Answer :
The most appropriate intervals for a histogram displaying the mileage ratings are: 0-20, 20-40, 40-60. Therefore, option 2) 0-20, 20-40, 40-60 is correct answer.
Data Range:
The frequencies cover a range from 0 to 50 mpg.
Number of Intervals:
Having fewer intervals (3) will create wider bars and prevent clumping, making the distribution easier to visualize.
Equal Width:
The provided intervals in option 2 are of equal width (20 mpg), simplifying analysis and comparison.
Frequency Distribution:
Option 2 captures the key variations in frequency while avoiding too many intervals with low counts.
Option 1 is too narrow for the data range, and option 3 has too many intervals for the overall frequency distribution.
Option 4 has uneven intervals and doesn't effectively represent the data.
Therefore, option 2 (0-20, 20-40, 40-60) is the most appropriate choice for creating a clear and informative histogram representing the mileage ratings.
Question
Which intervals are most appropriate for a histogram displaying the mileage ratings?
1) 0-15, 15-30, 30-45
2) 0-20, 20-40, 40-60
3) 10-15, 15-20, 20-25, 25-30, 30-35
4) 0-5, 5-10, 10-15, 15-20, 25-25, 25-30
Class interval; 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40
Frequency; 30 98 80 58 29 50
