5 9 17 11 8 11 16

How do you do standard deviations with these numbers

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6) ² = 36

9 - 11 = (-2) ² = 4

17 - 11 = (6) ² = 36

11 - 11 = (0) ² = 0

8 - 11 = (-3) ² = 9

11 - 11 = (0) ² = 0

16 - 11 = (5) ² = 25

Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

²√15.71 = 3.96