MATH SOLVE

4 months ago

Q:
# A random sample of 10 subjects have weights with a standard deviation of 11.9407 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 nothing ▼ kg cubed . kg squared . kg. (Round to four decimal places as needed.)

Accepted Solution

A:

Answer: [tex]142.58\text{squared kg}[[/tex]Step-by-step explanation:Answer:Step-by-step explanation:Given : A random sample of 10 subjects have weights with a standard deviation of 11.9407 kgi.e. [tex]\sigma = 11.9407[/tex]Since we know that the value of variance is the square of standard deviation.
i.e. [tex]\text{Variance}=\sigma^2[/tex]Therefore, to find the value of variance, we need to find the square of the given standard deviation.
i.e. [tex]\text{Variance}=(11.9407)^2=142.58031649\approx142.58\text{squared kg}[/tex]Thus, the variance of their weights =[tex]142.58\text{squared kg}[[/tex]