question archive A statistician had one foot in a bucket of ice water and one foot in a bucket of boiling water

A statistician had one foot in a bucket of ice water and one foot in a bucket of boiling water

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A statistician had one foot in a bucket of ice water and one foot in a bucket of boiling water. He said, "My feet feel great, on the average." He meant that the average temperature of the water in the two buckets was comfortable. This may be true, but the average temperature doesn't tell the entire story. What other measures of the temperature data would be useful in describing the statistician's situation, and why is it useful?

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