a random sample of 10 subjects have weights with a standard deviation of 11.8990 kg. what is the variance of…

a random sample of 10 subjects have weights with a standard deviation of 11.8990 kg. what is the variance of their weights? be sure to include the appropriate units with the result.\nthe variance of the sample data is \n(round to four decimal places as needed.)

a random sample of 10 subjects have weights with a standard deviation of 11.8990 kg. what is the variance of their weights? be sure to include the appropriate units with the result.\nthe variance of the sample data is \n(round to four decimal places as needed.)

Answer

Answer:

$141.5922\ kg^{2}$

Explanation:

Step1: Recall variance - standard - deviation relation

The variance $\sigma^{2}$ and standard deviation $\sigma$ are related by the formula $\sigma^{2}=\sigma\times\sigma$.

Step2: Square the given standard deviation

Given $\sigma = 11.8990\ kg$. Then $\sigma^{2}=(11.8990)^{2}=141.592201\ kg^{2}$.

Step3: Round the result

Rounding $141.592201$ to four decimal places gives $141.5922\ kg^{2}$.