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## Homework Statement

I am just looking through some old notes I have from for cosmology, and there's something cropped up that i can't seem to figure out:

Say I have two (or more) values for [itex]H_o[/itex] each with errors such as:

[tex]H_{o_1}=70^{+a+b}_{-c-d}[/tex]

and

[tex]H_{o_2}=69^{+e+f}_{-g-h}[/tex]

How would I go about calculating the weighted averaged (a,c,e,g are statistical errors. The rest are systematic errors) and then uncerstainty on the weighted average when for instance [itex]a\neq c[/itex].

## Homework Equations

All the formula i found are along the lines of:

[tex]\bar{x}=(\sum^{N}_{i=1}x_i/\sigma_i^2)/(\sum^{N}_{i=1}1/\sigma_i^2)[/tex]

[tex]\sigma_{\bar{x}}=\sqrt{1/(\sum^{N}_{i=1}1/\sigma_i^2})[/tex]

## The Attempt at a Solution

I've attempted to workout the top uncertainty on it's own, and likewise with the bottom but that doesn't seem the right way to do it.