What is a range of an attribute in data mining?
The range of the attribute is the interval where the values of the attribute varies. For Real numbers, is the closed interval [min,max].

For example, for an attribute $A$ with values $\{0.1, 0.5 , 1 , 10 , 100\}$ the range is the interval $[0.1,100]$

The concept is also valid for Integers, however there are no widely know notation to describe that. Ways of describing it would be:

$i = 1,...,10$

or 

$(i \in \mathbb{Z}) \wedge (i \in [0,10])$