Question
For making a scatter plot of the data set, which would be the best scale and interval for the axis that represents the amount of fluoride?
Water (L) 4 2 6 8 6 2 10
Fluoride (mg) 4.5 1.6 2.5 6.8 3.1 0.4 7.1
4 to 10 with intervals of 2
4 to 10 with intervals of 2
0 to 8 with intervals of 4
0 to 8 with intervals of 4
2 to 10 with intervals of 1
2 to 10 with intervals of 1
0 to 8 with intervals of 0.2
Water (L) 4 2 6 8 6 2 10
Fluoride (mg) 4.5 1.6 2.5 6.8 3.1 0.4 7.1
4 to 10 with intervals of 2
4 to 10 with intervals of 2
0 to 8 with intervals of 4
0 to 8 with intervals of 4
2 to 10 with intervals of 1
2 to 10 with intervals of 1
0 to 8 with intervals of 0.2
Answers
GPT-4o mini
To determine the best scale and interval for the axis that represents the amount of fluoride (mg) in your scatter plot, we should consider the range of the data.
The fluoride data points are: 4.5, 1.6, 2.5, 6.8, 3.1, 0.4, and 7.1.
### Analyzing the Data:
- **Minimum fluoride value:** 0.4 mg
- **Maximum fluoride value:** 7.1 mg
### Range:
- The range of the fluoride data is from 0.4 to 7.1 mg.
### Scale Options:
1. **4 to 10 with intervals of 2**
- This would not be suitable, as it does not cover the minimum value (0.4 mg).
2. **0 to 8 with intervals of 4**
- This covers the range but has large intervals (0-4, 4-8) which may not provide detailed insight into the data distribution.
3. **2 to 10 with intervals of 1**
- This misses the lower values needed to capture 0.4 mg.
4. **0 to 8 with intervals of 0.2**
- This includes all values in the range and provides a fine resolution, able to detail smaller changes in fluoride levels.
### Conclusion:
The best option for the axis that represents the amount of fluoride is **0 to 8 with intervals of 0.2**. This scale accurately captures all data points and allows for a detailed analysis of the fluoride levels.
The fluoride data points are: 4.5, 1.6, 2.5, 6.8, 3.1, 0.4, and 7.1.
### Analyzing the Data:
- **Minimum fluoride value:** 0.4 mg
- **Maximum fluoride value:** 7.1 mg
### Range:
- The range of the fluoride data is from 0.4 to 7.1 mg.
### Scale Options:
1. **4 to 10 with intervals of 2**
- This would not be suitable, as it does not cover the minimum value (0.4 mg).
2. **0 to 8 with intervals of 4**
- This covers the range but has large intervals (0-4, 4-8) which may not provide detailed insight into the data distribution.
3. **2 to 10 with intervals of 1**
- This misses the lower values needed to capture 0.4 mg.
4. **0 to 8 with intervals of 0.2**
- This includes all values in the range and provides a fine resolution, able to detail smaller changes in fluoride levels.
### Conclusion:
The best option for the axis that represents the amount of fluoride is **0 to 8 with intervals of 0.2**. This scale accurately captures all data points and allows for a detailed analysis of the fluoride levels.