Grade 12 Data Management

Ontario High School

Course Overview

Lessons & Practice

I. Welcome

1. Charts and Graphs for Quantitative Data

42min

1.1.1. Histograms4 min

1.1.2. Practice Level 22 min

1.1.3. Practice Level 22 min

1.1.4. Practice Level 1

1.2.1. Dot Plots5 min

1.2.2. Practice Level 1

1.3.1. Frequency Polygons2 min

1.3.2. Practice Level 24 min

1.4.1. Boxplots and Five Number Summary9 min

1.4.2. Practice Level 24 min

1.4.3. Practice Level 2

1.5.1. Stemplots (Stem-and-Leaf Plots)2 min

1.5.2. Practice Level 13 min

1.6.1. Times Series Plots2 min

1.6.2. Practice Level 32 min

2. Charts and Graphs for Categorical Data

20min

2.1.1. Pie Chart3 min

2.1.2. Practice Level 1

2.2.1. Bar Chart3 min

2.2.2. Practice Level 1

2.3.1. Segmented Bar Chart (or Stacked Columns)3 min

2.3.2. Practice Level 34 min

2.4.1. Contingency Table (Two-Way Table)4 min

2.4.2. Simpson’s Paradox3 min

2.4.3. Practice Level 2

3. Collecting Data & Sampling

44min

3.1.1. Introduction to Statistics4 min

3.1.2. Sample vs. Population7 min

3.1.3. Practice Level 1

3.1.4. Measurement Scales (Bonus)7 min

3.1.5. Practice Level 2

3.2.1. Statistical Sampling28 sec

3.2.2. Convenience Sampling1 min

3.2.3. Simple Random Sampling3 min

3.2.4. Systematic Sampling2 min

3.2.5. Stratified Sampling vs. Cluster Sampling6 min

3.2.6. Two-Stage Cluster Sampling2 min

3.2.7. Practice Level 1

3.2.8. Practice Level 1

3.2.9. Practice Level 2

3.3.1. Sampling Bias7 min

3.3.2. Recipe for a Good Sample5 min

3.3.3. Practice Level 1

3.3.4. Practice Level 2

4. Measure of Center and Spread

43min

4.1.1. Measures of Central Tendency7 min

4.1.2. Mean and Median Example2 min

4.1.3. Practice Level 1

4.1.4. Practice Level 12 min

4.1.5. Practice Level 13 min

4.2.1. Range and Interquartile Range11 min

4.2.2. Variance and Standard Deviation6 min

4.2.3. Practice Level 23 min

4.2.4. Practice Level 23 min

4.2.5. Practice Level 2

4.3.1. Percentiles4 min

4.3.2. Example2 min

4.3.3. Practice Level 1

5. Scatterplots, Association, and Correlation

56min

5.1.1. Scatterplots5 min

5.1.2. Practice Level 2

5.2.1. Correlation5 min

5.2.2. Practice Level 1

5.3.1. Solving for Correlation2 min

5.3.2. Example6 min

5.3.3. Practice Level 34 min

5.3.4. Example3 min

5.3.5. Practice Level 3

5.4.1. Coefficient of Determination (R Squared)7 min

5.4.2. Assessing Goodness of Fit6 min

5.4.3. Practice Level 2

5.5.1. Observational Studies4 min

5.5.2. Experimental Studies3 min

5.5.3. Example5 min

5.5.4. Practice Level 2

5.5.5. Experimental Design7 min

6. Simple Linear Regression

45min

6.1.1. Solving for the Regression Line (r, Sy, Sx Method)5 min

6.1.2. Example7 min

6.1.3. Practice (Version 1) Level 23 min

6.1.4. Solving for the Regression Line (Least Squares Method)2 min

6.1.5. Example5 min

6.1.6. Practice (Version 2) Level 25 min

6.2.1. Predictions3 min

6.2.2. Residuals (Errors)5 min

6.2.3. Practice Level 1

6.2.4. Residual Plots (Bonus)2 min

6.2.5. Regression Diagnostics (Bonus)5 min

6.2.6. Practice Level 2

6.2.7. Standard Deviation of the Residuals (Bonus)5 min

6.2.8. Practice Level 1

7. Counting Techniques

29min

7.1.1. Fundamental Counting Principle6 min

7.1.2. Permutations and Combinations6 min

7.1.3. Practice Level 21 min

7.1.4. Practice Level 154 sec

