRAPH?
Key
= girls
= boys
8th Grade’s Favorite Subject 12
Number of Students 9 6
Title 3
X and Y axis labeled
Intervals evenly spaced
Math
Reading
Science
History
Included Key
School Subjects

20. Line Graph? How do you make one of those?
It is simple. Remember a bar graph? You follow some of the same steps to get started.
EASY!
Title
Label x and y axis
Space intervals evenly

21. MAKING A LINE GRAPH Title Label axes Space intervals evenly
Number of books I read each month!
Title
Label axes 7 6 5
Space intervals evenly 4
# of books 3 2 1
June
July
August
September
NOW FOR THE NEW ITEMS!
Months

22. . . . . MAKING A LINE GRAPH Number of books I read each month!
To graph your data, point a point on in the correct spot. MAKE SURE THAT IT IS IN THE CORRECT ROW AND COLUMN. . 7 . 6 .
# of books 5
Sample Information: 4 . 3
I read 3 books in June. 2
I read 6 books in July. 1
I read 4 books in August.
June
I read 1 book in September.
July
August
September
Months

23. . . . . Then, using straight lines, connect your dots!
MAKING A LINE GRAPH
Then, using straight lines, connect your dots!
Number of books I read each month! . 7 . 6 .
# of books 5 4 . 3 2 1
June
July
August
September
Months

24. MAKING A MULTIPLE - LINE GRAPH
Number of books people have read each month!
Follow the same steps for making a line graph. MAKE SURE YOU INCLUDE A KEY TO IDENTITY WHAT EACH LINE REPRESENTS! . . . 7 . . 6 . .
# of books 5 4 . 3 2 1
June
July
August
September
Months

25. MAKING A MULTIPLE - LINE GRAPH
Number of books people have read each month!
KEY
= Susan
= Cliff . . . 7 . . 6 . . 5
# of books 4 . 3 2
The purple line shows you how many books Susan read each month, while the red line shows how many Cliff read each month 1
June
July
August
September
Months

26. MAKING HISTOGRAMS!
Making a histogram is very similar to making a bar graph
So what is different? Lets check it out!
Title on the top of the graph
Label x and y axis
Equal intervals.

27. MAKING HISTOGRAMS A histogram includes ranges.
Salaries at A.B.C Toy Store
A histogram includes ranges.
20 – 30
31 – 40
41 – 50
51 – 60
Salary for the year (in thousands)

28. MAKING HISTOGRAMS
When drawing the bars in the histogram, there should be no spaces!
Salaries at A.B.C Toy Store 20 15
Number of Employees 10 5
0 – 20
21 – 40
41 – 60
61 – 80
Salary for the year (in thousands)

29. Stem and Leaf Plots
A stem and leaf plot is different than the other graphs. It does not include bars, lines, or intervals.
A stem-and-leaf plot can help you compare data.

30. How do I Make a Stem and Leaf Plot?
First, arrange your data from the minimum (least) to the maximum (greatest).
Math test scores:
59, 70, 82, 84, 92, 96, 90, 100, 79, 73, 87
Math test scores arranged from minimum to maximum
59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100

31. How do I Make a Stem and Leaf Plot?
The stem stands for the digit in the 10s place value.
Math test scores arranged from minimum to maximum
59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100
Stem 5 7 8 9 10
If you have a number in which there is a place value greater than the 10s, include those in the stem.

32. How do I Make a Stem and Leaf Plot?
Each Leaf stands for the digit in the ones place value. MAKE SURE YOU ARE PUTTING THEM IN ORDER FROM MINIMUM TO MAXIMUM
Math test scores arranged from minimum to maximum
59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100
Leaf
Stem 5 7 8 9 10 0, 3, 2, 4, 6