Math 10: Elementary Statistics

Students study probability, descriptive and inferential statistics including probability distribution, hypothesis testing, linear regression and applications.

Mathematics

Author: Max Sklar
Publisher: Mission College
Source: LibreTexts
License: CC BY
Language: EN
Category: Basic Sciences

Read online Download PDF (open licence)

Contents· 129 sections

01: Sampling and Data
1.00: Introduction
1.01: Definitions of Statistics Probability and Key Terms
1.02: Data Sampling and Variation in Data and Sampling
1.03: Frequency Frequency Tables and Levels of Measurement
1.04: Experimental Design and Ethics
1.05: Data Collection Experiment (Worksheet)
1.06: Sampling Experiment (Worksheet)
1.E: Sampling and Data (Exercises)
02: Descriptive Statistics
2.00: Prelude to Descriptive Statistics
2.01: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
2.02: Histograms Frequency Polygons and Time Series Graphs
2.03: Measures of the Location of the Data
2.3E: Measures of the Location of the Data (Exercises)
2.04: Box Plots
2.05: Measures of the Center of the Data
2.06: Skewness and the Mean Median and Mode
2.07: Measures of the Spread of the Data
2.08: Descriptive Statistics (Worksheet)
2.E: Descriptive Statistics (Exercises)
03: Probability Topics
3.00: Introduction
3.01: Terminology
3.02: Independent and Mutually Exclusive Events
3.03: Two Basic Rules of Probability
3.04: Contingency Tables
3.05: Tree and Venn Diagrams
3.06: Probability Topics (Worksheet)
3.E: Probability Topics (Exericses)
04: Discrete Random Variables
4.00: Prelude to Discrete Random Variables
4.01: Probability Distribution Function (PDF) for a Discrete Random Variable
4.02: Mean or Expected Value and Standard Deviation
4.03: Binomial Distribution
4.04: Geometric Distribution
4.05: Hypergeometric Distribution
4.06: Poisson Distribution
4.07: Discrete Distribution (Playing Card Experiment)
4.08: Discrete Distribution (Lucky Dice Experiment)
4.E: Discrete Random Variables (Exercises)
05: Continuous Random Variables
5.00: Introduction
5.01: Continuous Probability Functions
5.02: The Uniform Distribution
5.03: The Exponential Distribution
5.04: Continuous Distribution (Worksheet)
5.E: Continuous Random Variables (Exercises)
5.E: Exercises
06: The Normal Distribution
6.00: Prelude to The Normal Distribution
6.01: The Standard Normal Distribution
6.1E: The Standard Normal Distribution (Exercises)
6.02: Using the Normal Distribution
6.03: Normal Distribution - Lap Times (Worksheet)
6.04: Normal Distribution - Pinkie Length (Worksheet)
6.E: The Normal Distribution (Exercises)
07: The Central Limit Theorem
7.00: Prelude to the Central Limit Theorem
7.01: The Central Limit Theorem for Sample Means (Averages)
7.1E: The Central Limit Theorem for Sample Means (Exercises)
7.02: The Central Limit Theorem for Sums
7.03: Using the Central Limit Theorem
7.3E: Using the Central Limit Theorem (Exercises)
7.04: Central Limit Theorem - Pocket Change (Worksheet)
7.05: Central Limit Theorem - Cookie Recipes (Worksheet)
7.E: The Central Limit Theorem (Exercises)
08: Confidence Intervals
8.00: Prelude to Confidence Intervals
8.01: A Single Population Mean using the Normal Distribution
8.1E: A Single Population Mean using the Normal Distribution (Exercises)
8.02: A Single Population Mean using the Student t-Distribution
8.03: A Population Proportion
8.04: Confidence Interval - Home Costs (Worksheet)
8.05: Confidence Interval -Place of Birth (Worksheet)
8.06: Confidence Interval -Women's Heights (Worksheet)
8.E: Confidence Intervals (Exercises)
8.S: Confidence Intervals (Summary)
09: Hypothesis Testing with One Sample
9.00: Prelude to Hypothesis Testing
9.01: Null and Alternative Hypotheses
9.1E: Null and Alternative Hypotheses (Exercises)
9.02: Outcomes and the Type I and Type II Errors
9.2E: Outcomes and the Type I and Type II Errors (Exercises)
9.03: Distribution Needed for Hypothesis Testing
9.3E: Distribution Needed for Hypothesis Testing (Exercises)
9.04: Rare Events the Sample Decision and Conclusion
9.4E: Rare Events the Sample Decision and Conclusion (Exercises)
9.05: Additional Information and Full Hypothesis Test Examples
9.06: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
9.E: Hypothesis Testing with One Sample (Exercises)
10: Hypothesis Testing with Two Samples
10.01: Comparing Two Independent Population Means (Hypothesis test)
10.02: Comparing Two Independent Population Proportions (Hyppothesis test)
10.03: Matched or Paired Samples
10.04: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
11: The Chi-Square Distribution
11.00: Prelude to The Chi-Square Distribution
11.01: Facts About the Chi-Square Distribution
11.02: Goodness-of-Fit Test
11.03: Test of Independence
11.04: Test for Homogeneity
11.05: Comparison of the Chi-Square Tests
11.06: Test of a Single Variance
11.07: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
11.08: Lab 2- Chi-Square Test of Independence (Worksheet)
11.E: The Chi-Square Distribution (Exercises)
12: Linear Regression and Correlation
12.00: Prelude to Linear Regression and Correlation
12.01: Linear Equations
12.1E: Linear Equations (Exercises)
12.02: Scatter Plots
12.2E: Scatter Plots (Exercises)
12.03: The Regression Equation
12.3E: The Regression Equation (Exercise)
12.04: Testing the Significance of the Correlation Coefficient
12.4E: Testing the Significance of the Correlation Coefficient (Exercises)
12.05: Prediction
12.5E: Prediction (Exercises)
12.06: Outliers
12.6E: Outliers (Exercises)
12.07: Regression - Distance from School (Worksheet)
12.08: Regression - Textbook Cost (Worksheet)
12.09: Regression - Fuel Efficiency (Worksheet)
12.E: Linear Regression and Correlation (Exercises)
13: F Distribution and One-Way ANOVA
13.01: F Distribution
13.02: Multiple Comparisons
13.03: One-Factor ANOVA