choose 5, 10, 100 as the most reasonable interval for 5,16,20,11,15
To choose the most reasonable interval for a given set of numbers, you can calculate the range and then select intervals that cover this range in a reasonable manner. Let's apply this to the set of numbers provided: 5, 16, 20, 11, 15.
1. Calculate the range of the numbers:
- Range = Maximum value - Minimum value
- Maximum value = 20
- Minimum value = 5
- Range = 20 - 5 = 15
2. Identify reasonable intervals based on the range:
- Since the range is 15, it would be reasonable to have intervals that cover a similar range or smaller. So, we can consider intervals of 5, 10, and 100.
3. Evaluate the intervals:
- Interval of 5: This interval would provide a more detailed view of the data but might result in a large number of intervals.
- Interval of 10: This interval could give a slightly broader view of the data while still showing some detail.
- Interval of 100: This interval would provide a much broader view of the data and might not show much detail.
Based on these evaluations, it is reasonable to choose the intervals of 5, 10, and 100 for the set of numbers 5, 16, 20, 11, 15.