# Statistics with StatCrunch by the Math Sorcerer

## What you'll learn

- How to use StatCrunch for Statistics
- The Difference Between Qualitative and Quantitative Data
- The Difference Between Discrete and Continuous Data
- Definitions of Population, Parameter, Sample, and Statistic
- Levels of Measurement: Nominal, Ordinal, Interval, Ratio
- Random Samples versus Simple Random Samples
- Cluster Sampling, Stratified Sampling, Convenience Sampling, and Systematic Sampling
- How to Construct a Frequency Table/Frequency Distribution from Scratch given the Data
- How to Fill in a Frequency Table given some Information
- How to Compute the Class Width from the Formula and from the Table
- How to Compute the Class Limits, Frequencies, Relative Frequencies, Class Midpoints, Cumulative Frequencies, and Class Boundaries
- Determine if a Frequency Table is Normal
- The Definition of an Outlier
- Finding the Mean and Standard Deviation from a Frequency Table
- How to Read a Histogram
- How to Identify the Shape of a Histogram
- How to Determine if a Histogram is Normal
- How to Create a Pareto Chart in StatCrunch
- How to Create a Pie Chart in StatCrunch
- How to Create a Stemplot(Stem and Leaf Display) in StatCrunch
- How to Create a Scatter Plot in StatCrunch
- How to Create a Dotplot in StatCrunch
- How to Read Statistical Graphs and Recognize Bad Graphs
- Understand the Notation in Statistics
- Understand the Measures of Center: Mean, Median, Mode, and Midrange
- Compute all the Measures of Center using StatCrunch
- Understand the Measures of Variation: Range, Standard Deviation, Variance, and Coefficient of Variation
- Compute all the Measures of Variation using StatCrunch
- How to Compute the Coefficient of Variation by Hand
- Understand Z-Scores and What they Mean Intuitively
- How to Compute Z-Scores by Hand with the Formula
- How to Find the Value of x Given the Z-Score
- How to Compute the Maximum and Minimum Usual Values
- Understand Boxplots(Box and Whisker Plots), the Five Number Summary, and the IQR(Interquartile Range)
- Create a Boxplot, Find the Five Number Summary, and Find the IQR using StatCrunch
- Understand How to Read Boxplots
- How to Find Percentiles Given the Data with StatCrunch
- Understand what a Probability Is
- Understand the Various ways to Compute Probabilities
- Understand The Basic Rules of Probability
- Understand Complements in Probability
- Understand the Addition Rule Formula for Probability and What it Means Intuitively
- How to use the Addition Rule in Probability Problems
- How to Compute Probabilities from a Table
- Understand the Multiplication Rule for Probability
- How to use the Multiplication Rule for Probability Both With and Without Replacement
- Understand Conditional Probability
- How to Compute Conditional Probabilities in Various Scenarios, including those which Include a Table
- Understand the Multiplication Rule for Counting(AKA the Fundamental Principle of Counting) and How to Use it
- Understand what a Permutation Actually Means
- Understand what a Combination Actually Means
- Understand the Difference between Permutations and Combinations
- Compute Permutations and Combinations by Hand with the Formulas
- Compute Permutations by Hand without the Formula
- Compute Permutations and Combinations with StatCrunch
- Compute Various Probabilities using the Theory of Counting(Multiplication Rule, Combinations, Permutations)
- Understand what a Random Variable Actually Is
- Determine if a Random Variable is Discrete or Continuous
- Understand what a Probability Distribution Actually is
- Determine if the Given Table Defines a Probability Distribution
- Compute Probabilities from a Given Probability Distribution using StatCrunch and By Hand
- Compute the Mean and Standard Deviation Given a Probability Distribution using StatCrunch
- Understand What the Expected Value Means in the Context of the Real World(Lottery) and How to Compute it by Hand
- Understand the Binomial Distribution and it's Purpose
- Compute Probabilities by Hand with the Binomial Distribution
- Compute Probabilities with StatCrunch and the Binomial Distribution
- Compute the Mean and Standard Deviation of the Binomial Distribution by Hand
- Understand the Poisson Distribution(Very Cool!)
- Compute Probabilities using the Poisson Distribution by Hand
- Use StatCrunch to Compute Probabilities with the Poisson Distribution
- Compute the Mean and Standard Deviation of the Poisson Distribution
- Construct a Probability Distribution for the Sample Means by Hand
- Construct a Probability Distribution for the Sample Proportions by Hand
- Understand the Normal Distribution and the Standard Normal Distribution
- How to Compute Probabilities with the Normal Distribution and StatCrunch
- Find the Area under the Normal Distribution with StatCrunch
- Compute Z-Scores given the Area under the Normal Curve with StatCrunch
- Find Percentiles with the Normal Distribution and StatCrunch
- Sketch Areas under the Normal Distribution with StatCrunch
- Find Cut-off Values with the Normal Distribution and StatCrunch
- Find Quartiles with the Normal Distribution and StatCrunch
- Understand and Use the Central Limit Theorem with StatCrunch
- Construct Confidence Intervals for the Population Proportion or Population Percentage using StatCrunch
- Find the Sample Size Needed to Estimate a Population Proportion or Percentage using StatCrunch
- Construct Confidence Intervals for the Population Mean using Z and StatCrunch
- Construct Confidence Intervals for the Population mean using T and StatCrunch
- Find the Sample Size needed to Estimate a Population Mean with StatCrunch
- Construct Confidence Intervals for Two Population Means using StatCrunch
- Construct Confidence Intervals for Two Population Proportions using StatCrunch
- Perform a Full Hypothesis Test for a Population Proportion or Percentage with StatCrunch
- Perform a Full Hypothesis Test for a Population Mean with StatCrunch
- Perform a Full Hypothesis Test for Two Population Means with StatCrunch
- Perform a Full Hypothesis Test for Two Population Proportions with StatCrunch
- Perform a Full Hypothesis Test for Dependent Data with StatCrunch
- How to Compute P-Values, Test Statistics, and Critical Values for Various Hypothesis Tests with StatCrunch
- Understand the Basics of Linear Correlation and What it Means Intuitively
- Understand what the Linear Correlation Coefficient Actually Means and Represents
- How to Determine if there is a Linear Correlation Both Mathematically and Graphically
- How to Compute the Linear Correlation Coefficient and Coefficient of Determination using StatCrunch
- How to Compute the Least Squares Line(Regression Line) using StatCrunch
- How to Make Predictions when there is a Linear Correlation using StatCrunch
- How to Make Predictions when there is not a Linear Correlation using StatCrunch

