Shoe sizes, for example, can include half-sizes such as
7, 7.5, 8, 8.5, and
9. Shoe Sizes{7,7.5,8,8.5,9}
This provides more options for people to find a better fit. Another example can be a grading system where students can receive scores that include half-points.
Scores in a Specific Grading System{0,0.5,1,1.5,2,2.5,3,3.5,4,4.5,5}
The scores are still discrete because they are specific and separate values. Each score is distinct from the others and there are no values between them. Therefore, in the context of shoe sizes and grading systems, discrete quantities can indeed be fractions or decimal numbers.