Answer :
In order to stretch their number range further into the galaxy, Aiden, Priya, and Evelyn have a few options to consider:
1. **Multiplying each data value by 2**: If they multiply each number in their set {16, 20, 28, 40, 45} by 2, the numbers would become {32, 40, 56, 80, 90}. This action would indeed expand the range of their numbers by doubling each value, making the range from 32 to 90, which is significantly larger than the original range of 16 to 45.
2. **Adding 5 to each data value**: By adding 5 to each number in their set, the numbers would become {21, 25, 33, 45, 50}. This action would also increase the range of their numbers. However, this method might not stretch the range as much as multiplying each value by 2, as the differences between the numbers would remain the same.
3. **Adding a new challenger to the game**: Introducing a new number, such as 45, to the existing set {16, 20, 28, 40, 45} wouldn't necessarily stretch the range further into the galaxy. It would just expand the set to include one more number without significantly impacting the overall range of the numbers.
4. **Removing the smallest number, 16**: If they remove the smallest number, 16, from the set, the new set would be {20, 28, 40, 45}. This action would slightly increase the range by eliminating the smallest value but might not have as dramatic of an impact as the other options mentioned above.
