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Distributional Thinking

Distributional thinking involves understanding that data vary, and understanding that pattern of variability is important.
Example: you and a coworker are both asked to design a pamphlet for a new summer program at the community center you work at. Once your designs are completed, you show them to 10 kids in the age range the program targets and ask them what they think.


In blue are the scores your coworker's pamphlet received. Your scores are in orange. Both pamphlets received an average score of 2.9/6. Does that mean they're the same?

Looking at the distributions of scores, we can see that they are not.

Practice: Distributional Thinking

A researcher tells you that two groups of participants each have an average of 65%, but that in group 1 there were 10 people who failed and in group 2 there were no people who failed. From just this description, what can you tell is different between the two groups?