Math 7

Unit 7 Data Analysis

Lesson 7.4  Applications of Averages

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

Understand which average best describes a set of data.

There isn’t a Focus activity in this lesson.

Explore

Explore an idea or problem.
The exploration provides the background for the ideas presented in the lesson.

It’s not possible to do this activity unless you have several people you can collect data from.
I could “make up” data but that would defeat the purpose of the exploration.
These ideas will all be covered in the lesson.

Connect

Connect summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Pages 271 - 271

Read/Work through the  Connect  section on Pages 271 - 272  in your textbook.

Even if you KNOW you are going to watch the video, READING this section is still important.

Getting the same information in multiple ways can help with understanding.

Watch

Video Tutorial

Summary  (taken from the textbook)

The mean is usually the best average when no numbers in the data set are significantly different from the other numbers.

The median is usually the best average when there are numbers in the data set that are significantly different.

The mode is usually the best average when the data represent measures, such as shoe sizes or clothing sizes.
A store needs to restock the sizes that sell most often.

Example

The Example will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example

TEXT Pages 272 - 273

Work through the Example on Pages 272 - 273  in your textbook.

Watch

Video Tutorial

Summary

The mean is usually the best average when no numbers in the data set are significantly different from the other numbers.
The median is usually the best average when there are numbers in the data set that are significantly different.
The mode is usually the best average when the data represent measures, such as shoe sizes or clothing sizes.
A store needs to restock the sizes that sell most often.

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Assessment Focus a question that gives a good example of the kind of question you would be expected to answer after completing the lesson

Take It Further questions offer enrichment and extension.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", }})