If the median of a set of data 90, 96, a, 80, 91, 78 is exactly equal to the average, then a=

1 / 6 (90 + 96 + 80 + 91 + 78 + a) = (80 + 90) / 2 or (90 + 91) / 2 or (90 + a) / 2
They are a min a max a middle
a=75 a=108 a=82.5
Check it yourself