Question

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?

Answer 1

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^(th)` and `91^(st)` 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^(th)` and `91^(st)` matches is both `35`

The median is `35`.