The median number of omelets made by $5$ chefs during a certain Sunday brunch is $13$. The range of number of omelets made by those same chefs during that Sunday brunch is $4$.
**Determine if the following statement is true, is false, or does not contain enough information.**
*If the greatest number of omelets made was $15$, then the fewest omelets made was $11$.*
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