I use this project to help introduce students to the four randomization-based sampling methods: Simple Random Sample, Stratified, Cluster, and Systematic. Each group gets 120 "people" that they must use on a poster to illustrate their assigned sampling method. After they use randomization to select a sample of size n > =30, they compare their sample to the 120 person population to see how well their sample represents the population distribution.
I use this project to solidify and assess student's ability to describe and display quantitative data. Students choose whether or not to collect their own data. If they decide not to, I give them one of these data sets. Once they have data, they display it in four different ways: Boxplot, Dotplot, Histogram, and Stem & Leaf. This helps them compare how the same data looks in different graphical forms. Then, based on each display, they describe the distribution (shape, center, spread, unusual
I use this project as a culmination of my statistics course. It includes sampling methods and inference (confidence interval and hypothesis test). The project progresses at short intervals with different steps having different due dates along the way. I utilize a live/shared google doc and google sheet with each group to comment on their work electronically and update their process. You could just as easily have periodic progress checks in your class with physical components. This is a Word doc
I use this project to solidify and assess student's understand of probability. Students either select an existing board/card game or create their own. They then calculate several probabilities based on events in the game: Or, And, Given, display a chart, Expected Value, SD of the Expected Value, Independent/Non-Independent Events, and Disjoint/Non-Disjoint Events. These calculations go into a poster or slideshow. On presentation day, students teach and guide us through playing a couple rounds/t