Find the population standard deviation. Round to one decimal place as needed. $0 , - 2,4,6$
A)1.8
B)10
C)7.2
D)3.2

Question

Find the population standard deviation. Round to one decimal place as needed. $0 , - 2,4,6$ 
A)1.8
B)10
C)7.2
D)3.2

Quizplus · Accepted Answer

The population standard deviation is calculated using the formula $\sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}}$, where $\sigma$ is the population standard deviation, $x_i$ are the values in the population, $\mu$ is the mean of the population, and $N$ is the number of values in the population. For the given data $0, -2, 4, 6$, the mean $\mu = \frac{0 - 2 + 4 + 6}{4} = 2$. Substituting the values into the formula gives $\sigma = \sqrt{\frac{(0-2)^2 + (-2-2)^2 + (4-2)^2 + (6-2)^2}{4}} = \sqrt{\frac{4 + 16 + 4 + 16}{4}} = \sqrt{10} \approx 3.2$.

Find the Population Standard Deviation 0,−2,4,60 , - 2,4,60,−2,4,6 A)18 B)10 C)7

Find the Population Standard Deviation $0 , - 2,4,6$ A)18
B)10
C)7