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Probability & Statistics Academic Library

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Probability & Statistics A

Semester A of Probability of Statistics is designed to give 11th- and 12th-grade students an overview of basic concepts of statistics, with an emphasis on descriptive statistics. The semester begins with the key concepts of data, samples, and populations. Students will create visual representations of data sets, such as histograms and bar graphs. Students will describe the central tendency and spread of data for a data set.  Students will look for patterns in a data set and determine models based on those patterns. 

 

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Probability & Statistics A Online

UNIT 1: INTRODUCTION TO STATISTICS

  1. Course Overview
  2. Types of Statistics
  3. Types of Data
  4. Discrete and Continuous Data
  5. Sample and Population
  6. Quiz: Data
  7. Alternate Quiz: Data
  8. Collecting Data
  9. Sampling Bias
  10. Simple Random Samples
  11. Surveys
  12. Quiz: Recognizing Bias
  13. Alternate Quiz: Recognizing Bias
  14. Observational Studies
  15. Experiments
  16. Stratified Random Samples
  17. Interpreting Results
  18. Project: The Challenge to Be Random
  19. Quiz: Types of Studies
  20. Alternate Quiz: Types of Studies
  21. Unit Review
  22. Test: Introduction to Statistics
  23. Alternate Test: Introduction to Statistics
  24. Glossary and Credits

UNIT 2: PRESENTING DATA

  1. Simple Plots
  2. Histograms and Bar Graphs
  3. Central Tendency and Spread
  4. Scatter Plots
  5. Quiz: Displays
  6. Alternate Quiz: Displays
  7. Graphical Line of Best Fit
  8. Slope of a Line
  9. Finding the Equation of a Line of Best Fit
  10. Interpreting the Line of Best Fit
  11. Quiz: Line of Best Fit
  12. Alternate Quiz: Line of Best Fit
  13. Using Technology to Determine a Line of Best Fit
  14. Nonlinear Relationships
  15. Transforming Linear Functions by Vertical Change
  16. Project: Line of Best Fit
  17. Quiz: Best Fit Functions
  18. Alternate Quiz: Best Fit Functions
  19. Unit Review
  20. Test: Presenting Data
  21. Alternate Test: Presenting Data
  22. Glossary and Credits

UNIT 3: MEASURES OF CENTRAL TENDENCY

  1. The Mean
  2. The Median
  3. The Mode
  4. Sample and Population Mean
  5. Quiz: Mean, Median, and Mode
  6. Alternate Quiz: Mean, Median, and Mode
  7. Comparing Measures of Central Tendency
  8. Frequency Tables and the Mode
  9. Grouped Frequency Tables and the Modal Class
  10. Frequency Tables and the Median
  11. Quiz: Frequency Tables
  12. Alternate Quiz: Frequency Tables
  13. Frequency Tables and the Mean
  14. The Midrange
  15. Cumulative Frequency
  16. Cumulative Frequency Graphs
  17. Project: Data Collection
  18. Quiz: Using Frequency
  19. Alternate Quiz: Using Frequency
  20. Unit Review
  21. Test: Measures of Central Tendency
  22. Alternate Test: Measures of Central Tendency
  23. Glossary and Credits

 

UNIT 4: MEASURES OF DISPERSION

  1. Range
    1. Finding the Range
    2. Statistics: Find the range
  2. Variance
    1. How to Calculate Variance
  3. Standard Deviation
    1. Standard Deviation
    2. How to Calculate The Standard Deviation
  4. Normal Distributions
    1. The Normal Distribution, Clearly Explained
    2. Normal Distribution & Probability Problems
    3. Normal Distribution Explained with Examples
  5. Quiz: Dispersion
  6. Alternate Quiz: Dispersion
  7. Percentile
    1. Normal Distribution & Probability Problems
    2. Finding the Percentiles for a Normal Distribution
  8. Interquartile Range
    1. Interquartile Range (IQR)
    2. How to calculate interquartile range IQR
    3. Measuring Variation: Quartiles and Five Number Summary (next lesson)
  9. The Five Key Points (Five Number Summary)
    1. What is a 5 Number Summary
    2. Measuring Variation: Quartiles and Five Number Summary (repeat)
  10. Box Plots
  11. Quiz: Dispersion Displays
  12. Alternate Quiz: Dispersion Displays
  13. Estimating Population Dispersion
  14. Irregular Data Sets
  15. Sampling Distribution
  16. Other Distribution Shapes
  17. Project: Describing Data
  18. Quiz: Distributions
  19. Alternate Quiz: Distributions
  20. Unit Review
  21. Test: Measures of Dispersion
  22. Alternate Test: Measures of Dispersion
  23. Glossary and Credits

UNIT 5: APPLICATIONS

  1. Comparing Two Populations
  2. Marginal and Joint Frequencies
  3. Projecting to a Population
  4. Categorical Data Analysis
  5. Quiz: Populations
  6. Alternate Quiz: Populations
  7. An Experimental Drug Study
  8. Test Scores
  9. Cigarettes and Lung Cancer
  10. Another Look at Cigarettes and Lung Cancer
  11. Quiz: Conducting Studies
  12. Alternate Quiz: Conducting Studies
  13. Comparing Results for Cigarettes and Lung Cancer
  14. Using Technology for Nonlinear Distributions
  15. Power Functions
  16. Logarithmic Relationships
  17. Project: Experimental Drug Study
  18. Quiz: Analyzing Data
  19. Alternate Quiz: Analyzing Data
  20. Unit Review
  21. Test: Applications
  22. Alternate Test: Applications
  23. Glossary and Credits

 

UNIT 6: SEMESTER REVIEW AND EXAM

  1. Semester Review
  2. Semester Exam
  3. Alternate Semester Exam