JAMB - Mathematics (2022 - No. 5)

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median 
5.5
5
6.5
6

Explanation

Firstly; solving for x

6 = \(\frac{2 + 5 + x+1 + x+2 + 7 + 9}{6}\)

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 = \(\frac{7+6}{2}\)

→ 6.5

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