Both the mean and median represent the center of a distribution. Calculating the mean is easier, but may be more affected by outliers or extreme values. The median is more robust.
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They are all the same.
Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
The mean deviation from the median is equal to the mean minus the median.
Mean, Median and Mode. They are three kinds of averages.