This is not the definition of expected value. Standard deviation is a measure of how closely together all of the items in the population are to each other. It is also the square root of the variance. The variance and standard deviation both give us an idea of the variability of the possible values from the mean.
The expected value is the weighted average of all the possible outcomes, with the probability of each possible outcome serving as its weight.
This is not the definition of expected value. This answer has no meaning.
This is a partial explanation of the way the standard deviation is calculated, but it is not the complete explanation. It is also not the definition of expected value.
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