# Continuous or discrete variable

## Types of quantitative variables in mathematics / From Wikipedia, the free encyclopedia

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In mathematics and statistics, a quantitative variable may be **continuous** or **discrete** if they are typically obtained by *measuring* or *counting*, respectively.^{[1]} If it can take on two particular real values such that it can also take on all real values between them (including values that are arbitrarily or infinitesimally close together), the variable is continuous in that interval.^{[2]} If it can take on a value such that there is a non-infinitesimal gap on each side of it containing no values that the variable can take on, then it is discrete around that value.^{[3]} In some contexts a variable can be discrete in some ranges of the number line and continuous in others.