In reality, a statistician never really has ALL the data. The data is instead taken from a sample of the whole population. If this sample is representative of the entire population, then any statistics based on the sample should be good estimates of the whole but probably not a perfect match. Of course the more data you get from the whole population the better the estimate, but it will always be an estimate unless you census the enitire population.
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You can estimate the median and the mean.
You can estimate them both.
You can estimate them both.
The mean deviation from the median is equal to the mean minus the median.
Mean, Median and Mode. They are three kinds of averages.