### Unit 7: Graphs and Charts

The list of available graph and chart applications is endless. You may have seen applications such as trying to understand voting trends and demographics for presidential campaigns and elections. Or, a business may require graphs and charts to forecast employment growth for a specific time period. Or, you may belong to a fantasy football or baseball team, and you may need to analyze the history of points that players have against certain teams as well as other statistics. In reading a news article that provides a chart, you may want to determine what information the chart provides. Using graphs and charts is a way to convey data that is easy to understand for a specific audience. Knowing how to read and interpret these items is of utmost importance in life, because charts and graphs can be manipulated to misrepresent the data.

This unit discusses various topics when using graphs and charts in mathematics. For each type of graph in the unit, you will need to create a graph as well as interpret the results of this type of graph. You will learn to create charts and graphs (stem-and-leaf plots, line graphs, bar graphs, box-and-whisker plots, circle or pie graphs, and pictographs), read charts, and work with the measures of central tendency for a data set.

**Completing this unit should take you approximately 7 hours.**

Upon successful completion of this unit, the student will be able to:

- determine the mean, median, mode, and range from a given set of data;
- represent and interpret data in a bar graph;
- represent and interpret data in a line graph;
- represent and interpret data in a pictograph;
- represent and interpret data in a circle graph;
- represent and interpret data in a bar graph; and
- represent and interpret data in a box-and-whisker plot.

### 7.1: Mean, Median, Mode, and Range

Take notes as you watch these videos. Watch these presentations carefully two or three times until you are able to understand how to find the mean, median, mode, and range of a set of numbers.

Read the "Summarizing Data" section, stopping at the "Percentiles" section, and complete the exercise associated with each topic. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice and understand terms related to the measure of central tendency. Then, complete exercises 1-4, 5b, 5c, 7-8. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice and understand terms related to the measure of central tendency.

### 7.2: Stem-and-Leaf Plots

Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a stem-and-leaf plot.

Read the "Stem-and-Leaf Graphs" section, stopping at the "Line Graphs" section. Then, complete Example 2. The solution to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice how to read and create a stem-and-leaf graph.

Complete exercises 1m, 3m, and 23. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to read and create a stem-and-leaf graph.

Complete the assignment on reading stem and leaf plots. You can review the concepts associated with the questions with the Khan videos in subunit 7.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again.

### 7.3: Line Graphs

Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to understand how to read line graphs. Watch the second presentation carefully two or three times until you are able to understand how line graphs can be misleading.

### 7.4: Bar Graphs

Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a bar graph.

Complete these assignments, which test your knowledge of reading and creating bar graphs. These assignments incorporate concepts of reading and creating bar charts. You can review the concepts associated with the questions with the Khan videos in subunit 7.4. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again.

### 7.5: Box-and-Whisker Plots

Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to understand how to read a box-and-whisker plot. Watch the second presentation carefully two or three times until you are able to understand how to create a box-and-whisker plot.

Read the "Box Plots" section. Then, complete Examples 1 and 2. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice how to read and create a box-and-whisker plot.

Complete exercises 5a-e, 17a, 17b, 17e, and 21. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to read and create a box-and-whisker plot.

Complete the assessment, which tests your knowledge on creating box-and-whisker plots. This quiz incorporates concepts of creating box-and-whisker plots, means, and quartiles. You can review the concepts associated with the questions with the Khan videos in subunit 7.5. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again.

### 7.6: Circle or Pie Graphs

Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a pie/circle graph.

Study the "Pie Charts" section on pages 552-559 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 1 and 2 on pages 554 and 556. This material contains examples on how to interpret and represent data with a pie chart.

Then, complete the odd-numbered exercises for 1-29 on pages 560-565 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to interpret and represent data with a pie chart. The solutions to these problems are located in the "Answers" section on page 566 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts, "Answers").

### 7.7: Pictographs

Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a pictograph.

Complete the assignments, which test your knowledge of interpreting pictographs. You can review the concepts associated with the questions with the Khan videos in subunit 7.7. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again.