Statistics is the science of collecting, organizing, describing and making decisions with data. Deciding things like the type of variable being studied to whether or not a study provides evidence a medicine works are all covered in statistics courses. The lessons below review these important topics.
Summarizing Data with Tables and Plots
Histograms
- Making Frequency Distributions and Histograms by Hand
- How to Read a Histogram
- Histograms on the TI83 and 84 Graphing Calculator
- Common shapes of distributions
Dotplots
Stemplots
Boxplots
Two way tables
Scatterplots
Summarizing Data with Numbers
Measures of Center
- Calculating the mean (includes using the formula and using a TI84 or TI83 calculator)
- Calculating the mean in minitab
- Finding and Understanding the Median (includes: excel, graphing calculator, and by hand)
Measures of Variation
- Finding the Standard Deviation and the Variance on a Graphing Calculator
- Finding and interpreting the z-score
Counting and Probability
Introduction
- Counting with the multiplication rule
- Probability terminology
- What is a sample space?
- Conditional probability
- Finding “and” probabilities
Binomial distributions
- How to determine if an experiment is binomial
- Using the TI 83 or 84 to find binomial probabilities
- Binomial probabilities examples
Confidence Intervals
- Calculating Confidence Intervals for Means By Hand
- Calculating Confidence Intervals for Proportions By Hand
- Using a Graphing Calculator to Find Confidence Intervals for Means
- Interpreting Confidence Intervals
- Three Ways to Write a Confidence Interval
Hypothesis Testing
- Using the NFL to Understand Hypothesis Testing
- What is a p-value?
- t-test for the mean on a TI83 or TI84 calculator (p-value method)