How is named the "length" of range from a random variable?

Asked Dec 12 '19 at 11:36

Active Dec 12 '19 at 11:36

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I have a random variable, lets name it A. Then the range of this variable can be calculated as follows:

r(A) = (min(A),max(A));

Given this conditions what would be the name of the "length" of that range.

Here I understand as "length" the following:

l(A) = |r(A)[1]-r(A)[2]| = max(A)-min(A);

So, how this would be called or how can I express this in a mathematical way?

asked Dec 12 '19 at 11:36

Òscar Raya

How exactly do you define length of the range ? – The Demonix _ Hermit Dec 12 '19 at 11:38
Ass I said I'm defining "length" of the range by max(A)-min(A). I know that's not a good word. Thats why I'm asking. – Òscar Raya Dec 12 '19 at 11:40
2

The difference between max and min value is called "range", see measures of spread. – Conifold Dec 12 '19 at 11:54
1

In fact what you are calling the "range" is rather the support of the random variable, see https://www.statlect.com/glossary/support-of-a-random-variable – Dec 12 '19 at 12:04
Ty @Conifold all sites I've visited expresed the range as support. Didn't knew the difference. – Òscar Raya Dec 12 '19 at 12:08

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