Question

What is the greatest possible error for a measurement of 25 kilograms?
kilograms

Answer 1

To express the greatest possible error for a measurement, we typically define the error in relation to the precision of the measurement. If no specific precision is given, a common approach is to assume a relative error or a certain percentage of the measurement.

Let's consider a few potential scenarios:

1. **If we assume a ±1 kg measurement uncertainty**: The greatest possible error would be ±1 kg. This reflects a typical precision level for a mass measurement of 25 kilograms, leading to a range from 24 kg to 26 kg.

2. **If we consider a more precise measurement, such as ±0.1 kg**: The greatest possible error would then be ±0.1 kg, giving a range from 24.9 kg to 25.1 kg.

3. **If we take a relative error approach**, we might calculate a percentage of the measured value. For example, a 5% error would be ±1.25 kg, which would mean a range from 23.75 kg to 26.25 kg.

4. **If considering the precision of standard scales**, often they can vary by ±0.5 kg, meaning the greatest possible error would be ±0.5 kg.

In summary, without additional context on the precision of the measurement, the greatest possible error could be assumed at:

- ±1 kg (typical assumption)
- ±0.1 kg (for high precision)
- ±0.5 kg (for common scales)

You would need to establish the context of your measurement to choose the most appropriate error range.