To calculate the standard deviation for the given trials, follow these steps:

Step 1: Calculate the Mean

First, we calculate the mean (average) of the five trials.

$\text{Mean} = \frac{\text{Trial 1} + \text{Trial 2} + \text{Trial 3} + \text{Trial 4} + \text{Trial 5}}{5}$

Step 2: Calculate Each Deviation from the Mean

Next, subtract the mean from each trial to find the deviation for each.

Step 3: Square Each Deviation

Square each of the deviations found in Step 2.

Step 4: Calculate the Variance

The variance is the average of these squared deviations.

$\text{Variance} = \frac{\text{Sum of squared deviations}}{n}$ where $n$ is the number of trials (in this case, 5).

Step 5: Take the Square Root of the Variance

Finally, take the square root of the variance to obtain the standard deviation.

$\text{Standard Deviation} = \sqrt{\text{Variance}}$

Let me calculate the values for you now.The standard deviation of the trials is approximately 63.46 kg/m³.

This value indicates how much the individual trial results deviate, on average, from the mean value.

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Next Steps:

1. Would you like to calculate the mean of these trials?
2. Should we proceed with calculating the percent error for each trial?
3. Do you need help understanding what this standard deviation represents?
4. Are you interested in calculating the variance explicitly?
5. Would you like to compare these results to the accepted value?

Tip: The standard deviation gives insight into the consistency of your measurements. A lower standard deviation means your measurements are more consistent.