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Statistics Course Syllabus: Key Topics and Learning Objectives

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Frequency Distributions

  • Guided course
    Intro to Frequency Distributions Example 1
    06:19
  • Guided course
    How to Create Frequency Distributions
    06:29
  • Guided course
    Intro to Frequency Distributions
    06:38

Histograms

  • Guided course
    Intro to Histograms
    05:54
  • Guided course
    How to Create Histogram - TI-84 Calculator
    07:10

Frequency Polygons

  • Guided course
    Creating Frequency Polygons
    04:41
  • Guided course
    Frequency Polygons Example 1
    04:15

Stemplots (Stem-and-Leaf Plots)

  • Guided course
    Stemplots Example 1
    06:09
  • Guided course
    Creating Stemplots
    06:23

Bar Graphs and Pareto Charts

  • Guided course
    Bar Graphs and Pareto Charts Example 1
    05:26
  • Guided course
    Creating Bar Graphs and Pareto Charts
    04:52

Pie Charts

  • Guided course
    Creating Pie Charts
    06:10
  • Guided course
    Pie Charts Example 1
    01:18

Mean

  • Guided course
    Calculating the Mean
    04:52
  • Guided course
    Calculating the Mean Example 1
    03:08

Median

  • Guided course
    Comparing Mean vs. Median
    04:48
  • Guided course
    Calculating the Median Example 1
    02:35
  • Guided course
    Calculating the Median
    03:26

Mode

  • Guided course
    Mode
    03:20

Standard Deviation

  • Guided course
    Calculating Standard Deviation
    08:45
  • Guided course
    Calculating Standard Deviation Example 1
    02:59

Percentiles & Quartiles

  • Guided course
    Percentiles and Quartiles Example 1
    04:30
  • Guided course
    Percentiles and Quartiles
    07:11

Basic Concepts of Probability

  • Guided course
    Introduction to Probability
    5:37

Addition Rule

  • Guided course
    Probability of Mutually Exclusive Events
    5:14
  • Guided course
    Probability of Non-Mutually Exclusive Events Example
    2:57
  • Guided course
    Probability of Non-Mutually Exclusive Events
    5:14

Multiplication Rule: Independent Events

  • Guided course
    Probability of Multiple Independent Events
    05:54

Fundamental Counting Principle

  • Guided course
    Fundamental Counting Principle
    04:04

Counting

  • Guided course
    Introduction to Permutations
    07:11
  • Guided course
    Permutations of Non-Distinct Objects
    06:37
  • Guided course
    Counting Example 1
    03:59

Discrete Random Variables

  • Guided course
    Expected Value (Mean) of Random Variables
    04:14
  • Guided course
    Intro to Random Variables & Probability Distributions
    07:09
  • Guided course
    Variance & Standard Deviation of Discrete Random Variables
    04:48

Binomial Distribution

  • Guided course
    Finding Binomial Probabilities Using TI-84 Example 1
    03:33
  • Guided course
    Finding Binomial Probabilities Using TI-84 Example 2
    04:20
  • Guided course
    Mean & Standard Deviation of Binomial Distribution
    03:28

Standard Normal Distribution

  • Guided course
    Z-Scores from Probabilities
    08:50
  • Guided course
    Probabilities Between Two Values
    03:50
  • Guided course
    Finding Standard Normal Probabilities using z-Table
    09:47

Non-Standard Normal Distribution

  • Guided course
    Finding Z-Scores for Non-Standard Normal Variables Example 1
    06:21
  • Guided course
    Finding Values of Non-Standard Normal Variables from Probabilities
    04:05
  • Guided course
    Finding Z-Scores for Non-Standard Normal Variables
    03:17

Sampling Distribution of the Sample Mean and Central Limit Theorem

  • Guided course
    Central Limit Theorem Example 1
    02:33
  • Guided course
    Central Limit Theorem
    05:14
  • Guided course
    Sampling Distribution of Sample Mean
    06:53

Introduction to Confidence Intervals

  • Guided course
    Critical Values: z Scores
    04:46
  • Guided course
    Introduction to Confidence Intervals
    06:33

Confidence Intervals for Population Mean

  • Guided course
    Finding t-Values Using a TI-84
    05:47
  • Guided course
    Critical Values: t-Distribution
    05:50
  • Guided course
    Finding Confidence Intervals Using TI-84
    04:30

Confidence Intervals for Population Proportion

  • Guided course
    Constructing Confidence Intervals for Proportions Example 1
    06:38
  • Guided course
    Finding the Minimum Sample Size Needed for a Confidence Interval
    04:08
  • Guided course
    Constructing Confidence Intervals for Proportions Example 2
    04:24

Confidence Intervals for Population Variance

  • Guided course
    Constructing Confidence Intervals for Variance or Standard Deviation
    06:44
  • Guided course
    Constructing Confidence Intervals for Variance or Standard Deviation Example 2
    04:11
  • Guided course
    Constructing Confidence Intervals for Variance or Standard Deviation Example 1
    05:53

Steps in Hypothesis Testing

  • Guided course
    Step 4: State Conclusion
    09:56
  • Guided course
    Step 2: Calculate Test Statistic
    06:34
  • Guided course
    Step 1: Write Hypotheses
    06:21

Performing Hypothesis Tests: Means

  • Guided course
    Standard Deviation (σ) Unknown Example 3
    05:55
  • Guided course
    Standard Deviation (σ) Known Example 1
    06:38
  • Guided course
    Standard Deviation (σ) Known
    06:34

Performing Hypothesis Tests: Proportions

  • Guided course
    Performing Hypothesis Tests: Proportions
    05:52
  • Guided course
    Performing Hypothesis Tests: Proportions Example 1
    07:06
  • Guided course
    Performing Hypothesis Tests: Proportions Using TI-84
    03:32

Performing Hypothesis Tests: Variance

  • Guided course
    Performing Hypothesis Tests: Variance Example 1
    04:09
  • Guided course
    Performing Hypothesis Tests: Variance
    04:05

Type I & Type II Errors

  • Guided course
    Type I & Type II Errors Example 1
    03:21
  • Guided course
    Type I & Type II Errors
    06:02

Scatterplots & Intro to Correlation

  • Guided course
    Scatterplots & Intro to Correlation Example 1
    05:14
  • Guided course
    Scatterplots & Intro to Correlation
    06:36
  • Guided course
    Creating Scatterplots - Graphing Calculator
    05:26

Correlation Coefficient

  • Guided course
    Correlation Coefficient
    05:43
  • Guided course
    Calculating Correlation Coefficient - Graphing Calculator
    04:40
  • Guided course
    Calculating Correlation Coefficient - Graphing Calculator Example 1
    03:44

Linear Regression & Least Squares Method

  • Guided course
    Using Regression Lines to Predict Values
    04:57
  • Guided course
    Intro to Least Squares Regression Example 1
    05:02
  • Guided course
    Intro to Least Squares Regression
    07:01