Timeline for Will two distributions with identical 5-number summaries always have the same shape?

10 events

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Jan 31, 2015 at 23:22	vote	accept	SwiftySwift
Jan 31, 2015 at 20:42	history	edited	Silverfish		add summary statistics tag
Jan 31, 2015 at 11:35	history	tweeted			twitter.com/#!/StackStats/status/561487971531366400
Jan 31, 2015 at 7:46	answer	added	Glen_b		timeline score: 17
Jan 31, 2015 at 2:15	comment	added	Silverfish		Just beware that $U(x,s)$ isn't usually used for the uniform distribution with mean $x$ and standard deviation $s$, but rather for the uniform distribution on the interval that starts at $x$ and ends at $s$. Also the notation $N(x,s)$ is rarely used for the normal distribution (though I've seen some textbooks that do); it's much more common for the second parameter to represent the variance rather than standard deviation.
Jan 31, 2015 at 2:13	comment	added	Silverfish		The answer to this question is in some senses obvious - if we could completely chararacterise any distribution simply by quoting five numbers about it, then all those exams on probability distributions would be a lot easier! But it raises the interesting point of just how much information is missing when we quote the five-number summary or present the data graphically in a box plot.
Jan 31, 2015 at 1:53	answer	added	Silverfish		timeline score: 23
Jan 31, 2015 at 1:01	answer	added	Sven		timeline score: 3
Jan 31, 2015 at 0:42	review	First posts
Jan 31, 2015 at 0:59
Jan 31, 2015 at 0:40	history	asked	SwiftySwift	CC BY-SA 3.0