If the average of data 8, 9, 7, 8, x, 4 is 7, then the variance of this set of data is______ .

If the average of data 8, 9, 7, 8, x, 4 is 7, then the variance of this set of data is______ .

∵ the average of data 8, 9, 7, 8, x, 4 is 7, ∵ (8 + 9 + 7 + 8 + X + 4) △ 6 = 7, ∵ x = 6, ∵ the variance of this group of data is: 16 [(8-7) 2 + (9-7) 2 + (7-7) 2 + (8-7) 2 + (6-7) 2 + (4-7) 2] = 52; so the answer is: 52