Answer:
3.96
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