here is the formula
modulation index=peak freq deviation/operating freq.
frm this we can calculate freq dev
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Simple! The average deviation for any data set is zero - by definition.
You cannot because the standard deviation is not related to the median.
A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.
NO
Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.