Respuesta :
Answer:
B) 36
Step-by-step explanation:
We are given that the standard deviation of a set of data is 6 and we have to find the value of variance.
Formula for calculating variance = [tex]\frac{\sum (X-Xbar)^{2} }{n-1}[/tex]
Formula for calculating standard deviation = [tex]\sqrt{\frac{\sum (X-Xbar)^{2} }{n-1}}[/tex]
This shows that variance is the square of standard deviation.
Therefore, if the standard deviation of a set of data is 6 then variance will be [tex]6^{2}[/tex] = 36.
The variance is the square of the standard deviation. The value of the variance for the considered case is given by: Option B: 36
How are variance and standard deviation related?
We find the standard deviation of a data set by taking the positive root of that data set's variance.
Thus, to find the variance from standard deviation, we just need to get square of it.
Variance and standard deviation both are non-negative quantities.
For this case, we have:
Standard deviation of the data set = 6
Thus, we get:
Variance = square of standard deviation = [tex]6^2 = 36[/tex]
Thus, the variance is the square of the standard deviation. The value of the variance for the considered case is given by: Option B: 36
Learn more about standard deviation here;
https://brainly.com/question/10687815
