#### Lord Vader

##### New member

- Joined
- Jun 7, 2023

- Messages
- 3

You have n number of devices measuring something, each with 'a' amount of accuracy.

Average the measurement values.

The question is, what is the accuracy of the average measurement (A)

hmm something like A = F(n,a)

Another way to think about this might be

Some number of overlapping circles. Each center has some amount of inaccuracy.

Find the centre point, how accurate is that point?

or perhaps line of best fit through points with some level of inaccuracy.

What are the error bars of the best fit line?

It would seem obvious that increasing n increases A.

I'm trying to model something. I could go for just one measurement that is 99.999999....% accurate...or I got to thinking I could, effectively sum the accuracy of less accurate models.

aaah but how many models at say 60% accuracy to get overall accuracy of 99.9%?

I'm not mathematically inclined but I'm decent with a spreadsheet so don't go overboard with a solution...and ideally it's something I could plug into google sheets. I'm just trying to wrap my head around a solution.

Oh, some limits.

whatever formula...the value of A can't exceed 100%, nor 0.

..and if it's only 1 measurement (n) with accuracy 'a', then A has to equal 'a'

### Group Accuracy - Google Drive

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