Question

the following data are the distances from the workplace (in miles) for the 5 employees of a small business. 1, 6, 6, 4, 18. send data to calculator send data to excel. assuming that these distances constitute an entire population, find the standard - deviation of the population. round your answer to two decimal places. (if necessary, consult a list of formulas.)

Explanation:

Step1: Calculate the mean

The mean $\mu=\frac{1 + 6+6 + 4+18}{5}=\frac{35}{5}=7$

Step2: Calculate the squared - differences

$(1 - 7)^2=(-6)^2 = 36$, $(6 - 7)^2=(-1)^2 = 1$, $(6 - 7)^2=(-1)^2 = 1$, $(4 - 7)^2=(-3)^2 = 9$, $(18 - 7)^2=11^2 = 121$

Step3: Calculate the variance

The variance $\sigma^{2}=\frac{36+1 + 1+9+121}{5}=\frac{168}{5}=33.6$

Step4: Calculate the standard deviation

The standard deviation $\sigma=\sqrt{33.6}\approx5.80$

Answer:

$5.80$