Statistical questions and distributions

A statistical question expects a variety of answers, like 'how old are the students in my school?', and the collected answers form a distribution that can be shown with a dot plot, histogram, or box plot: for example, ages of 6, 7, 7, 8, 9, 10, and 11 have a mean of (6+7+7+8+9+10+11) / 7 = 58 / 7, about 8.3. To summarize a distribution, you describe its center (using the mean or median) and how spread out it is (using measures like the interquartile range or mean absolute deviation).

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