Other Types of Graphs Section 2 3 Objective

Other Types of Graphs Section 2. 3

Objective 3 Represent data using; 1) Pareto Charts 2) Time series graphs 3) Pie graphs 4) Stem and Leaf 5) http: //passyworldofmathematics. com/e xponential-population-growth/ n

Pareto Charts puh-RAY-toe, or pah -RAY-toe. 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.

Example 2 -8 State Number Indiana 2. 9¢ Oklahoma 4. 3¢ Florida 6. 0¢ Maine 3. 8¢ Pennsylvania 5. 8¢ Construct and analyze a Pareto chart for the data.

Time Series Graph n A Time Series graph represents data that occur over a specific period of time.

Compound time series

Example 2 -9 The number (in millions) of vehicles, both passenger and commercial, that used the Pennsylvania Turnpike for the years 1999 through 2003 is shown. Construct and analyze a time series graph for the data. Year Number 1999 156. 2 2000 160. 1 2001 162. 3 2002 172. 8 2003 179. 4

Pie Graph 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.

Example 2 -10 This frequency distribution shows the number of pounds (millions) of each snack food eaten during the Super Bowl. Construct a pie graph for the data. Snack Pounds frequency (millions) Chips 11. 2 Tortilla C. 8. 2 Pretzels 4. 3 Popcorn 3. 8 Snack Nuts 2. 5 Total n= 30. 0

How to construct a pie graph 1. Step 1: If raw data is given, construct a frequency distribution. 2. Step 2: Convert frequency into degrees.

Example 2 -11 Construct a pie graph showing the blood types of the army inductees The frequency distribution is repeated here: Class Freq. % A 5 20 B 7 28 O 9 16 AB 4 16 n 25 100

Misleading Graphs

Stem and Leaf Plots 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

Back to Back stem and leaf

Example 2 -12 At an outpatient testing center, the number of cardiograms performed each day for 20 days is shown. Construct a stem and leaf plot for the data. 25 31 20 32 13 14 43 20 57 23 36 32 33 32 44 32 52 44 51 45

Example 2 -13 An insurance Company researchers conducted a survey on the number of car thefts in a large city for a period of 30 days last summer. The raw data are shown. Construct a stem and leaf plot by using classes 50 -54, 55 -59, 60 -64, 65 -69, 70 -74, and 75 -79 52 58 75 79 57 65 62 77 56 59 51 53 51 66 55 68 63 78 50 53 67 65 69 66 69 57 73 72 75 55

pictograph

Homework: n Exercises 2 -3 page 84 #3, 7, 12, 14, 15 and 17 plus n Extending Concepts #20 -25 all n Create a Graph

Suggested Review Questions and topics to review for the test 1 -2 n Page 29 Chapter Quiz 1 n Page 91 Tech notes n Page 98 Chapter Quiz 2