SOLUTION: I am stuck on a problem. I'm not sure where I went wrong. Will you please help. I have a table with the following values: 456,306,160,363,376,935,54,349 I have to find the mean

Question 169354: I am stuck on a problem. I'm not sure where I went wrong. Will you please help.
I have a table with the following values: 456,306,160,363,376,935,54,349
I have to find the mean, the median, the mode, and the standard deviation of the data. Round to the nearest hundredth if necessary.
For the mean I came up with 374.88
For the median I came up with: 354.5
For the mode I came up with: 0 since no numbers repeat themselves.
Now for the standard deviation I went as follows:
(456-374.88)+(306-374.88)+(160-374.88)+(363-374.88)+(376-374.88)+(935-374.88)+(54-374.88)+(349-374.88)/8
=81.12-68.88-214.88-11.88+1.12+560.12-320.88-25.88/8
=-0.04/8
=-5.E-03
What did I do wrong. Will you please show me.
Thanks
Answer by scott8148(5885) (Show Source):
You can put this solution on YOUR website!
the standard deviation is a root-mean-square value

square all of the differences from the mean
__ calculate the average of the squared differences
__ the standard deviation is the square root of the average

the squaring/square rooting eliminates the "cancelling" effect of negative deviations