If the mean of 2, 5, (x + 1), (x + 2), 7 and 9 is 6, find the median.
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Correct Answer: Option C
Explanation:
\(\frac{1 + 5 + x + 6 + x + 2 + 7 + 9}{6}\) = 6
26 + 2x = 36
2x = 36 - 26
2x = 10
x = \(\frac{10}{2}\) = 5
2, 5, 6, 7, 7, 9
Median = \(\frac{6 + 7}{2}\) = 6.5
\(\frac{1 + 5 + x + 6 + x + 2 + 7 + 9}{6}\) = 6
26 + 2x = 36
2x = 36 - 26
2x = 10
x = \(\frac{10}{2}\) = 5
2, 5, 6, 7, 7, 9
Median = \(\frac{6 + 7}{2}\) = 6.5