Question

A random sample of 10 subjects have weights with a standard deviation of 11.6118 kg. What is the variance of their weights? Be sure to include the appropriate units with
the result.
The variance of the sample data is_
(Round to four decimal places as needed.)

Answer 1

Answer:

The variance of the sample data is 134.8339 kg²

Step-by-step explanation:

Let's recall that the Standard deviation of a sample or population is the square root of the Variance, therefore:

Standard deviation = √Variance

Standard deviation² = (√Variance)²

Standard deviation² = Variance

Replacing with the value we have:

11.6118 * 11.6118 = Variance

Variance = 134.8339 kg²

The variance of the sample data is 134.8339 kg²