Mr.+Garrison+MDM4U

** MDM4U Unit 4: Statistical Analysis ** **Project Links:** Timeline: Survey questionnaires compiled by Dec 17th **Presentations start on January 11th, 2011**  **Data Management Reports, due the week of January 21st**
 * Course Review** Unit 1: Counting [[file:nacimath/MDM4U Unit 1 Review.pdf|MDM4U Unit 1 Review.pdf]] Unit 2: Probability Distributions [[file:nacimath/MDM4U Probability Review.pdf|MDM4U Probability Review.pdf]] Unit 3: Continuous Distributions [[file:nacimath/MDM4U Normal Distribution Review.pdf|MDM4U Normal Distribution Review.pdf]] Unit 4: Statistical Analysis See homework questions assigned from unit 4 below. Focus on interpretation of data (cause and effect, sample types, data types, bias, etc.)
 * Date Complete || Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * Nov 26 || Confidence Intervals || 8.6 || p. 465 #5 and 6 || Explanation of confidence interval use with mean (note: this is slightly different than the confidence interval with proportions / probabilities done in the homework)

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 * Nov 29 || Hypothesis Test (or, "Is this so unlikely that it should not have happened?") || 8.5 || p. 457 #4, 6 || Read example 2 on p. 455

Good explanation of hypothesis testing [] || [] || []
 * Nov 30 || How well do you know the world and your school? || [[file:nacimath/Hans Rosling Intro How Much Do You Know About the World.doc|Hans Rosling Intro How Much Do You Know About the World.doc]] ||  || Gapminder, Hans Rosling and “No More Boring Data. Eh?”
 * Dec 1 || Sampling Techniques || 2.3 || p. 117 1, 2, 3, 4, 5, 7, 8, 9, 12 || Visual Explanation of Sampling Techniques

Explanation of Sampling Techniques using M&Ms (mmm) http://www.youtube.com/watch?v=wHgI6TolySw&NR=1 || [] ||
 * Dec 2 || Bias and Biased Questioning || 2.4 || p. 123 1, 2, 3, 4, 6, 8 || How to ask unbiased and fair questions
 * Dec 6 || Types of Data and Analysis of these types || Handout

|| Handout ||  ||
 * Dec 8 || Correlation || 3.1 || p. 169 1, 2, 3, 4, 5, 6, 10

Challenge: 12 || Strength of Correlations [] || [] Great interactive website for exploring linear regression [|http://standards.nctm.org/document/eexamples/chap7/7.4/index.htm#applet] || [] || [] ||
 * Dec 9 || Linear Regression || 3.2 || p. 171 1, 2, 3, 4, 5, 6, 7, 11 || How to perform linear regression on TI 83
 * Dec 13 || Non-Linear Regression || 3.3 || p. 191 1, 2, 3, 4, 5, 9 ||  ||
 * Jan 3 || Cause and Effect || 3.4 || p. 195 1, 2, 3, 4, 5, 6, 8, 14 || Correlation vs. Causation by comedian (warning: may or may not actually be funny)
 * || Critical Analysis of Data || 3.5 || 1, 2, 3, 4, 5, 8, 10 || Gapminder, Hans Rosling and “No More Boring Data. Eh?”
 * || Online Data Collection Exercises and Project Preparation ||  ||   || Statistics Canada Investigations

http://www.statcan.gc.ca/estat/guide/guide-eng.htm || ** MDM4U Unit 3: Continuous Probability Distributions ** || 7.1 and 8.1 || p. 371 #1 and p. 419 #1, 2, 3ab, 6 ||  || || 2.5 and 2.6 || p. 133 #1, 2, 3, 4, 9, 16 || [] ** Statistics ** The average, Sample vs. Population Mean, Sample Variance, Standard Deviation || || 8.2 || p. 430 #1, 2, 3, 4, 6, 7 Challenge: 10, 11 || [] ** Statistics ** Introduction to the Normal Distribution Normal Distribution Problems: Empirical Rule Normal Distribution Problems: Z-score
 * Date Complete || Lesson Title || Section / handout || Homework || Websites ||
 * Nov 5 || Continuous Probability Distributions
 * Nov 9 || Measures of Centre and Spread (mean, median, mode, standard deviation and variance)
 * Nov 12 || Properties of the Normal Distribution

|| 8.3 || p. 439 #1, 2, 3 Challenge #9 and 10 || [] ** Statistics ** Normal Distribution Problems: Z-score || || 8.4 || p. 449 #1, 2, 3, 4, 6, 7, 10, 13 || Youtube - fully worked solution [] ||
 * Normal CDF on a graphing calculator **
 * [] ** ||
 * Nov 15 || Normal Sampling and Modelling
 * Nov 18 || Normal Approximation to the Binomial
 * || //__ Extension: __// Confidence Intervals || 8.6 || p. 465 #5, 6 || See above recommended video clips ||
 * Nov 23 || Unit 3 Test || 7.1, 2.5-2.6, 8.1-8.4 || [[file:nacimath/MDM4U Unit 3 Practice test.doc|MDM4U Unit 3 Practice test.doc]]

** **  ** Note: Thinking / Inquiry #2, the question should read: class 2 has a deviation of 10 ** || TI 83 Emulator http://education.ti.com/calculators/downloads/US/Software/Detail?id=177# ||

__**MDM4U:**__


 * **//November 3, 2010//**

Chapter 7 Test tomorrow

Review of chapter 7: Binomial distribution explained on video

Example 1 http://www.youtube.com/watch?v=xNLQuuvE9ug

Example 2 http://www.khanacademy.org/video/binomial-distribution-1?playlist=Statistics

Geometric Probability

Example - keep in mind that the probabilities are independent since we are replacing the cards http://www.youtube.com/watch?v=INvbj5LKZKc

Hypergeometric Probability

Example - notice that the notation for nCr is slightly different than we are using. http://www.youtube.com/watch?v=pkk7hjmgVos

Expected Value

Example - good straightforward example of the definition of expected value http://www.youtube.com/watch?v=DAjVAEDil_Q