A random sample of 10 subjects have weights with a standard deviation of 13.2965 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 cubed .
kg squared .
kg.
​(Round to four decimal places as​ needed.)

To find the variance of the sample data, you square the standard deviation.

Given:
- Standard deviation (\( s \)) = 13.2965 kg

The formula for variance (\( s^2 \)) is:

\[
s^2 = (13.2965 \, \text{kg})^2
\]

Now, calculate the variance:

\[
s^2 = 13.2965^2 = 176.7504 \, \text{kg}^2
\]

So, the variance of the sample data is **176.7504 kg²**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How is the variance related to the standard deviation?
2. What is the significance of variance in statistical analysis?
3. How would you interpret a higher or lower variance in a data set?
4. Can variance ever be negative? Why or why not?
5. How does variance differ between a sample and a population?

**Tip:** Always remember that the variance is the square of the standard deviation, so its units are squared as well!

Learn how to calculate the variance from the standard deviation of a sample data set with a detailed explanation and example. This problem involves statistical concepts including variance and standard deviation, with calculations rounded to four decimal places.

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