Wednesday, December 30, 2009

What is a mathematical way of grouping these numbers?

Is there a mathematical way of grouping the numbers:





27 4 16 13 1 8 19 125 23





It isn't:





odds and evens


over 100 and under 100


prime and not prime


squared or not squared


single, double ot triple digit





there has to be three groups, and IT HAS TO BE MATHEMATICAL.





please helpWhat is a mathematical way of grouping these numbers?
8 27 125 are cubes of integers





4 16 are squares of integers





13 19 23 are prime numbers





1 could go into either the cubes or squares.What is a mathematical way of grouping these numbers?
My only guess is a combination of the suggestions you said they are not: prime, square and cube (in other words, x鹿, x虏, x鲁)





Primes: 13, 19, 23


Squares: 1, 4, 16


Cubes: 8, 27, 125





I have no other idea.
How about sequentially from lowest to highest?





1 4 8 13 16 19 23 27 125





Now you can find the median value, 16. There are other statistical operations you can perform once in this sequence.





The average is 26.22222222...





ProfRay
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