Chapter 1 - Introduction to Statistics

Chapter 1 - Introduction to Statistics

1.1– Overview of Statistics

1.1.1– Identify the Population and the Sample

1.1.2– Determine if the numerical value is a parameter or a statistic

1.2– Data Classification

1.2.1- Determine if the data is qualitative or quantitative

1.2.2– Identify the data’s level of measurement: Nominal, Ordinal, Interval and Ratio

1.3– Experimental Design

1.3.1– Observational Study, Experiment, Simulation and Survey

1.3.2– Identify the sampling technique: Random, stratified, cluster, systematic, or convenience

Chapter 2- Descriptive Statistics

2.1– Frequency Distributions and Their Graphs

2.1.1– Know a frequency distribution table: Classes, Class Limits, Midpoints, Frequencies, Boundaries, Relative Frequencies, and Cumulative Frequencies.

2.1.2– Know the Display Charts: Histogram, Frequency Histogram, Polygon, and Ogive

2.2– More Graphs and Displays

2.2.1– Stem and Leaf Plot, Dot Plot and Pareto Chart

2.3– Measures of Central Tendency

2.3.1– Measures of Central Tendency: Mean, Median and Mode

2.3.2– Weighted Mean

2.3.3– Shapes of Distribution: Symmetric, Uniform, Skewed Left and Skewed Right.

2.4– Measures of Variation

2.4.1– Range

2.4.2– Population Variance and Standard Deviation

2.4.3– Sample Variance and Standard Deviation

2.4.4– Interpreting Standard Deviation

2.4.5– Empirical Rule and Chebychev’s Theorem

2.5– Measures of Position

2.5.1– Quartiles

2.5.2– Interquartile Range

2.5.3– Box and Whiskers Plot

2.5.4– Interpreting Percentiles

Chapter 3- Probability

3.1 – Basic Concepts of Probability

3.1.1 - Probability Experiment, Outcome, Sample Space and Event

3.1.2 - Tree Diagram

3.1.3 - Simple Event

3.1.4 - Types of Probability: Classical, Empirical, Subjective

3.1.5 - Complement of an Event

3.2 – Conditional Probability and Multiplication Rule

3.2.1 - Conditional Probability

3.2.2 - Independent and Dependent Events

3.2.3 - Multiplication Rule

3.3 – Addition Rule

3.3.1 - Mutually Exclusive

3.3.2 - The Addition Rule

3.4 – Counting Principles

3.4.1 - Fundamental Counting Principles

3.4.2 - Permutation and Factorial

Chapter 4– Discrete Probability Distributions

4.1 – Probability Distributions

4.1.1 - Random Variable: Discrete and Continuous

4.1.2 - Discrete Probability Distribution

4.1.3 - Mean, Variance and Standard Deviation

4.2 – Binomial Distributions

4.2.1 - Binomial Experiment

4.2.2 - Binomial Probability Experiment

4.3 – More Discrete Probability Distributions

4.3.1 - Geometric Distribution

4.3.2 - Poisson Distribution

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