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There is a famous example of a collection of datasets with similar summary statistics like mean, standard deviation etc., whose visual appearances are totally different. It is named after the famous statistician who produced it.

Can someone point me to this? I tried googling this but could not get relevant results due to generic search terms.

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You must be thinking of Anscombe's quartet.

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  • $\begingroup$ YES!! Exactly right. $\endgroup$ – raco Mar 13 '15 at 14:56
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Anscombe quartet is the name (as said before), and its standard plots are below.

enter image description here

It was constructed in from Graphs in Statistical Analysis, The American Statistician, 1973. Since then, there have been attemps to reproduce or generalize it on a broader extend, for instance:

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