If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median 

Answer Details

Firstly; solving for x

6 = 2+5+x+1+x+2+7+96 $$

cross multiply to have:

6 * 6 = 2 + 5 + x+1 + x+2 + 7 + 9

36 = 2x + 26

36 - 26 = 2x

10 = 2x

x = 5

Median = 7+62 $\frac{7+6}{2}$

→ 6.5