Variables such as USA's GDP and unemployment rate in USA over last 20 years would be best represented by mean provided none of the years in consideration have abnormally high value.
Variables such as income or marks scored in an exam would be represented by median of few people have very high income or if few students have scored very high marks. Generally, median is better measure whenever we have data with extreme values and to avoid the bias in mean because of these extreme value, one shall rely on median.
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