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Answer :

6

The mean is already six.

2 + 8 + 7 + 4 + 9 = 30

30 ÷ 5 = 6

If you have to add another number, it would be six, so the mean stays the same :)

2 + 8 + 7 + 4 + 9 + 6 = 36

36 ÷ 6 = 6