With your partner, sort the histograms into two piles: approximately symmetrical and definitely not symmetrical. Then, follow the prompts and respond to the questions below.
Symmetrical Histograms
Put your asymmetrical cards aside (or back in their envelope).
1 List out the letters of the histograms that were symmetrical:
2 Sort the symmetrical cards into two or three logical groups. Hint: It may be useful to think about peaks, gaps, clusters, center, and spread! What do the cards in your first group have in common?
3 What do the cards in your second group have in common? (Describe your third group as well, if you have a third group.)
4 Can you think of a different way of grouping these histograms? Explain.
5 Describe how you can determine what’s typical of a symmetrical histogram.
Asymmetrical Histograms
Put the symmetrical histograms away, and take out the asymmetrical histograms.
6 List out the letters of the histograms that were asymmetrical:
7 Sort the asymmetrical histograms into two or three logical groups. What do the cards in your first group have in common?
8 What do the cards in your second group have in common? (Describe your third group as well, if you have a third group.)
9 Can you think of a different way of grouping these histograms?
10 Describe how you can determine where the outliers are on an asymmetrical histogram.
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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