Find the median of \(3,6, x, 7,9\) if the mean is \(5.8\) ?
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Correct Answer: Option A
Explanation:
Mean \(=\frac{5 u m}{n}\)
Sum \(=3+6+x+7+9=x+25, \quad n=5\) \(\frac{5.8}{1}=\frac{x+25}{5}\) \(5.8 \times 5=x+25, \quad 29=x+25\)
\(x=29-25=4\) in ascending order to obtain the median, we have \(3,4,6,7,9\). The median \(=6\).
Mean \(=\frac{5 u m}{n}\)
Sum \(=3+6+x+7+9=x+25, \quad n=5\) \(\frac{5.8}{1}=\frac{x+25}{5}\) \(5.8 \times 5=x+25, \quad 29=x+25\)
\(x=29-25=4\) in ascending order to obtain the median, we have \(3,4,6,7,9\). The median \(=6\).