MDM4U Unit 1:
Statistical Analysis
11 Sampling Techniques and Bias in Surveys
Learning Goal:
I am able to ...
 understand the difference between sampling techniques; and
 recognize bias in survey questions, and create questions that limit bias.
Lesson:
 Read pages 113116 in the textbook.
 Define the following terms, and write an example to illustrate the difference between them:
 Population
 Sample
 Copy and complete the following table:
Sampling Technique 
Definition 
Example 
simple random sample 

systematic sample 

stratified sample 

cluster sample 

multistage sample 

voluntaryresponse sample 

convenience sample 
 Read pages 119122 in the textbook.
 Copy the following sentence into your notes:
 "Statistical bias is any factor that favours certain outcomes or responses and hence systematically skews the survey results."
 Copy and complete the following table:
Type of Bias 
Definition 
Example 
sampling bias 

nonresponse bias 

measurement bias 

response bias 
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 117 #13
 Page 117 #412 (choose your favourite three)
 Page 123 #13, 6, 8
Assignment:
 Open up this online textbook (Collaborative Statistics).
 From section 1.6 Sampling  on pg. 28 (or 36 of the pdf)
 read Example 1.6 and 1.7
 Complete 1.14 Lab 2  Sampling Experiment (pg. 52, pdf 62)
 You may complete the lab alone or with one partner.
 Here is a link to a 'true' random number generator that you can use.
 Prepare an electronic version of the lab to be shared with me (mark.fisher@ed.amdsb.ca)
12 Measures of Central Tendency
Learning Goal:
I am able to ...
 explain and calculate all measures of central tendency when given raw data.
Lesson:
Watch and take notes from the following videos.
 Refer to the Key Equations page (last page in your textbook) for all formulas.
 Make a copy of the Google Sheets file used in the video examples (ignore the stuff he says about Google Classroom).



Note: Ignore the "Homework" assigned at the end of the video.
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 133 #15, 79, 11, 12 (don't do 12e)
13 Measures of Spread
Learning Goal:
I am able to ...
 calculate a measure of spread for a given set of data.
Lesson:
Watch and take notes from the following videos.
 Refer to the Key Equations page (last page in your textbook) for all formulas.
 Make a copy of the Google Sheets file used in the video examples (ignore the stuff he says about Google Classroom).



Here's a worked example for calculating standard deviation:
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 148 #17, 9, 10
14 Visual Displays of Data
Learning Goal:
I am able to ...
 structure and organize data to allow the use of a spreadsheet to create a graphical display for the data.
Lesson:
Watch and take notes from the following videos.
 Make a copy of the Google Sheets file used in the video examples (ignore the stuff he says about Google Classroom).



Note: Ignore the "Homework" assigned at the end of the video
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 101 #13, 5, 89
15 Scatter plots and Linear Correlation
Learning Goal:
I am able to ...
 critically assess a scatter plot; and
 determine the type of relationship, specifically linear correlations.
Lesson:
Watch and take notes from the following videos.
 Refer to the Key Equations page (last page in your textbook) for all formulas.
 Make a copy of the Google Sheets file used in the video examples.



Note: Ignore the "Homework" assigned at the end of the video
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 168 #16, 10
For Your Interest:
Here are some videos describing how data collected through social media can be used to predict a lot of things about people through the power of correlation. Very interesting!
16 Linear Regression
Learning Goal:
I can ...
 use technology to obtain an algebraic model for a set of data using the concept of linear regression.
Lesson:
Watch and take notes from the following videos.
 Make a copy of the Google Sheets file used in the video examples.


Note: Ignore the "Homework" assigned at the end of the video
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 180 #1, 2, 57, 13
17 NonLinear Regression
Learning Goal:
I can ...
 identify nonlinear correlations in data; and
 use technology to determine an algebraic model using the concept of regression.
Lesson:
Watch and take notes from the following videos.
 Make a copy of the Google Sheets file used in the video examples.


Note: Ignore the "Homework" assigned at the end of the video
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 191 #15
 Polynomial Modelling, #1, 3, 5
18 Applications of Regression and Critical Analysis
Learning Goal:
I can ...
 apply regression to realworld situations; and
 analyze the resulting regression, drawing appropriate conclusions and recommendations.
Lesson:
Watch and take notes from the following videos.
 Make a copy of the Google Sheets file used in the video examples.



Note: Ignore the "Homework" assigned at the end of the video
Work:
Complete the following questions, and show them to Mr Fisher.
 Page 209 #36, 8
Unit 1 Assignments
There are two major assignments to complete for this unit. For each assignment, you will need to create a report in Google Docs and share it with Mr Fisher (mark.fisher@ed.amdsb.ca)
 Assignment 1: Correlation vs. Causation
 Assignment 2: Regression Analysis
Unit 1 Review
Complete the following questions in order to prepare for the Unit 1 Test. Remember to check your answers to make sure you understand.
 Unit 1 Review (answers included)
Unit 1 Test
When you are ready for the Unit 1 Test, ask Mr Fisher for it.
You will need a full period to complete the test.
You will need a full period to complete the test.