Answer:
Let m be the minimum value of original data set.
Given -
- The range of original data set = 84 -m
- A new data set consists of 26 positive integers and 96 original data set.
Therefore, the range of new data set is 96-m.
Now, we can find the difference between two ranges by subtracting the ranges -

Therefore, the range of the new data set must be greater than the range of original data set.