Error bars for large noisy data sets

Dear all, I have ten large linear arrays (50,000+ elements) such as

A = [ An1 An2....An50000 ] B = [ Bn1 Bn2....Bn50000 ] .... J = [ Jn1 Jn2....Jn50000 ]

I can make a simple average of these arrays by adding them and dividing by ten and this reduces the noise substantially.

What I would like to do is plot this average with error bars that represent the noise in the original ten arrays. The arrays are large, so maybe error bars at sensible increments (say ten error bars across the entire range where the deviation from the average is greatest)

thanks

[William White]

sorry, I should have made clear in the first line that the arrays contain noisy data; and in the second sentence that averaging the arrays reduces the noise.