Final answer:
To create a set of five whole numbers from 1 to 20 that have the same mean, median, and range, you need to find five numbers that are evenly spaced.
Step-by-step explanation:
To create a set of five whole numbers from 1 to 20 that have the same mean, median, and range, we need to find five numbers that are evenly spaced. We can start from the smallest value which is 1 and count up by the range between each number. The range in this case is 4 since the difference between each number would be 4 (20-1=19, which is the total range, divided by 4 equal intervals).
So, the set of numbers will be: 1, 5, 9, 13, 17. The mean, median, and range for this set will all be the same.