Which equation should I use to find the average value of three average values?

When I want to find the average value of three sets of averages, which equation correctly represents the calculation? Why?

((a/b) + (c/d) + (e/f))/3

or

(a + c + e)/(b + d + f)


Example:
(5/2 + 7/3 + 11/5)/3 = 2.344444

or

(5+7+11)/(2+3+5)= 2.300000

"average value of three average values"... the first formula.
"average value of three sets" ... the second formula

set of "something", the something is just a description. like weight or height.

I am more interested in what do you want to highlight by saying 'average of three averages'. I mean, I know no significance of any sort of reporting 'the average' of 'all averages'.

Either formula might be correct but more context would immensely help.

This post has been edited by Just Visiting By: Oct 26 2023, 10:17 PM

i would go for the first formula for easy sake