Half the world's people are below average, true or false?

[humpty dumpty]

General statement: Half the given sets in a sample are always below average, true or false?

Mathematically prove it to be true and/or false.

[S.A.M.]

Half the world's people are below average, true or false?

This statement is False.
More than half are below average.

General statement: Half the given sets in a sample are always below average, true or false?

Mathematically prove it to be true and/or false.

This statement is also False.

Example: a set of numbers {1, 4, 100, 100, 100}
the average is 61 and only 2 of the 5 numbers are less than the average. (40%)

[Apod]

you're cute.

holler?

[YAX]

General statement: Half the given sets in a sample are always below average, true or false?

Mathematically prove it to be true and/or false.

  That's false.  Consider the the simple case of a set of 1 element only.

[humpty dumpty]

This statement is False.
More than half are below average.


This statement is also False.

Example: a set of numbers {1, 4, 100, 100, 100}
the average is 61 and only 2 of the 5 numbers are less than the average. (40%)

Correct, although when it comes to people it depends on what one defines as average.

[lifemystery]

General statement: Half the given sets in a sample are always below average, true or false?

Mathematically prove it to be true and/or false.

Sources:....

[humpty dumpty]

Sources:....

Sources? The title was simply an attention grabber.

S.A.M. already proved the statement false.

The only time half the set of samples is below average is in an example like this: 2 2 2 10 10 10, average is 6 and half in this sample are below average.

But because the general statement was based on an "always" assumption it was proven false by S.A.M.

[Mr. Complicated]

God, my math is so rusty!  Been years since I’ve work a math problem, but I’ll go with 99% True.  The 1 % false, is reserved for when all the given sets in a sample are the same. 

Sorry, can’t give you a real proof, but I think since I’m not going to get graded on this, using numbers will do.

Consider these simple sets in a sample are 1, 1, 1, 2.  The average is 1.25, which more than half the given set is below the average…or 1, 2, 3, 4.  The average is 2.5, which more than half the given set is below the average.

Don’t ask me how to work these out into a proof, w/ x, y and z’s.  Cuz I forgot…lol.

 

Now, in regard's to half the world's people are below average....thi s is debatable.
In regards to half of any given sample, is below average, this is 99% true.