To find the variance from the standard deviation, we use the relationship between them:

$\text{Variance} = (\text{Standard Deviation})^2$

Given that the standard deviation is $12.5924 \, \text{kg}$, we can compute the variance as:

$\text{Variance} = (12.5924)^2 \, \text{kg}^2$

Let's calculate the result.The variance of the sample data is approximately $158.5685 \, \text{kg}^2$ (rounded to four decimal places).

Would you like more details or have any further questions?

Here are some related questions for deeper exploration:

1. What is the formula for calculating variance from a sample set of data?
2. How does variance differ from standard deviation in terms of interpretation?
3. How would you calculate variance if you had the raw data for the weights?
4. Why is variance reported in squared units?
5. What is the role of variance in determining data dispersion?

Tip: The variance gives a sense of how spread out data points are from the mean, while the standard deviation gives a more intuitive measure of spread in the same units as the data.