MEI Statistics 1

1. Exploring Data

1.1. Looking at the Data

1.2. Stem-and-Leaf Diagrams

1.3. Categorical or Qualitative Data

1.4. Numerical or Quantitative Data

1.5. Measures of Central Tendency

1.6. Frequency Distributions

1.7. Grouped Data

1.8. Measures of Spread

1.9. Linear Coding

2. Data Presentation and Related Measures of Centre and Spread

2.1. Bar Charts and Vertical Line Charts

2.2. Pie Charts

2.3. Histograms

2.4. Measures of Central Tendency and of Spread Using Quartiles

2.5. Cumulative Frequency Curves

3. Probability

3.1. Measuring Probability

3.2. Estimating Probability

3.3. Expectation

3.4. The Probability of Either One Event or Another

3.5. The Probability of Events from Two Trials

3.6. Conditional Probability

4. Discrete Random Variables

4.1. Discrete Random Variables

4.2. Expectation and Variance

5. Further Probability

5.1. Factorials

5.2. Permutations

5.3. Combinations

5.4. The Binomial Coefficients, ⁿCᵣ

5.5. Calculating Probabilities in Less Simple Cases

6. The Binomial Distribution

6.1. The Binomial Distribution

6.2. The Expectation of B(n, p)

6.3. Using the Binomial Distribution

6.4. Does the Binomial Distribution Really Work?

7. Hypothesis Testing Using the Binomial Distribution

7.1. Defining Terms

7.2. Hypothesis Testing Checklist

7.3. Choosing the Significance Level

7.4. Critical Values and Critical Regions

7.5. 1-tail and 2-tail Tests

7.6. Asymmetrical Cases

Appendices

Appendix 1. The Derivation of the Alternative Form of the Sum of Squares, Sxx

Appendix 2. The Binomial Theorem

Answers

Answers: Chapter 1

Answers: Chapter 2

Answers: Chapter 3

Answers: Chapter 4

Answers: Chapter 5

Answers: Chapter 6

Answers: Chapter 7

Answers: Appendices

Index