Look at this set of 6 numbers: By how much would the range increase if the number 2 replaced one of the 1 's in the set? Submit

The original set of numbers (assuming it has two '1's and four other numbers) has a certain range defined by the largest and smallest numbers. If the smallest '1' is replaced by a '2', the new smallest number remains '1', while the highest number stays the same if it’s greater than '2'. However, if the highest number was '1', then it would become '2' after the substitution. This could increase the range depending on the other numbers involved. Specifically, if the highest number remains the same and is more than '2', the range doesn't change. If we take the numbers back to basic principles, the range is calculated as \( \text{max} - \text{min} \). If the highest number in the original set was, say, '3', the range was '3 - 1 = 2', and replacing '1' with '2' doesn't change the range. But if the highest number was a '1', the new range would be '2 - 1 = 1', which represents a decrease. The investigation of this number set is crucial, as understanding the impact of specific substitutions makes all the difference!