Find the population standard deviation. Round to one decimal place as needed.
$0,3,5,7,7$
A)7
B) 2.7
C) 10.6
D) 1.6

Question

Find the population standard deviation. Round to one decimal place as needed. 
$0,3,5,7,7$  
A)7
B) 2.7
C) 10.6
D) 1.6

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, $x_i$ represents each value in the population, $\mu$ is the mean of the population, and $N$ is the number of values in the population. For the given data $0, 3, 5, 7, 7$, the mean $\mu = \frac{0 + 3 + 5 + 7 + 7}{5} = \frac{22}{5} = 4.4$. Substituting the values into the formula gives $\sigma = \sqrt{\frac{(0-4.4)^2 + (3-4.4)^2 + (5-4.4)^2 + (7-4.4)^2 + (7-4.4)^2}{5}} = \sqrt{\frac{19.36 + 1.96 + 0.36 + 6.76 + 6.76}{5}} = \sqrt{\frac{35.2}{5}} = \sqrt{7.04} = 2.7$.

Find the Population Standard Deviation 0,3,5,7,70,3,5,7,70,3,5,7,7 A)7 B) 2

Find the Population Standard Deviation $0,3,5,7,7$ A)7
B) 2