the following data points are last weeks revenues (in thousands of dollars) for the 5 hermans hoagies…
the following data points are last weeks revenues (in thousands of dollars) for the 5 hermans hoagies locations. 5, 6, 5, 10, 9. find the standard deviation of the data set. round your answer to the nearest hundredth. thousand dollars show calculator
Answer
Explanation:
Step1: Calculate the mean
The data set is (5,6,5,10,9). The mean (\bar{x}=\frac{5 + 6+5+10+9}{5}=\frac{35}{5}=7).
Step2: Calculate the squared - differences
((5 - 7)^2=(-2)^2 = 4), ((6 - 7)^2=(-1)^2 = 1), ((5 - 7)^2=(-2)^2 = 4), ((10 - 7)^2=3^2 = 9), ((9 - 7)^2=2^2 = 4).
Step3: Calculate the variance
The variance (s^{2}=\frac{4 + 1+4+9+4}{5}=\frac{22}{5}=4.4).
Step4: Calculate the standard deviation
The standard deviation (s=\sqrt{4.4}\approx2.10).
Answer:
(2.10)