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A=r mod z R= a relation which is reflexive symmetric but not transitive

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A=r mod z R= a relation which is reflexive symmetric but not transitive

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No, it could be another asymmetric relation.

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In a symmetric distribution, the mean and the median are the same. Otherwise there is no relation. In symmetric distributions with only one mode, the mode will coincide with the mean and median, but otherwise there is no relation.

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No, it is not.

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A relation ~ is symmetric if

X ~ Y if and only if Y ~ X.


This may seem trivial, but it is easy to see that "is less than" or "is a factor of" are not symmetric.

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