Statistics & Probability Worksheets

Topic or Concept
Handouts & Worksheets
Solutions (if available)
Complete notes for a summary of various beginner statistics topics Data & Chance Reading Notes  
Questions for class to answer in order to compare to overall University sample Introduction to statistics  
Assorted practice problems covering probability, permutations, two-way tables, Venn diagrams, tree diagrams, and standard deviation and variance Practice Probability Problems  
Various examples for and explanation of the fundamental counting principle Fundamental counting principal  
PowerPoint 2003 file of class notes for basic probability Probability PowerPoint, class notes  
Introduction to teaching probability based on class notes above Probability Introduction  
Opportunity to do a few experiements using the appropriate terminology Probability Experiment  
Use an online applet to simulate the tossing of a coin Probability Applet Activity  
Understand the important distinction between the events "A or B" and "A and B" The difference between OR and AND  
Many problems involving the event "A or B" Counting problems involving "OR" (This works on finding the number of successes, not probabilities.)  
Perform an experiment to validate the addition rule of probability, P(A or B) = P(A) + P(B) - P(A and B) Addition Rule  
A picture of a roulette wheel, sometimes used in probability problems Roulette wheel picture  
Complete discussion and practice problems for permutations and combinations Permutations and combinations  
Follow-up worksheet to the above document asking students to evaluate potential permutation and combination problems Permutations and combinations Follow-up  
Many various probability problems for practice Comprehensive probability worksheet  
Practice problems

Probability questions

Probability questions Solutions (called Solutions to practice probability ditto)
Exploration of mutually exclusive and independent events Mutually exclusive and independent events  
Practice problems with exploration for addition rules and multiplication rules Probability worksheet 2 Solutions to Probability worksheet 2: Questions 5 through 10
Practice for simple event probability problems followed by more complicated problems using the four rules from the above worksheet Probability worksheet 3 Solutions to Probability worksheet 3
  Exploration of independence concerning #10 on Probability worksheet 3  
Guided practice for counting problems and finding probabilities with combinations Probability and Combinatorics Worksheet  
Uses random number table to simulate probability experiments Simulation of probability (You will need a separate random number table.)  
Quick problem finding the expected value (mean) for a binomial distribution DoThis activity: Expected value of dart throw  
Find expected value for a probability distribution Expected value of a lottery ticket  
Find and analyze data display on the internet (mostly outdated list of Web sites) Online statistics activity  
Examples and a discussion of bad statistics Do the numbers make sense?  
Obtain and discuss an example of bad statistics DoThis Chapter 10  
Create examples of a pie chart, bar graph, line graph, histogram, stem-and-leaf plot, and data table; also investigate concepts of outliers and scale manipulation Data displays  
Investigates in detail pie charts, stem-and-leaf plots, and line graphs Data displays 2  
Investigate what standard deviation tells you about a set of numbers Comparison of two data sets with same mean  
Investigate how an outlier affects the mean, standard deviation, median, and quartiles of a set of data Effect of an outlier  
Use Excel to explore range and standard deviation Range versus standard deviation
Excel worksheet that accompanies above worksheet Range versus standard deviation Excel worksheet  
Investigate the idea of regression and what the equation tells us; uses Minitab (version circa 2004) to calculate equation Understanding regression  
Discusses the idea of regression and the correlation coefficient Correlation PowerPoint  
Practice assigning realistic values of correlation to scatter plots

Regression and correlation

Uses online applet to investigate linear regression and correlation coefficients; select Correlation and Regression Demo" instead of "Correlation / Regression" as stated in the worksheet Correlation and regression applet activity  
Introduction example of a random sample Sampling from a population  
Discusses the questions you should ask to analyze a sample Sampling questions  
Example of a voluntary sample that elicits a discussion of bad sampling methods Bad sampling  
Discussion of explanatory, response, and lurking variables using a study on hip fractures Variables  
Uses multiple examples to explore the concept of "statistically significant" results Statistically significant  
Discussion of explanatory, response, and lurking variables and their impact on statistical significance Variables and statistically significant 2  
Discusses validity, reliability, and accuracy Valid and invalid measures  
Discusses how lurking variables creates Simpson's paradox Simpson's paradox: Does smoking improve survival?  
Introduces and practices the idea of normal distributions

Normal distribution

Continues the above worksheet with more practice Next day (continuation of Normal distribution)  
Practice normal distribution problems Normal distribution practice  
Practice normal distribution problems Normal distribution practice 2  
Practice problems using a two-digit normal distribution table; includes the table too Normal distribution worksheet: Using the two-digit table  
Practice normal distribution problems Normal distribution practice 3  
Compare the sizes of confidence intervals as the sample size increases Confidence intervals and the sample size  
Discusses how some confidence intervals will not contain the population parameter Sample means and confidence intervals  
Completed examples of finding confidence intervals for means and proportions Confidence intervals for means and proportions  
Practice finding confidence intervals for means and proportions Confidence intervals practice  
Discusses conclusion you can make from non-overlapping confidence intervals Confidence intervals and overlap  
Investigate the effect the confidence level (99%, 95%, 90%, etc.) has on the length of the interval Confidence level and interval length  
Introduces the idea of hypothesis testing using normal distributions Hypothesis testing  
Guided practice for hypothesis testing One-sided and two-sided hypothesis tests