A random sample of 10 subjects have weights with a standard deviation of 12.2207 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.

To find the variance, you use the formula:

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

Given:
- Standard Deviation = 12.2207 kg

So, the variance will be:

\[
\text{Variance} = (12.2207 \, \text{kg})^2
\]

Now, let's calculate it.The variance of the weights is \( 149.3455 \, \text{kg}^2 \).

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:
1. What is the difference between standard deviation and variance?
2. How would you interpret a high variance versus a low variance in a dataset?
3. What is the formula for the variance of a population as opposed to a sample?
4. How would the variance change if we doubled the standard deviation?
5. Can you explain why variance has squared units compared to standard deviation?

**Tip:** Remember that variance is always in squared units of the original data, which often makes it less intuitive than the standard deviation when interpreting data.

A random sample of 10 subjects have weights with a standard deviation of 12.2207 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.

Learn how to calculate the variance from the standard deviation of a sample of 10 subjects, with a given standard deviation of 12.2207 kg. This guide provides a step-by-step solution using the variance formula, suitable for students in Grades 9-11.

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