Question

In a mathematics test given to $15$ students, the following marks (out of $100$) are recorded:
$41,39,48,52,46,62,54,40,96,52,98,40,42,52,60$
Find the mean, median and mode of this data.

Answer 1

The marks of $15$ students is

$41,39,48,52,46,62,54,40,96,52,98,40,42,52,60$

Mean $=\frac{41+39+48+52+46+62+54+40+96+52+98+40+42+52+60}{15}$

$=\frac{822}{15}=54.8$;

Number of observations $=15$ (odd)

Median score $=8$th number arranging in ascending order which is $52.$

Maximum frequency $=3$ of $52$

$\therefore$ Mode $=52.$.