Question

From the rest below;
Trial 1 volume of water measured is 37.19ml, trial 2 volume of water is 38.23ml, trial 3 volume of water measured is 37.43ml and the mean measured from 3 trials is 37.62.
Their standard deviation is 0.545 and R.S.D is 1.4487, calculate the error

Answer 1

To calculate the error based on the provided data, we can determine the absolute error and the relative error using the standard deviation (RSD). Here’s how to do it step by step:

1. **Mean**: The mean volume of water measured from the trials is given as 37.62 ml.

2. **Standard Deviation**: The standard deviation is provided as 0.545 ml.

3. **Relative Standard Deviation (RSD)**: RSD is calculated as:

\[
\text{RSD} = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100
\]

In this case, the RSD is provided as 1.4487%.

4. **Error Calculation**:
- The absolute error is effectively the standard deviation, which indicates how much individual trial measurements deviate from the mean.
- The relative error can be viewed as the RSD expressed in percentage form.

### Absolute Error:
- Absolute error = Standard Deviation = 0.545 ml

### Relative Error:
- Relative error = RSD = 1.4487%

### Summary:
- Absolute error (Standard deviation): **0.545 ml**
- Relative error (RSD): **1.4487%**

If you wanted further analysis or a different type of error calculation (like maximum possible error), please specify!