SOLUTION: Please help me find the standard deviation of the data values: 10, 12, 12, 15, 16, 16, 16, 17, 19, 20

Question 89828: Please help me find the standard deviation of the data values:
10, 12, 12, 15, 16, 16, 16, 17, 19, 20
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First find the mean

To find the mean, add up all of the numbers and divide the sum by the number of numbers (which in this case is 10).

So the mean is 15.3

Now use this formula to find the standard deviation:

Standard Deviation:

where

is the arithmetic mean,

is the ith number, and

is the number of numbers

So we can replace N with 10

Replace

with 15.3

Expand the summation (replace each with the respective number)

Subtract the terms in the parenthesis

Square each term

Add up all of the terms

Multiply

Take the square root

So the standard deviation is

You can verify this with any calculator that has stats functions.
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