Answer:
The standard deviation is 5.83 kg
Step-by-step explanation:
Variance and Standard Deviation
Given a data set of random values, the variance is defined as the average of the squared differences from the mean. We use this formula to calculate the variance:
[tex]\displaystyle \sigma^2=\frac{\sum(x_i-\mu)^2}{n}[/tex]
Where [tex]\mu[/tex] is the mean of the values xi (i=1 to n), n the total number of values.
The standard deviation is known by the symbol [tex]\sigma[/tex] and is the square root of the variance.
We are given the value of the variance:
[tex]\sigma^2=34\ kg^2[/tex]
We now compute the standard deviation
[tex]\sigma=\sqrt{34\ kg^2}=5.83\ kg[/tex]
The standard deviation is 5.83 kg
