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Median income is the amount which divides the income distribution into two equal groups, half having income above that amount, and half having income below that amount. Mean income (average) is the amount obtained by dividing the total aggregate income of a group by the number of units in that group.
average salary is a pretty generic term and does not tell you how the number is computed. Usually, but not always, it would be the sum of the salaries divided by the number of salaries. This is known as the mean. The median salary is the middle value. That is to say, if you listed all the salaries from lowest to highest, the median would be right in the middle. A more precise statistical definition might say it is the value that separates the higher half of a sample or a probability distribution from the lower half.