Question

Find the median of the following data.
$14,92,62,53,42,32,22,41,83,55$.

Answer 1

$\Rightarrow$ The given numbers are $14,92,62,53,42,32,22,41,83,55.$

Arranging given numbers in ascending order,

$14,22,32,41,42,53,55,62,83,92$

Here, number of observation $\left(N\right)=10\left(even\right)$

$Median=\frac{{\left(\frac{N}{2}\right)}^{th}obs+{\left(\frac{N+1}{2}\right)}^{th}obs}{2}$

$Median=\frac{5^{th}obs+6^{th}obs}{2}$

$Median=\frac{42+53}{2}$

$Median=\frac{95}{2}$

$\therefore$ $Median=47.5$