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28 Jan 2012, 14:31
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If I fix the values of standard deviation and mean, is it true that we can get only set that satisfies this condition?
Simply put, is it possible that two sets may have the same standard deviation and mean?
Simply put, is it possible that two sets may have the same standard deviation and mean?
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28 Jan 2012, 15:04
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bsaikrishna
Below two different sets have the same SD and mean:
The SD of {-1, 0, 1} is \(\sqrt{\frac{2}{3}}\) and mean is 0;
The SD of {\(-\sqrt{\frac{4}{3}}\), 0, 0, \(\sqrt{\frac{4}{3}}\)} is \(\sqrt{\frac{2}{3}}\) and mean is 0.
Please read this: statistics-126672.html#p1035732
Hope it helps.
28 Jan 2012, 15:08
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I guess it is not so.
The following two sets have the same mean and the same deviation.
[9,10,10,10,11]
[9,9,10,10,10,10,10,10,11,11]
Does this mean if I say: given a mean, a standard deviation, and fixed number of elements, one can get only one set satisfying those values?
The following two sets have the same mean and the same deviation.
[9,10,10,10,11]
[9,9,10,10,10,10,10,10,11,11]
Does this mean if I say: given a mean, a standard deviation, and fixed number of elements, one can get only one set satisfying those values?
