To determine how the range of the set would change if the number 83 is replaced by 66, we first need to understand what the range is.
The range of a set of numbers is calculated by subtracting the smallest number from the largest number in the set.
Let's examine the original set:
- The numbers given are: 5, 3, 1, 4, 8, 3, 5, 7, 4, 0, 7, 9, 3, 2, 1, 2.
- The maximum number in this set is 9.
- The minimum number in this set is 0.
Thus, the original range is: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 9 - 0 = 9. \]
Now let's consider if we replace 83 with 66. The maximum number in the set remains 9, and the minimum number remains 0. Since neither the maximum nor minimum values change, the range will also remain the same.
So, the answer is: no change.