# Is "A pair of dice is rolled, and the sum to appear on the dice is recorded" continuous or discrete data? Why?

Aug 13, 2017

It is a discrete variable. See explanation.

#### Explanation:

Data are discrete if they can have one of finitely many values.

A sum of a pair of dice can be:

$x \in \left\{2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12\right\}$

The set of values is finite (11 elements), so the data are discrete.