7.1.5. More Combination Rules (Bonus)3 min

7.1.6. Example4 min

7.1.7. Practice Level 23 min

7.1.8. Practice Level 2

7.2.1. Counting and Probability3 min

7.2.3. Practice Level 31 min

8. Binomial Theorem

37min

8.1.1. Bernoulli Trials4 min

8.1.2. Practice Level 24 min

8.1.3. Binomial Experiment4 min

8.1.4. Binomial Distribution8 min

8.1.5. Example10 min

8.1.6. Example1 min

8.1.7. Practice Level 26 min

8.1.8. Practice Level 2

9. Probability

1.9hr

9.1.1. Events & Sample Spaces6 min

9.1.2. Types of Probability6 min

9.1.3. Probability Language & Notation4 min

9.1.4. Example3 min

9.1.5. Independent vs. Mutually Exclusive Events4 min

9.1.6. Example2 min

9.1.7. Practice Level 2

9.2.1. Venn Diagrams3 min

9.2.2. Tree Diagrams4 min

9.2.3. Two-way Table5 min

9.3.1. Interpretation of Probability2 min

9.3.2. Complement Rule3 min

9.3.3. Practice Level 11 min

9.3.4. The Addition Rule4 min

9.4.1. Probability of Independent Events4 min

9.4.2. Example3 min

9.4.3. Practice Level 22 min

9.5.1. Probability of Dependent Events (Conditional Probability)7 min

9.5.2. Conditional Probability: Tree Diagram5 min

9.5.3. Bayes’ Theorem4 min

9.5.4. Example4 min

9.5.5. Practice Level 23 min

9.6.1. Example6 min

9.6.2. Example7 min

9.6.3. Example7 min

9.6.4. Practice Level 24 min

9.6.5. Practice Level 35 min

9.7.1. Summary of Key Definitions6 min

10. Random Variables

1.9hr

10.1.1. Discrete Random Variables8 min

10.1.2. Practice Level 1

10.1.3. Probability Distribution Function4 min

10.1.4. Expected Value, Variance, and Standard Deviation of Discrete Random Variables6 min

10.1.5. Example5 min

10.1.6. Example4 min

10.1.7. Practice Level 36 min

10.1.8. Practice Level 24 min

10.1.9. Practice Level 1

10.2.1. Transforming Data: Shifting & Scaling11 min

10.2.2. Practice Level 22 min

10.2.3. Linear Transformation (Bonus)3 min

10.2.4. Example4 min

10.2.5. Practice Level 22 min

10.3.1. Cumulative Distribution Function (CDF)3 min

10.3.2. Example6 min

10.3.3. Practice Level 22 min

10.4.1. Combining Random Variables7 min

10.4.2. Example2 min

10.4.3. Practice Level 22 min

10.4.4. Example3 min

10.4.5. Practice Level 2

10.4.6. Functions of Two Independent Random Variables X and Y5 min

10.4.7. Example3 min

10.4.8. Practice Level 1

10.4.9. Practice Level 32 min

10.5.1. Conditional Probability & Joint Distribution7 min

10.5.2. Example5 min

10.5.3. Practice Level 2

10.5.4. Random Variables & Joint Distribution7 min

10.5.5. Example3 min

10.5.6. Practice Level 2

10.5.7. Example

10.5.8. Practice Level 3

11. Discrete Probability Distributions

49min

11.1.1. Poisson Experiment5 min

11.1.2. Poisson Distribution1 min

11.1.3. Example3 min

11.1.4. Practice Level 25 min

11.1.5. Practice Level 25 min

11.2.1. Approximating the Binomial Distribution with Poisson2 min

11.2.2. Example6 min

11.2.3. Practice Level 2

11.3.1. Hypergeometric Experiment5 min

11.3.2. Hypergeometric Distribution9 min

11.3.3. Example4 min

11.3.4. Practice Level 24 min

11.3.5. Practice Level 2

12. Continuous Probability Distributions

1.8hr

12.1.1. Continuous Probability Distribution Theory10 min

12.2.1. Skewness and Symmetry 6 min

12.2.2. Practice Level 1

12.3.1. Uniform Distribution1 min

12.3.2. Practice Level 13 min

