Question
Measurements: 24.9, 25.2, 25.1, 24.8
True Value: 25.0
These measurements are…
True Value: 25.0
These measurements are…
Answers
GPT-4o mini
To assess these measurements in relation to the true value and each other, we can analyze accuracy and precision.
1. **Accuracy**: This refers to how close the measurements are to the true value. Here, the true value is 25.0.
- The measurements are: 24.9, 25.2, 25.1, and 24.8.
- The differences from the true value are:
- 24.9 - 25.0 = -0.1
- 25.2 - 25.0 = 0.2
- 25.1 - 25.0 = 0.1
- 24.8 - 25.0 = -0.2
- The measurements are close to the true value, so they can be considered relatively accurate.
2. **Precision**: This refers to the consistency of the measurements, regardless of their closeness to the true value.
- The range of the measurements: Max = 25.2, Min = 24.8, Range = 25.2 - 24.8 = 0.4.
- The measurements are fairly close to one another, suggesting that they are somewhat precise.
**Conclusion**: These measurements are relatively **accurate** (as they are close to the true value of 25.0) and show **moderate precision** (as they vary within a small range).
1. **Accuracy**: This refers to how close the measurements are to the true value. Here, the true value is 25.0.
- The measurements are: 24.9, 25.2, 25.1, and 24.8.
- The differences from the true value are:
- 24.9 - 25.0 = -0.1
- 25.2 - 25.0 = 0.2
- 25.1 - 25.0 = 0.1
- 24.8 - 25.0 = -0.2
- The measurements are close to the true value, so they can be considered relatively accurate.
2. **Precision**: This refers to the consistency of the measurements, regardless of their closeness to the true value.
- The range of the measurements: Max = 25.2, Min = 24.8, Range = 25.2 - 24.8 = 0.4.
- The measurements are fairly close to one another, suggesting that they are somewhat precise.
**Conclusion**: These measurements are relatively **accurate** (as they are close to the true value of 25.0) and show **moderate precision** (as they vary within a small range).