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Yes, is a discrete variable.
A continuous number can take any value, such a 1.234, or 3.5, or 10.11. Height is usually a continuous quantity (even though height cannot be negative, it is still continous). Time is also usually considered continuous. Whereas a discrete number must take certain values, such as (1, 1/2, 3, 4, 5 etc. . for shoe sizes) or (1, 2, 3 etc.. for amount of people). Since you cannot get .2 of a person, or -3 pencils or something equally illogical .
Technically it is a continuous variable but sometimes (particularly with people) it is treated as discrete because people think of their age in whole years.
A continuous variable is one that can take any real numerical value. The length of a strip can be anything. A person's height and age can take any real values, within reasonable limits. Whereas, discrete variables will only have values that are whole numbers, like the number of people on a football team, or the number of major planets in the solar system. No star could ever have 5.62 major planets, for example.
These terms are normally used in the context of [statistical] variables. A discrete variable is one which can take only a finite (or countably infinite) number of values. These can be whole numbers but could also be half-units, such as for European shoe sizes, or men's shirt collar sizes. A continuous variable is one which can take any value over a range.In normal use, though, the distinction is sometimes blurred. Time, for example, is normally regarded as continuous but people usually give their ages in whole numbers.