Question

Look at this set of 9 numbers:
55 71 84 40 34 98 26 98 74
How would the range change if the number 91 were added to the set?
increase,decrease.no change

Answer 1

To determine how the range changes with the addition of the number 91 to the existing set of numbers, we first need to find the current range of the original set.

1. **Identify the original set**:
55, 71, 84, 40, 34, 98, 26, 98, 74

2. **Find the minimum and maximum values in the original set**:
- Minimum = 26
- Maximum = 98

3. **Calculate the current range**:
Range = Maximum - Minimum
Range = 98 - 26 = 72

4. **Add the new number (91) to the set**:
The new set becomes:
55, 71, 84, 40, 34, 98, 26, 98, 74, 91

5. **Find the new minimum and maximum values**:
- Minimum = 26 (remains unchanged)
- Maximum = 98 (remains unchanged)

6. **Calculate the new range**:
Range = Maximum - Minimum
Range = 98 - 26 = 72

Since the maximum and minimum values have not changed, the range remains the same.

**Conclusion**: The range does not change when the number 91 is added to the set.