Posted by rachel on Friday, August 31, 2012 at 9:19pm.
suppose a data set has n elements with n greater than or equal to 6. as you know, if n is even, then the median of the set does not have to be an element of the set. for what values of n does the first quartile not have to be an element of the set?

math  David Q/R, Saturday, September 1, 2012 at 4:44am
The answer is any number that isn't one of the following: 7, 11, 15, 19 etc, that is, any integer that can't be expressed in the form (4k1) for k greater than or equal to 2 (as you've said that n has to be greater than or equal to 6). Having said that, I'd have enormous difficulty proving it!
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