- #1
startinallover
- 1
- 0
I'm doing a report on a set of lab data and am supposed to find the mean and mean's standard deviation
[tex] \bar{x} + \sigma_{\bar{x}} [/tex]
The mean is given by
[tex]\displaystyle{ \bar{x} = \sum_{i=1}^{N} w_{i} x_{i} } [/tex]
Where
[tex]\displaystyle{ w_{i} = \left( \frac{\sigma}{\sigma_{i}} \right)^2 } [/tex]
and for the error (mean's standard deviation)
[tex] \displaystyle{ \sigma_{\bar{x}} = \sigma = \frac{1}{ \sqrt{ \sum_{i=1}^{N} \frac{1}{\sigma_{i}^{2} } } } } [/tex]The problem is I can't quite figure it out what the σi would be, is it the standard deviation? This might sound very silly but it's been a long time I've dealt with this.
Any help is appreciated.
[tex] \bar{x} + \sigma_{\bar{x}} [/tex]
The mean is given by
[tex]\displaystyle{ \bar{x} = \sum_{i=1}^{N} w_{i} x_{i} } [/tex]
Where
[tex]\displaystyle{ w_{i} = \left( \frac{\sigma}{\sigma_{i}} \right)^2 } [/tex]
and for the error (mean's standard deviation)
[tex] \displaystyle{ \sigma_{\bar{x}} = \sigma = \frac{1}{ \sqrt{ \sum_{i=1}^{N} \frac{1}{\sigma_{i}^{2} } } } } [/tex]The problem is I can't quite figure it out what the σi would be, is it the standard deviation? This might sound very silly but it's been a long time I've dealt with this.
Any help is appreciated.