Median of the data 5,8, 9, x, 11, 13 is 9.5 (given that data is arraned in ascending order) then x is
Median of the data 5,8, 9, x, 11, 13 is 9.5 (given that data is arraned in ascending order) then x is
A) 8
B) 9.5
C) 10
D) 10.5.
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Correct option is (C) 10
Number of observations is n = 6 (even)
\(\therefore\) Median = Average of \(\frac n2th\) observation and \((\frac n2+1)^{th}\) observation
\(=\frac{9+x}2\)
\(\therefore\) \(\frac{9+x}2\) = 9.5 \((\because\) Median = 9.5 (given))
\(\Rightarrow\) 9+x = 9.5 \(\times\) 2 = 19
\(\Rightarrow\) x = 19 - 9 = 10
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