Construct a sample

Question

Construct a sample (with at least two different values in the set) 5 of measurements whose median is larger than all the members in the sample. If this is not possible, indicate "Cannot create sample".

Answer 1

Unless the condition of "median is larger" is changed to "medium is equal to or larger", such a sample can't be created. The condition that the median is larger than all other members implies not only the the median is the maximum value (which can happen), but that it is the ONLY value at that level. If that's true, it's not the median.