Question
The frequency table below will be used to make a histogram.
Test Score
Number of Students
1 - 10
1
11 - 20
0
21 - 30
1
31 - 40
1
41 - 50
2
51 - 60
4
61 - 70
6
71 - 80
11
81 - 90
5
91 - 100
4
What is an appropriate scale and interval for this histogram?
The scale should be 0 - 10, and the interval should be 10.
The scale should be 0 - 15, and the interval should be 5.
The scale should be 1 - 10, and the interval should be 5.
The scale should be 1 - 15, and the interval should be 10.
Test Score
Number of Students
1 - 10
1
11 - 20
0
21 - 30
1
31 - 40
1
41 - 50
2
51 - 60
4
61 - 70
6
71 - 80
11
81 - 90
5
91 - 100
4
What is an appropriate scale and interval for this histogram?
The scale should be 0 - 10, and the interval should be 10.
The scale should be 0 - 15, and the interval should be 5.
The scale should be 1 - 10, and the interval should be 5.
The scale should be 1 - 15, and the interval should be 10.
Answers
GPT-4o mini
To create a histogram based on the given frequency table, we need to consider the maximum number of students in any score range. The highest frequency in your data is 11 (for the score range 71 - 80).
To choose the appropriate scale and interval for the histogram:
1. **Identify the range of the frequency**:
- The highest number of students is 11. Therefore, the height of the histogram bars should accommodate this maximum value.
2. **Choose a scale**:
- Given that the maximum frequency is 11, a suitable scale could be from 0 to at least 12 or 15.
3. **Intervals**:
- Each score range covers a width of 10. For frequency, an interval of 5 may be too granular, as the maximum frequency is only 11. An interval of 10 could work well since it keeps the histogram clear without overwhelming detail.
Considering these points, the most appropriate choice based on the options would likely be:
**The scale should be 0 - 15, and the interval should be 5**.
This choice allows all the bars to be easily represented without consideration of very small intervals, while the scale accommodates all frequencies comfortably.
To choose the appropriate scale and interval for the histogram:
1. **Identify the range of the frequency**:
- The highest number of students is 11. Therefore, the height of the histogram bars should accommodate this maximum value.
2. **Choose a scale**:
- Given that the maximum frequency is 11, a suitable scale could be from 0 to at least 12 or 15.
3. **Intervals**:
- Each score range covers a width of 10. For frequency, an interval of 5 may be too granular, as the maximum frequency is only 11. An interval of 10 could work well since it keeps the histogram clear without overwhelming detail.
Considering these points, the most appropriate choice based on the options would likely be:
**The scale should be 0 - 15, and the interval should be 5**.
This choice allows all the bars to be easily represented without consideration of very small intervals, while the scale accommodates all frequencies comfortably.