Math 8

Unit 7 Data Analysis and Probability

Lesson 72 Misrepresenting Data

Focus

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

There isn’t a Focus section in this lesson.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Page 394

Read/Work through the  Investigate  section on Page 394 in your textbook.

You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Watch

Video Tutorial

Connect

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

TEXT Pages 394 - 396

Read/Work through the  Connect  section on Pages 394 - 396  in your textbook.

Examples

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

Example 1

TEXT Page 397

Work through Example 1 on Page 397 in your textbook.

Watch

Video Tutorial

Example 2

TEXT Page 398

Work through Example 2 on Page 398 in your textbook.

Watch

Video Tutorial

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

Discuss the Ideas invites you to talk about the math.
If possible share your thoughts/ideas/answers with another person.
If you can help them understand, then you likely have good understanding yourself.

Check questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Take It Further questions offer enrichment and extension.

Notes

Question 1,    one possible answer here would be the “management” at a company,  claiming the salaries ARE going up, so people are well paid and keeping up with the cost of living.   The flatter graph would be employees claiming that salaries are hardly going up at all,  and they need to get raises.

Question 2,    this was answered when the Examples were covered.

Question 3,    for many of these answers, it’s going to be the same common issue,  the vertical axis does NOT start at zero,  which creates a false impression of the differences in the data  (exaggerates them)

Question 12,    I did a quick search for “misleading charts”,  and got this website that has some examples.  NOTE!    I only quickly looked at the site so it hasn’t been “vetted” for the content!  My quick look did see some “good stuff” there.

Question 13,    the answer in the back of the book is fine here... I would add another possible answer,  to create a LARGE range of values, and then only use a small part of them.  This will greatly squeeze the graph and de-emphasize differences  (see question 4)

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!

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