12.4.1. Exponential Experiment3 min

12.4.2. Exponential Distribution7 min

12.4.3. Practice Level 27 min

12.5.1. Normal Distribution11 min

12.5.2. Practice Level 25 min

12.6.1. Standard Normal Distribution (Z-Scores)11 min

12.6.2. Standardizing a Normal Random Variable4 min

12.6.3. Example10 min

12.6.4. Practice Level 26 min

12.6.5. Practice Level 33 min

12.7.1. Normal Approximation to Binomial2 min

12.7.2. Practice Level 25 min

12.7.3. Practice Level 24 min

12.7.4. Practice Level 24 min

12.8.1. Tchebysheff’s Theorem (Chebyshev's Theorem)3 min

12.8.2. Practice Level 22 min

13. Sampling Distribution

59min

13.1.1. Sampling Variability & Sampling Distribution12 min

13.2.1. Central Limit Theorem 5 min

13.2.2. Sampling Distribution for a Mean2 min

13.2.3. Example9 min

13.2.4. Practice Level 25 min

13.3.1. Sampling Distribution of Proportions5 min

13.3.2. Example3 min

13.3.3. Pratice Level 24 min

13.4.1. Drawing Samples From a Finite Population8 min

13.4.2. Example4 min

13.4.3. Practice Level 23 min

14. Confidence Intervals

48min

14.1.1. Introduction to Confidence Intervals14 min

14.2.1. Confidence Interval for a Mean13 min

14.2.2. Example4 min

14.2.3. Practice Level 23 min

14.3.1. Confidence Interval for a Proportion2 min

14.3.2. Example5 min

14.3.3. Practice Level 24 min

14.4.1. Margin of Error and Sample Size3 min

14.4.2. Practice Level 1

15. Hypothesis Testing (Bonus)

1.9hr

15.1.1. Introduction to Hypothesis Testing 15 min

15.1.2. Hypothesis Testing Steps25 min

15.2.1. Hypothesis Test for a Mean3 min

15.2.2. Example16 min

15.2.3. Example8 min

15.2.4. Practice Level 34 min

15.3.1. Hypothesis Test for a Proportion10 min

15.3.2. Example4 min

15.3.3. Practice Level 25 min

15.3.4. Practice Level 29 min

15.4.1. Type I and Type II Errors5 min

15.4.2. Type I and Type II Errors1 min

15.4.3. Practice Level 2

15.4.4. Practice Level 2

15.4.5. Power7 min

15.4.6. Practice Level 1

Mock Exams

ME.1. Mock Exam21 Qns

ME.2. Mock Exam18 Qns

ME.3. Mock Exam27 Qns

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Welcome to Grade 12 Data Management!
Hi, I'm Lawron, and this is a supplemental resource that will help you complete your MDM4U Course.

This resource includes the following activities: 
   Theory lessons: I will explain and summarize new data and stats concepts
   Examples: I will walk you through how to solve problems involving these new data and stats concepts
   Practice questions: These are for you to try out on your own. Don't worry, if you get stuck, you can watch the video solutions or read the suggested written answers

You may notice the word "(Bonus)" in some of the section titles. These indicate topics that some teachers may choose to teach, but is not necessarily a part of the provincial curriculum. I decided to include these topics in this resource because they are important for you to know if you choose to take higher level statistics.

Feel free to go through this resource at your own pace
Use the table of contents 📃 on the left to skip to parts you need help with
Watch the video ▶ or read the written lessons 📖
Speed up ⏩ or slow down ⏪ the videos 
Use the "Ask a question"❓ feature below each lesson/question any time!

Let's get started! 🚀

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