Math 20-2

Chapter 5 Statistical Reasoning

Lesson 5.2   Frequency Tables, Histograms, and Frequency Polygons

GOAL

The goal of this lesson is stated at the top of page 241 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Create frequency tables and graphs from a set of data

Explore...

Try to answer the question in the sidebar on page 241.

Sample Answer

There are different possible answers.

You could sort by year,   by value (pennies, nickels, dimes, etc.)  ,  by condition (how damaged they are),  by rarity (how many of a certain coin are in circulation), etc.

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 241 - 245       How can you approximate the water flow rate that is associated with serious flooding in Winnipeg?

Read/Work through the Learn About the Math section on Pages 241-245 in your textbook.

Go through this material,  AS BEST YOU CAN,  before you view the video tutorials that follow.

Actually doing this example is quite an undertaking.

I went through the entire process in the video that follows.

It’s long, but if you need help with these ideas,  I hope you will find it useful.

Video Tutorial

Apply the Math  (Examples)

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

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the examples as models.

Example 2  Comparing data using histograms

TEXT Pages 246 - 248

Work through Example 2 on Pages 246 - 248 in your textbook.

In Summary

Key Ideas and Need to Know 
Presents and summarizes  the main new concepts of the lesson

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

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

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

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

Closing  A summary question that often asks YOU to explain ideas in your own words.

Extending questions offer enrichment and extension.

Notes

Question 3
I didn’t do a video for this one.
The size and number of intervals is subjective.
If you want to check your answer with the one given in the textbook, use 6 intervals, starting at 60,  with an interval width of 5

Question 4
I didn’t do a video for this one.
The size and number of intervals is subjective.
Since the numbers all end in 0,  and MANY are multiples of 20,  that would be a good interval width.
If you want to check your answer with the one given in the textbook, use 10 intervals, starting at 0,  with an interval width of 20

Question 5
I didn’t do a video for this one.
The size and number of intervals is subjective.
If you want to check your answer with the one given in the textbook, use 5 intervals, starting at 30,  with an interval width of 10

Question 6,    I didn’t do a video for this one.
You can use the intervals and the frequency given in the question, no counting required.

Question 8
I didn’t do a video for this one.
Wow... for any student who actually does this question,  you have my respect!
That would be a huge amount of work.
The size and number of intervals is subjective.
If you want to check your answer with the one given in the textbook, use 5 intervals, starting at 9,  with an interval width of 9

Question 9,    I didn’t do a video for this one.
You can use the intervals and the frequency given in the question, no counting required.

Question 11,    I didn’t do a video for this one.

Question 12,    I didn’t do a video for this one.
The answer provided by the textbook outlines a good method for the solution.

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 7" , Question 10}})