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Basic and On Demand are always open for registration.
Plus courses are created upon request.

 

Syllabus Title: 
Statistics
Syllabus Description: 

Data, data, everywhere you go! Information has gone from scarce to superabundant thanks to the powers of the internet and computing. But all this data means nothing without the ability to transform it in into something useful. Enter statistics. Everyone from crime analysts to journalists, Fortune 500 CEOs to insurance agents rely on statistics to analyze the information they need to make the best decisions. This class will give you the methods and know-how you need to discern probabilities, understand variables, and accurately measure and display data. In-depth labs and activities will help you soak up the entire statistical process including design, analysis, and conclusions. Prerequisite: Successful completion of Algebra I.

* This course is located in category 'c' Mathematics. We are accepting enrollments in this category until the fall 2019 term.

Collection Semester: 
New Semester Heading: 
SEMESTER 1
New Unit Collection: 
New Unit Heading: 
Unit 1: Describing Distributions
New Unit Content: 
  • Pie Charts and Bar Charts
  • Describing Graphs
  • Dotplots
  • Stemplots
  • Comparing Graphs
  • Histograms
  • Ogives
  • Calculator Lesson: Graphing Univariate Graphs
  • Measures of Center
  • Measures of Spread Part 1
  • Measures of Spread Part 2
  • Outliers
  • Box and Whisker Plots
  • Comparing Distributions Again
  • Boxplot/Histogram Exploration
New Unit Heading: 
Unit 2: Density Curves and Normal Distributions
New Unit Content: 
  • Uniform Density Curves
  • Funky Figures
  • Mean vs Median
  • Standardization (z-scores)
  • What is a Normal Curve?
  • Empirical Rule
  • z-scores Revisited
  • More Normal Distribution
  • Is the Data Normal?
  • Calculator Lesson: normalcdf and invNorm
New Unit Heading: 
Unit 3: Linear Regression
New Unit Content: 
  • Scatterplots
  • Correlation
  • What is an LSRL?
  • Interpreting Slope and y-intercept
  • Finding and Interpreting the Correlation Coefficient (r)
  • More Ways to Find the LSRL
  • More Ways to Find the LSRL Part 2
  • Predicting and Residuals
  • Coefficient of Determination (r^2)
  • Linear Regression: Putting It Together
  • Residual Plots
  • Exponential Data
  • Power Data
  • Residual Plots Revisited
New Unit Heading: 
Unit 4: Sampling and Experiments
New Unit Content: 
  • Bad Samples
  • Types of Bias
  • Good Samples = Random Samples
  • Using Random Numbers for Sampling
  • Key Terms in Experimental Design
  • Completely Randomized Design
  • Block Design
  • Matched Pairs
New Unit Heading: 
Unit 5: Probability
New Unit Content: 
  • Simulation
  • Simulation Practice
  • Key Terms and Ideas
  • Formulas on the AP Exam
  • Disjoint Events
  • Independent Events
  • Venn Diagrams
  • Two Way Tables
  • Conditional Probability
  • Independence Revisited
New Unit Heading: 
Unit 6: Discrete Random Variables
New Unit Content: 
  • Probability Distributions for Random Variables
  • Mean and Standard Deviation of Discrete Random Variables
  • Rules for Means
  • Rules for Variances
  • Binomial Distribution Part 1
  • Binomial Distribution Part 2
  • Mean and Standard Deviation of Binomial Distributions
  • Geometric Distribution Part 1
  • Geometric Distribution Part 2
  • Mean of Geometric Distributions
  • Binomial, Geometric and Normal Exploration
New Semester Heading: 
SEMESTER 2
New Unit Collection: 
New Unit Heading: 
Unit 7: Sampling Distributions
New Unit Content: 
  • Introduction
  • Funky Figures Revisited
  • Normal Distribution Review
  • Overview of Sampling Distributions
  • Sampling Distribution for x-bar
  • Central Limit Theorem
  • Sampling Distribution for p-hat
  • Conditions for Inference - Proportions
  • Review
New Unit Heading: 
Unit 8: Confidence intervals for One-Sample Data
New Unit Content: 
  • Introduction
  • Structure of a Confidence Interval
  • Confidence Interval for a Single Mean (z-interval)
  • Practice with Confidence Intervals for a Single Mean (z-interval)
  • What is a t-distribution?
  • Confidence Interval for a Single Mean (t-interval)
  • Matched Pairs t-interval
  • Calculator Lesson: t-interval
  • Confidence Interval for Single Proportion (1-proportion z-interval)
  • Calculator Lesson: 1-proportion z-interval
  • Confidence Level and Finding n
  • Review
New Unit Heading: 
Unit 9: Significance Tests for One-Sample Data
New Unit Content: 
  • Introduction
  • Structure of a Test Part 1
  • Structure of a Test Part 2
  • Significance Test for a Single Mean - the t-test
  • One Sample t-test for Means (The Mechanics)
  • One Sample t-test for Means (Complete Test)
  • One Sample t-test for Means (Matched Pairs)
  • One Sample z-test for Proportions (The Mechanics)
  • One Sample z-test for Proportions (Complete Test)
  • Calculator Lesson: One Sample z-test for Proportions
  • Significance Level and Overview of Errors
  • Type I and Type II Errors
  • Power
  • Review
  • Hypothesis Tests and Confidence Intervals
New Unit Heading: 
Unit 10: Inference for Two-Sample Data
New Unit Content: 
  • Introduction
  • Two-Sample t-interval for Means
  • Calculator Lesson: Two-sample t-interval
  • Two-Sample t-test for Means
  • Calculator Lesson: Two-Sample t-test for Means
  • Two-Sample z-interval for Proportions
  • Calculator Lesson: Two-Sample z-interval for Proportions
  • Two-Sample z-test for Proportions
  • Calculator Lesson: Two-Sample z-test for Proportions
  • Review
New Unit Heading: 
Unit 11: Chi-Square Distribution
New Unit Content: 
  • Introduction
  • Chi-Square Goodness of Fit Test - The Components
  • Chi-Square Goodness of Fit Test - The Complete Test
  • Calculator Lesson: Chi-Square Goodness of Fit Test
  • Review of Two-Way Tables
  • Chi-Square Test for Independence - The Components
  • Chi-Square Test for Independence - The Complete Test
  • Calculator Lesson: Chi-Square Test for Independence
  • Review
New Unit Heading: 
Unit 12: Inference for Regression
New Unit Content: 
  • Introduction
  • Review of Linear Regression
  • Conditions for Inference for Slope
  • Linear Regression t-interval
  • Calculator Lesson: Linear Regression t-interval
  • Linear Regression t-test for a Slope - The Components
  • Linear Regression t-test for a Slope - The Complete Test
  • Calculator Lesson: Linear Regression t-test for a Slope
  • Review