Thank you all for the responses! I have some additional follow up information as well as questions:
1. We are using data from Shelby County, TN, which has a population of over 900,000. So it seems that using 1 year data is acceptable.
2. The purpose of our study is not to determine whether the difference in median income between high school graduates and non-graduates is getting bigger or smaller over time, but to determine the cumulative economic impact of having a high school diploma vs. not over time. In other words, what is the median difference in income (in dollars) in 2013, 2014, 2015, 2016, and 2017 between those with a high school diploma vs. not. Then over the entire timeframe from 2013-17, what is the cumulative difference in income between high school graduates and non-graduates (adding the differences for the individual years). So, we’d like to be able to say something to the effect, “The annual difference in median income between high school graduates and non-graduates in 2013 was $8,046†(actual data, but from the 5 year estimate). Then make a similar statement for each individual year 2014-17, with the ultimate statement something to effect of, “Between 2013 and 2017 the cumulative difference in median income between high school graduates and non-graduates was $34,663†(actual data, but from the 5 year estimate). The point would be to show how having a high school diploma vs. not affects income, and how that difference accumulates over time. We also want to say how that effect for the county is compounded based on the number of high school graduates each year (e.g., if there were 500 graduates in Shelby County in 2013, that is a cumulative difference for the county of $4,023,000 ($8,046 x 500)).
3. Do you typically report a range of values for the median based on the margin of error. And for our example, whether they would report a range of values for the difference between high school graduates and non-graduates based on the margin of error.
Thank you!