SOLUTION: find the standard deviation of 75 77 78 78 79 80 80 81 84 85 87 89 90 91 HELP

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Question 117072: find the standard deviation of
75 77 78 78 79 80 80 81 84 85 87 89 90 91

HELP
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First sort the numbers into ascending order (from least to greatest):
75,77,78,78,79,80,80,81,84,85,87,89,90,91

Now we need the mean. So add up all of the numbers and divide the sum by the number of numbers (which in this case is 14).


So the mean is 82.4285714285714




Now that we have the mean, we can 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 14



Replace with 82.4285714285714



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

Here is an online standard deviation calculator that will check your work.


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