by tommywallach Mon Nov 04, 2013 2:22 pm
Hey Patra,
So we can just set the first integer to x, and use the average formula
(x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5)) / 6 = 18.5
Now multiply both sides by 6, and add up all the x stuff:
6x + 15 = 111
6x = 96
x = 16
OR, you could know that the median = mean in any evenly spaced set, so we know 18.5 is the median, which means the two numbers on either side are 18 and 19, and then we can just count downwards to 16.
Hope that helps!
-t