First, we have to think that the weights of the people with these characteristics will be people with certain athletic conditions and some few maybe do not have that condition. Then, in both cases, the people going to the ice rink to figure skaters in the morning, and the hockey players in the afternoon:
• The distributions will have one peak. There will not be a remarkable variation among people to have two peaks ( the central tendency measures will be one: one mode, one mean, and one median).
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• Since the central tendency measures will be similar, the distribution must be symmetric. The difference among the mode, mean, and median must be small.
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• The variation of the distribution measured by the range, standard deviation, or variance will be from small to moderate, or better, small, since both populations must be similar in their weights.