Question

the tourist bureau of the caribbean islands surveyed a sample of 5 united states tourists as they left to return home. the tourists were asked how many days they spent on their visits. their responses were as follows. 11, 9, 7, 6, 7. send data to calculator. find the standard deviation of this sample of numbers. round your answer to two decimal places.

Explanation:

Step1: Calculate the mean

$\bar{x}=\frac{11 + 9+7+6+7}{5}=\frac{40}{5}=8$

Step2: Calculate the squared - differences

$(11 - 8)^2=9$, $(9 - 8)^2 = 1$, $(7 - 8)^2=1$, $(6 - 8)^2 = 4$, $(7 - 8)^2=1$

Step3: Calculate the variance

$s^{2}=\frac{9 + 1+1+4+1}{5 - 1}=\frac{16}{4}=4$

Step4: Calculate the standard deviation

$s=\sqrt{4}=2.00$

Answer:

$2.00$