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Part 1
A random sample of 10 subjects have weights with a standard deviation of 11.919711.9197 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.
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Part 1
The variance of the sample data is enter your response here 
kg squared .kg2.
​(Round to four decimal places as​ needed.)

The formula to calculate the variance of a sample is:

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

Given that the standard deviation is 11.9197 kg, we can calculate the variance by squaring the standard deviation.

\[
\text{Variance} = (11.9197)^2 = 142.0909 \, \text{kg}^2
\]

Thus, the variance of their weights is:

\[
142.0909 \, \text{kg}^2
\]

(Rounded to four decimal places as needed.)

Would you like more details or have any questions?

Here are some related questions:
1. What is the relationship between variance and standard deviation?
2. How do you calculate the sample variance for larger data sets?
3. Why is the unit of variance the square of the unit of the data (e.g., kg²)?
4. How is the variance of a population different from the variance of a sample?
5. What is the significance of rounding in statistical calculations?

**Tip:** Always double-check the rounding rules and ensure that you maintain the correct number of decimal places as requested.

A random sample of 10 subjects have weights with a standard deviation of 11.9197 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.

Learn how to calculate the variance of sample weights given a standard deviation of 11.9197 kg. This problem includes key statistical concepts such as standard deviation and variance. Suitable for high school students in Grades 10-12.

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