No, it is discrete.
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No
Typically measurements are continuous variables so a shoe size is a continuous variable since it can be expanded to be more precise. You can generally say that a person wears a size 8 but 7.9 or 7.934567 is more precise, even though US shoe sizes only come in whole or half sizes, you still can be more and more precise in your foot measurement or actual shoe size.
Non-continuous data is called discrete data.
Continuous!
time to learn a song for 4 hours, is this discrete or continuous data set?