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It tells you stranger nothing of the distributions shape, and income is not normally distributed. While this is surely not the case, stranger hypothetically 50% of jobs that were below the medium income value could all fall from being some stratification between the minimum wage and last years medium stranger to all being minimum wage jobs, with a large disproportionate spike at the lower end and no change to the median. Basically a bi-modal distribution. For example say the median salary is $45000. You could have 49.9% of the population making $18K per year, the next .2% making $45K and the remaining 49.9% making $1M a year and your median is you guessed it, $45K. So median alone, and whether it moved doesn't actually show what you think it does. So your median would remain fixed at last years rate and the number of people who are making less money falls. One would also need other statistics as well such as the mean, mode, stdev, etc.
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