## 5 9 17 11 8 11 16 How do you do standard deviations with these numbers

Question

5 9 17 11 8 11 16

How do you do standard deviations with these numbers

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2 weeks 2021-09-13T16:07:53+00:00 1 Answer 0

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