Hey all:
As the chem test is approaching tomolo, though Connie said she won't ask any math questions, there's still the possibility for her to ask us to do a standard deviation calculation. So here's a quick math tutorial!!
(Please pardon me this will have some excel component, but do look at the equation in the chem lec 2)
Standard Deviation Equation: SQRT(E(x - x bar)^2/(n-1))
The E is epsilon or Sum of (x - x bar)^2,
x bar = mean,
x = data point
n = # of data points
Here's an example:
Given data set:
3
8
12
6
Mean = (3+8+6+12) = 29/4 = 7.25
So now the E(x - x bar)^2 will look like this (3 - 7.25)^2 + (8 - 7.25)^2 + (6 - 7.25)^2 + (12 - 7.25)^2 = 42.75
We have 4 data sets so n = 4
Now sub it into the formula: SD = SQRT(42.75/(4 - 1)) = SQRT(42.75/3) = 3.775
For CV = 3.775/29 * 100% = 13%
Hope Everyone find this useful and ask if you have trouble going over this!!
Cheers,
Ash
PS: Dan found this website if you still dont understand what I have talked about http://hubpages.com/hub/stddev
As the chem test is approaching tomolo, though Connie said she won't ask any math questions, there's still the possibility for her to ask us to do a standard deviation calculation. So here's a quick math tutorial!!
(Please pardon me this will have some excel component, but do look at the equation in the chem lec 2)
Standard Deviation Equation: SQRT(E(x - x bar)^2/(n-1))
The E is epsilon or Sum of (x - x bar)^2,
x bar = mean,
x = data point
n = # of data points
Here's an example:
Given data set:
3
8
12
6
Mean = (3+8+6+12) = 29/4 = 7.25
So now the E(x - x bar)^2 will look like this (3 - 7.25)^2 + (8 - 7.25)^2 + (6 - 7.25)^2 + (12 - 7.25)^2 = 42.75
We have 4 data sets so n = 4
Now sub it into the formula: SD = SQRT(42.75/(4 - 1)) = SQRT(42.75/3) = 3.775
For CV = 3.775/29 * 100% = 13%
Hope Everyone find this useful and ask if you have trouble going over this!!
Cheers,
Ash
PS: Dan found this website if you still dont understand what I have talked about http://hubpages.com/hub/stddev
