Question 11 (1 point)
What is the standard deviation of the following sample data: $33,27,34,17,25,37$.
Round to 2 decimal places as needed.
Your Answer:
Answer

Step 1 ：Given the sample data: \(33, 27, 34, 17, 25, 37\)

Step 2 ：Calculate the mean of the data: \(\frac{33 + 27 + 34 + 17 + 25 + 37}{6} = 28.83\)

Step 3 ：Subtract the mean from each data point and square the result: \((33 - 28.83)^2, (27 - 28.83)^2, (34 - 28.83)^2, (17 - 28.83)^2, (25 - 28.83)^2, (37 - 28.83)^2\), which gives: \(17.36, 3.36, 26.69, 140.03, 14.69, 66.69\)

Step 4 ：Calculate the mean of these squared differences: \(\frac{17.36 + 3.36 + 26.69 + 140.03 + 14.69 + 66.69}{6} = 44.81\)

Step 5 ：Take the square root of the result: \(\sqrt{44.81} = 6.69\)

Step 6 ：Round to 2 decimal places: \(6.69\)

Step 7 ：Final Answer: The standard deviation of the sample data \(33,27,34,17,25,37\) is \(\boxed{6.69}\)