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We really need to sticky the thread from years ago explaining why having a lot of not outs doesn't mean your average is less representative of your performance or ability. Because apparently it's not as obvious as it should be.Remaining not out means giving up runs the not out batsman could have scored if they had more partners.
In order for your assertion to be correct, you would need to prove the increase in average from remaining not out is greater than the potential runs lost.
Batting average is the true batting average - it's runs divided by how many times the batsman is actually out.
I have a minor aneurysm every time I see "aVeRaGe bOoStEd bY nOt OuTs" or some such