# If a player has scored Runs - 45,55,25,35,5,15 in No of matches 40,30,30,50,10,20 respectively, what is the median score of the player?

Sep 8, 2016

The median is $35$.

#### Explanation:

As runs scored by the player are

Runs - 45,55,25,35,5,15
in No of matches 40,30,30,50,10,20 respectively

To find median, we should arrange the data in increasing order and the median will be the average of score in ${90}^{t h}$ and ${91}^{s t}$ matches. The order is as follows:

$5$ in $10$ matches
$15$ in next $20$ matches i.e. cumulative total of $30$ matches
$25$ in $30$ matches i.e. cumulative total of $60$ matches
$35$ in $50$ matches i.e. cumulative total of $110$ matches
$45$ in $40$ matches i.e. cumulative total of $150$ matches
$55$ in $30$ matches i.e. cumulative total of $180$ matches

As the score in ${90}^{t h}$ and ${91}^{s t}$ matches is both $35$

The median is $35$.