This is a very engaging activity that gets all students thinking and talking about the mean, median, mode, range and the shape of distributions. I use this activity the day after covering mean, median, mode, range, and skewed right/left.

Each student chooses an envelope out of 3 color choices. For example, they can choose from yellow, red, or blue envelopes.​

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Each "round" one piece of information is revealed and students are allowed to trade their envelopes with each other with the goal of ending up with the highest number. ​

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The pieces of information they can choose to be revealed are the mean, median, mode, range, and shape of the distribution. ​As more information is revealed they have more opportunities to trade, using the information provided to determine the best color to have at the end.

Check out my Data Displays Card Match to help students make connections between dot plots, histograms, stem and leaf plots, and box plots.