Standard deviation.

your list of numbers
13.29
6.28
5.77
18.13
26.9
5.63

mean: (13.29+6.28+5.77+18.13+26.9+5.63) / 6 = 12.66 / 6 = 2.11
list of deviations: 3.52 24.79 16.02 3.66 4.17 11.18
squares of deviations: 10.56 614.54 256.64 13.39 17.38 124.99
sum of deviations: 1037.5
divided by one less than the number of items in the list: 1037.5/5
square root of this number: square root (207.5) = 14.4

This is right yes?

Thanks if you can check it for me XD

Reply 1

grape:)

OP

22

And does this mean that all of my data is within one standard deviation away from the mean, so it is all valid?

Reply 2

steve2005

17

grape:)

your list of numbers
13.29
6.28
5.77
18.13
26.9
5.63

mean: (13.29+6.28+5.77+18.13+26.9+5.63) / 6 = 12.66 / 6 = 2.11
list of deviations: 3.52 24.79 16.02 3.66 4.17 11.18
squares of deviations: 10.56 614.54 256.64 13.39 17.38 124.99
sum of deviations: 1037.5
divided by one less than the number of items in the list: 1037.5/5
square root of this number: square root (207.5) = 14.4

This is right yes?

Thanks if you can check it for me XD

No your answer is not correct.

Reply 3

grape:)

OP

22

steve2005

No your answer is not correct.

Thanks for that, could you by any chance link me to that site? And if you're feeling very generous explain the difference between to population one and the regular one?

Thanks x

Reply 4

astudent

7

grape:)

Thanks for that, could you by any chance link me to that site? And if you're feeling very generous explain the difference between to population one and the regular one?

Thanks x

For number crunching, do not use the definitions, instead use these simple formulas which you can derive and which make computations much easier.

The difference between the sample and population variances are that the former assumes your data are observations from some unknown population, whereas the latter implies these observations are the entire population.

Standard deviation.

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