For a sample of 5 numbers, a, b, c, d and e the median is the value that lies in the middle when the numbers are arranged in ascending or descending order and the mode is the value that is repeated most often.

The set of numbers should have a mode greater than 16 but the median should be less than 10.

If only two of the numbers is the same and equal to 17, the mode of the set of numbers is greater than 16. Let the numbers in ascending order be a, b, c, 17, 17. As the median is less than 10, c can take any value less than 10. A sample satisfying the given constraints is 2, 3, 10, 17, 17.

**One sample of at least 5 numbers with mode greater than 16 and median less than 10 is {2, 3, 10, 17, 17}**

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