Answer:
Range is difference between the highest and the lowest value in the set. In this example, the lowest value is 42 and the highest is 68. That means the range here is 68-42=26. So, this basically means that the value of the range depends only on the lowest and highest value.
As for the first part of this problem, adding any number that is between the lowest and the highest value won't change the range. So that means you can add any number from 42 to 68 and the range will remain the unchanged.
So, basically, if you want to change the range you need to add a number that is lower then the lowest value, or higher then the highest value. For example, if we add number 35, it will become new lowest value, so the range will now be 68-35=33 (the range increased)
Adding new extremes to the set of data will only increase the range, which means it's not possible to decrease the range.
So, to summarize, if the number is added between the minimum and the maximum, the range will remain the same.
On the other hand, if the number is added above the maximum or below the minimum, the range will increase, it can never decrease.
