make up a set of at least twelve numbers that have the following landmarks maximum 8 mode 6 range 6 median 5

Answer 1

You know that the sets of numbers have to range from 2 to 8 to satisfy the max and range requirements.

Half of them must be greater than 5 and half must be less than 5.

6 must occur most frequently.

So, starting with a small set, we could start out with

2 5 6 6 8

Since there are 3 numbers greater than 5, we must have 3 less than 5. The easiest way to do that would be just

2 3 4 5 6 6 8

Now, you can easily set up other starting arrangements, using different quantities of numbers. (and they don't have to be integers, either)

2 3 3 4 4 5 5 6 6 6 7 8
...