High School Statistics

US High School

Course Overview

Lessons & Practice

I. Welcome

1. Displaying Quantitative (Categorical) Variable

12min

1.1.1. Pie Chart3 min

1.1.2. Practice

1.2.1. Bar Chart3 min

1.2.2. Practice

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

1.3.2. Practice4 min

2. Displaying Single Variable Quantitative Data

38min

2.1.1. Dot Plots5 min

2.1.2. Practice

2.2.1. Frequency Polygons2 min

2.2.2. Practice4 min

2.3.1. Histograms4 min

2.3.2. Practice2 min

2.3.3. Practice2 min

2.3.4. Practice

2.4.1. Boxplots and Five Number Summary9 min

2.4.2. Practice4 min

2.4.3. Practice

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

2.5.2. Practice3 min

3. Analyzing Single Variable Quantitative Data

49min

3.1.1. Measures of Central Tendency7 min

3.1.2. Mean and Median Example2 min

3.1.3. Practice

3.1.4. Practice2 min

3.1.5. Practice3 min

3.2.1. Skewness and Symmetry 6 min

3.2.2. Practice

3.3.1. Percentiles4 min

3.3.2. Example2 min

3.3.3. Practice

3.4.1. Range and Interquartile Range11 min

3.4.2. Variance and Standard Deviation6 min

3.4.3. Practice3 min

3.4.4. Practice3 min

3.4.5. Practice

5. Collecting Data & Sampling

44min

5.1.1. Introduction to Statistics4 min

5.1.2. Sample vs. Population7 min

5.1.3. Practice

5.1.4. Measurement Scales7 min

5.1.5. Practice

5.2.1. Statistical Sampling28 sec

5.2.2. Convenience Sampling1 min

5.2.3. Simple Random Sampling3 min

5.2.4. Systematic Sampling2 min

5.2.5. Stratified Sampling vs. Cluster Sampling6 min

5.2.6. Two-Stage Cluster Sampling2 min

5.2.7. Practice

5.2.8. Practice

5.2.9. Practice

5.3.1. Sampling Bias7 min

5.3.2. Recipe for a Good Sample5 min

5.3.3. Practice

5.3.4. Practice

6. Experiments and Observational Studies

23min

6.1.1. Observational Studies4 min

6.1.2. Experimental Studies3 min

6.1.3. Example5 min

6.1.4. Practice

6.2.1. Types of Experimental Designs7 min

6.2.2. Principles of Experimental Design4 min

6.2.4. Practice

6.2.5. Practice

7. Probability

1.9hr

7.1.1. Events & Sample Spaces6 min

7.1.2. Types of Probability6 min

7.1.3. Probability Language & Notation4 min

7.1.4. Example3 min

7.1.5. Independent vs. Mutually Exclusive Events4 min

7.1.6. Example2 min

7.1.7. Practice

7.2.1. Venn Diagrams3 min

7.2.2. Tree Diagrams4 min

7.2.3. Two-way Table5 min

7.3.1. Interpretation of Probability2 min

7.3.2. Complement Rule3 min

7.3.3. Practice1 min

7.3.4. The Addition Rule4 min

7.4.1. Probability of Independent Events4 min

7.4.2. Example3 min

7.4.3. Practice2 min

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

7.5.2. Conditional Probability: Tree Diagram5 min

7.5.3. Bayes’ Theorem4 min

7.5.4. Example4 min

7.5.5. Practice3 min

7.6.1. Example6 min

7.6.2. Example7 min

7.6.3. Example7 min

7.6.4. Practice4 min

7.6.5. Practice5 min

7.7.1. Summary of Key Definitions6 min

8. Counting Techniques

29min

8.1.1. Fundamental Counting Principle6 min

8.1.2. Permutations and Combinations6 min

8.1.3. Practice1 min

8.1.4. Practice54 sec

8.1.5. More Combination Rules3 min

8.1.6. Example4 min

8.1.7. Practice3 min

8.1.8. Practice

8.2.1. Counting and Probability3 min

8.2.3. Practice1 min

9. Discrete Random Variables (Discrete Probability Distributions)

1.2hr

9.1.1. Discrete Random Variables8 min

9.1.2. Practice

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. Practice6 min

9.1.8. Practice4 min

9.1.9. Practice

9.2.1. Bernoulli Trials4 min

9.2.2. Practice4 min

9.2.3. Binomial Experiment4 min

9.2.4. Binomial Distribution8 min

9.2.5. Example10 min

9.2.6. Example1 min

9.2.7. Practice6 min

9.2.8. Practice

10. Continuous Random Variables (Continuous Probability Distributions)

1.1hr

10.1.1. Continuous Probability Distribution10 min

10.2.1. Uniform Distribution1 min

10.2.2. Practice3 min

10.3.1. Normal Distribution11 min

10.3.2. Practice5 min

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

10.4.2. Standardizing a Normal Random Variable4 min

10.4.3. Example10 min

10.4.4. Practice6 min

10.4.5. Practice3 min

Mock Exams

ME.1. Mock Exam21 Qns

ME.2. Mock Exam18 Qns

ME.3. Mock Exam27 Qns

ME.1 Mock Exam

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Mock Exam

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