The median of $20, 31, 41, 91, 61, 81, 51, 21$ and $55$ is______.

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Solution

To find the median, first arrange the data in ascending order
$20, 21, 31, 41, 51, 55, 61, 81, 91$
Here, number of terms $(n) = 9$
We know that, for odd number of terms
$\begin{array}{rcl} M e d i a n & = & {(\frac{n + 1}{2})}^{t h} t e r m \\ = & {(\frac{9 + 1}{2})}^{t h} t e r m \\ = & 5^{t h} t e r m \\ = & 51 \end{array}$
Hence, the median of $20, 31, 41, 91, 61, 81, 51, 21$ and $55$ is $51$ .

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The median of 20,31,41,91,61,81,51,21 and 55 is______.

To find the median, first arrange the data in ascending order20,21,31,41,51,55,61,81,91Here, number of terms (n)=9We know that, for odd number of termsMedian=n+12thterm=9+12thterm=5thterm=51Hence, the median of 20,31,41,91,61,81,51,21 and 55 is 51.

The median of $20, 31, 41, 91, 61, 81, 51, 21$ and $55$ is______.