Question

Find the median of the data: $3.3,3.5,3.1,3.7,3.2,3.8$

Answer 1

Arranging given numbers in ascending order,

$3.1,3.2,3.3,3.5,3.7,3.8$

Number of observations $=6$

Here, number of observation is even number.

$\therefore$ $Median=\frac{1}{2}[{\left(\frac{6}{2}\right)}^{th}observation+{(\frac{6}{2}+1)}^{th}observation]$

$=\frac{1}{2}(3^{rd}obs+4^{th}obs)$

$=\frac{1}{2}(3.3+3.5)$

$=\frac{6.8}{2}$

$\therefore$ $Median=3.4$