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Not a lot. Many textbooks suggest that if the mean is less than the median the distribution is positively skewed or skewed to the right.

But, this is not necessarily true and the rule of thumb is often broken. See article by Paul T. von Hippel, Journal of Statistics Education, Volume 13, Number 2 (2005).

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You would have a skewed distribution. You would have a lot of higher results bunched up and fewer low results, but the lower results would be much lower, bringing the mean average down.

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Q: When mean is less than median?
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