Grade 12 Statistics

Canada 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

49min

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

4.4.1. Skewness and Symmetry 6 min

4.4.2. 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. Probability

1.9hr

8.1.1. Events & Sample Spaces6 min

8.1.2. Types of Probability6 min

8.1.3. Probability Language & Notation4 min

8.1.4. Example3 min

8.1.5. Independent vs. Mutually Exclusive Events4 min

8.1.6. Example2 min

8.1.7. Practice Level 2

8.2.1. Venn Diagrams3 min

8.2.2. Tree Diagrams4 min

8.2.3. Two-way Table5 min

8.3.1. Interpretation of Probability2 min

8.3.2. Complement Rule3 min

8.3.3. Practice Level 11 min

8.3.4. The Addition Rule4 min

8.4.1. Probability of Independent Events4 min

8.4.2. Example3 min

8.4.3. Practice Level 22 min

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

8.5.2. Conditional Probability: Tree Diagram5 min

8.5.3. Bayes’ Theorem4 min

8.5.4. Example4 min

8.5.5. Practice Level 23 min

8.6.1. Example6 min

8.6.2. Example7 min

8.6.3. Example7 min

8.6.4. Practice Level 24 min

8.6.5. Practice Level 35 min

8.7.1. Summary of Key Definitions6 min

9. Random Variables

1.9hr

9.1.1. Discrete Random Variables8 min

9.1.2. Practice Level 1

9.1.3. Probability Distribution Function4 min

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

9.1.5. Example5 min

9.1.6. Example4 min

9.1.7. Practice Level 36 min

9.1.8. Practice Level 24 min

9.1.9. Practice Level 1

9.2.1. Transforming Data: Shifting & Scaling11 min

9.2.2. Practice Level 22 min

9.2.3. Linear Transformation (Bonus)3 min

9.2.4. Example4 min

9.2.5. Practice Level 22 min

9.3.1. Cumulative Distribution Function (CDF)3 min

9.3.2. Example6 min

9.3.3. Practice Level 22 min

9.4.1. Combining Random Variables7 min

9.4.2. Example2 min

9.4.3. Practice Level 22 min

9.4.4. Example3 min

9.4.5. Practice Level 2

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

9.4.7. Example3 min

9.4.8. Practice Level 1

9.4.9. Practice Level 32 min

9.5.1. Conditional Probability & Joint Distribution7 min

9.5.2. Example5 min

9.5.3. Practice Level 2

9.5.4. Random Variables & Joint Distribution7 min

9.5.5. Example3 min

9.5.6. Practice Level 2

9.5.8. Practice Level 3

11. Continuous Probability Distributions

1.8hr

11.1.1. Continuous Probability Distribution Theory10 min

11.2.1. Skewness and Symmetry 6 min

11.2.2. Practice Level 1

11.3.1. Uniform Distribution1 min

11.3.2. Practice Level 13 min

11.4.1. Exponential Experiment3 min

11.4.2. Exponential Distribution7 min

11.4.3. Practice Level 27 min

11.5.1. Normal Distribution11 min

11.5.2. Practice Level 25 min

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

11.6.2. Standardizing a Normal Random Variable4 min

11.6.3. Example10 min

11.6.4. Practice Level 26 min

11.6.5. Practice Level 33 min

11.7.1. Normal Approximation to Binomial2 min

11.7.2. Practice Level 25 min

11.7.3. Practice Level 24 min

11.7.4. Practice Level 24 min

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

11.8.2. Practice Level 22 min

12. Sampling Distribution

59min

12.1.1. Sampling Variability & Sampling Distribution12 min

12.2.1. Central Limit Theorem 5 min

12.2.2. Sampling Distribution for a Mean2 min

12.2.3. Example9 min

12.2.4. Practice Level 25 min

12.3.1. Sampling Distribution of Proportions5 min

12.3.2. Example3 min

12.3.3. Pratice Level 24 min

12.4.1. Drawing Samples From a Finite Population8 min

12.4.2. Example4 min

12.4.3. Practice Level 23 min

13. Confidence Intervals

48min

13.1.1. Introduction to Confidence Intervals14 min

13.2.1. Confidence Interval for a Mean13 min

13.2.2. Example4 min

13.2.3. Practice Level 23 min

13.3.1. Confidence Interval for a Proportion2 min

13.3.2. Example5 min

13.3.3. Practice Level 24 min

13.4.1. Margin of Error and Sample Size3 min

13.4.2. Practice Level 1

14. Hypothesis Testing (Bonus)

1.9hr

14.1.1. Introduction to Hypothesis Testing 15 min

14.1.2. Hypothesis Testing Steps25 min

14.2.1. Hypothesis Test for a Mean3 min

14.2.2. Example16 min

14.2.3. Example8 min

14.2.4. Practice Level 34 min

14.3.1. Hypothesis Test for a Proportion10 min

14.3.2. Example4 min

14.3.3. Practice Level 25 min

14.3.4. Practice Level 29 min

14.4.1. Type I and Type II Errors5 min

14.4.2. Type I and Type II Errors1 min

14.4.3. Practice Level 2

14.4.4. Practice Level 2

14.4.5. Power7 min

14.4.6. Practice Level 1

I Welcome

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