passpadi

2022

Mathematics

JAMB

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

A.

5.5

B.

5

C.

6.5

D.

6

Correct Answer: 6.5

Explanation

Firstly; solving for x 6 = (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 = 7+6/2 → 6.5

Firstly; solving for x 6 = (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 = 7+6/2 → 6.5
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