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?

1 Answer
Shwetank Mauria
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^(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#.

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