Question

The sharks have played 5 basketball games.their scores are 65,63,67,60,and 65. If they only score 30 points in their next game, what will happen to their MEDIAN score ?

Answer 1

Rearranging the scores of 5 games in ascending order to find the Median:

60, 63, 65, 65,67

The middle value in this case is 65. So 65 is the Median for 5 games played.
When the next game is played the scores will be:

30, 60, 63, 65, 65,67

The total number of values is even, so in this case Median will be the average of middle two values i.e. 63 and 65. The average of 63 and 65 is 64. Therefore, after the sixth game the median will be 64.

So, we can say after the 6th game the median value fell by 1 score

Answer 2

Ordering the scores they have got in their 5 basketball games:
60, 63, 65, 65, and 67
There are 5 values, and odd number, then the median score is the central value, that means number 3: Median score=65

If they only score 30 points in their next game, the scores would be:
30, 60, 63, 65, 65, and 67
6 values, an even number, then the median score is the average of the two central values :
Median score=(63+65)/2=(128)/2→Median score=64

Answer: Their median score will decrease 1 point (64-65=-1)