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There’s something called a five number summary in statistics: mean, median, standard deviation, 25th percentile and 75th percentile.

The bonus is that the 75th - 50th gives you the interquartile range.

Mean is not a robust measure and as such you need to look at variety to truly understand the spread of your data.

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If you're going to use multiple quantities to summarize a distribution, wouldn't using percentiles for all of them give you the most information? The mean and standard deviation could then be estimated from that data.

IQR is 75th - 25th, aka, the middle-50%

Ok this, box plots are a good way to visualize and show distribution esp to a not so stat heavy audience.

You’re right I mistyped.

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