To calculate the variance of the weights, we use the relationship between standard deviation and variance. Variance is the square of the standard deviation.

Given that the standard deviation is 11.4769 kg, we can compute the variance as follows:

$\text{Variance} = (\text{Standard Deviation})^2$ $\text{Variance} = (11.4769)^2$

Now, let’s compute this.

$\text{Variance} = 11.4769^2 = 131.674 \, \text{kg}^2$

Thus, the variance of their weights is approximately 131.674 kg².

Would you like further details or have any questions?

Here are five related questions:

1. How is variance used in statistics compared to standard deviation?
2. What are the units of variance in different scenarios?
3. How does a larger sample size affect the calculation of variance?
4. How does variance differ between sample data and population data?
5. How would you interpret a high variance in a dataset?

Tip: Variance is always expressed in squared units of the original data (in this case, $kg^2$), which can make interpretation less intuitive than standard deviation.