## Requirements

- Must have StatCrunch or Purchase Access to StatCrunch

## Description

**This is a complete college level course in Statistics which uses StatCrunch.**

******In order to fully benefit from this course, you must have access to StatCrunch.*****

**If you are currently taking Statistics using StatCrunch or plan to take Statistics in College using StatCrunch, then this is the PERFECT COURSE!!!**

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Eventually you should be able to do the problems before I do them. Try! Keep watching until you can do the problems on your own:)

3) Repeat!

If you finish even 50% of this course you will know A LOT of Statistics and more importantly your Statistics skills will improve a ton!

Statistics is an awesome class because it gives you real life examples of how mathematics is used. This is really the ideal course for anyone who wants to learn Statistics and already has StatCrunch or is willing to get it.

I hope you enjoy watching these videos and working through these problems as much as I have:)

## Who this course is for:

- Anyone Currently Taking a Course using StatCrunch
- Anyone who wants to Learn Statistics using StatCrunch(must have StatCrunch)

## Instructor

I was born on a small unnamed Island in the Pacific Ocean inhabited mostly by natives who practiced mathematics on a daily basis.

My mother was a witch who specialized in Calculus and my father was a warlock who was well versed in the dark arts of Algebra.

As I grew older so did my thirst for knowledge, and so I set out on a long voyage to improve my mathematical skills. I traveled the world for years and learned a great deal of mathematics, but it wasn't until I met that raging Hobbit that my true powers started to show.

I am here today to share my magical powers with you.

Come join on me on this journey as we explore the world of mathematics together.