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Relation RMS noise and no. of samples averaged for ADC

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knikhil271083

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I have read that using averaging reduces the noise during ADC reading. Using more number of samples for averaging further reduces the noise.
Can someone please let me know the mathematical relationship between RMS noise and no. of samples used for averaging for an ADC?
I have a data aquisition system in which during EMC testing increasing the no. of samples for averaging are giving good results but I dont know what would be the best no. of average. Hence, I want some theoretical base which would help me come to a conclusion for the number of samples required to reduce the noise below specified limit.
Any help will be appreciated.
 

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