This document discusses different types of graphs used to represent data including Pareto charts, time series graphs, and pie charts. It provides details on how to construct each graph type, including arranging bars from largest to smallest frequency for a Pareto chart and dividing a circle into wedges according to category percentages for a pie chart. Examples and steps are given for drawing each graph. Additional topics covered include stem and leaf plots and comparing data sets using different graph types.

4. P.61-62

6.  To represent data using Pareto charts, time
series graphs, and pie graphs.

7.  A Pareto chart is used to represent a
frequency distribution for a categorical
variable and the frequencies are displayed by
the heights of vertical bars, which are
arranged in order from highest to lowest.

8. 0
1
2
3
4
5
6
7
State
FL
PA
OK
ME
IN

9.  Make bars same width
 Arrange data from largest to smallest
according to frequency
 Make the units that are used for frequency
equal in size

10.  A time series graph represents data that
occur over a specific period of time.
 Procedure
◦ Draw and label the x and y axes
◦ Label the x axis for the independent variable
◦ Label the y axis for the dependent variable
◦ Plot each point according the table
◦ Draw line segments connecting adjacent points
(don’t use a curve).

11. Year Number
1999 156.2
2000 160.1
2001 162.3
2002 172.8
2003 179.4

12.  Two lines are used to compare two sets of
data on the same graph

13.  Purpose: To show the relationship of the
parts to the whole.
 Defn: A pie graph is a circle that is divided
into sections or wedges according to the
percentage of frequencies in each category of
the distribution.

14.  Step 1: Convert the frequency for each class into
a proportional part of the circle. Use
 All degrees should sum to 360.
 Step 2: Convert each frequency to a percentage.
Use
 Step 3: Use a protractor and a compass to draw
the graph using the appropriate degree measures
found in step 1 and label each section with the
appropriate name and percentage found in step
2.
360
frequency
Degrees
sumoffrequencies
  
100
enciessumoffrequ
frequency
Percentage

15.  Changing units at the starting point on the y
axis (see p. 70)
 Exaggerating a one-dimensional increase by
showing it in two dimensions (see p. 72)
 Omitting labels or units on the axes

16.  Objective: To draw and interpret a stem and
leaf plot.
 Defn: A stem and leaf plot is a data plot that
uses part of the data value as the stem and
part of the data value as the leaf to form
groups or classes.

17.  Arrange the data in order
 Separate the data according to the first digit
 Use leading digit as stem and trailing digit(s)
as the leaf

18. 52 58 51 50 73
58 77 66 53 57
73 56 55 67 73
Step 1: 50, 51, 52, 53, 55, 56, 57, 58, 58, 66, 67,73, 73, 73
Step 2: 50, 51, 52, 53, 55, 56, 57, 58, 58, 66, 67, 73, 73, 73
Step 3: Leading Digit Trailing Digit
5 0, 1, 2, 3, 5, 6, 7, 8, 8
6 6, 7
7 3, 3, 3

19.  Compares related sets of data – digits that
are used for the leaves are arranged in order
out from the stems on both sides
 Example
Atlanta Philadelphia
9 8 6 2 5
8 6 4 4 2 2 2 2 2 1 3 0 0 0 0 2 2 3 4 6 6 6 8 8 9 9
7 4 4 4 0 0 4 0 0 0 0
5 3 2 2 0 0 5 0 3 4 8
3 0 6 1
0 7

20.  pp. 77-79 #1, 7, 11, 13, 14, 15, 17
 Bonus Projects:
1. p. 84 (TI-83 Plus)
2. p. 84 Excel (Pie Chart)
3. P. 84 Excel (Pareto Chart)
4. P. 85 Excel (Time Series Plot)

21. Type of Offense

22. 8.5
8.7
9.0
9.3
9.6
9.9
10.2
10.4

23. Asset Distribution of
American 1%

24. Job Change When Economy Improves
Job Change When Economy Improves
Percent
Type of change

25. Age @ Inauguration for U.S. Presidents
4|5 = 45

26. Growth of Plants
5|1|3 = 15 and 13