Statistics & Probability Worksheets |
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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 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 |
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| 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 | ||
| 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 | ||
| 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 | |