Question

find the standard deviation of the data set (as a population) below. round your answer to the nearest hundredths place if applicable. 6, 1, 3, 6 show your work here enter your answer

Explanation:

Step1: Calculate the mean

The mean $\mu=\frac{6 + 1+3 + 6}{4}=\frac{16}{4}=4$.

Step2: Calculate the squared - differences

$(6 - 4)^2=4$, $(1 - 4)^2 = 9$, $(3 - 4)^2=1$, $(6 - 4)^2 = 4$.

Step3: Calculate the variance

The variance $\sigma^{2}=\frac{4 + 9+1 + 4}{4}=\frac{18}{4}=4.5$.

Step4: Calculate the standard deviation

The standard deviation $\sigma=\sqrt{4.5}\approx2.12$.

Answer:

$2.12$