BTGmoderatorLU wrote: ↑

Mon Apr 20, 2020 5:01 am

Source: Manhattan Prep

Jake - 51
Keri - 63
Luke - 15
Mia - 38
Nora -22

The table above shows the number of points held by 5 players of a certain game. If an integer number of Keri's points were taken from her and given to Luke, and the median score of the 5 players increased, how many points were transferred from Keri to Luke?

A. 23
B. 24
C. 25
D. 26
E. 27

The OA is B

Let's first find out the current median.

Arranging the points in ascending order...

Luke - 15
Nora -22
Mia - 38 (Middle-most => Median = 38)
Jake - 51
Keri - 63

For Median to change, with Luke's points increased, Luke's score must be 3rd in order, i.e. Nora should be 1st and Mia should be 2nd. This means Luke must have 39 points. For this to happen, Luke needs 39 – 15 = 24 points. Let's visit the revised order.

Nora -22
Mia - 38
Luke - 15 + 24 = 39(Middle-most => Median = 39 > 38)
Keri - 63 – 24 = 39
Jake - 51

Since the above is in ascending order and the median is increased, 24 is the correct answer.

The correct answer: B

Hope this helps!

-Jay
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BTGmoderatorLU wrote: ↑

Mon Apr 20, 2020 5:01 am

Source: Manhattan Prep

Jake - 51
Keri - 63
Luke - 15
Mia - 38
Nora -22

The table above shows the number of points held by 5 players of a certain game. If an integer number of Keri's points were taken from her and given to Luke, and the median score of the 5 players increased, how many points were transferred from Keri to Luke?

A. 23
B. 24
C. 25
D. 26
E. 27

The OA is B

Currently, the median is 38.

Let’s analyze the answer choices:

A) 23

If Keri gives 23 points to Luke, then Keri has 40 points and Luke 38, and the numbers are: 22, 38, 38, 40, 51. The new median is 38, but it has not increased.

B) 24

If Keri gives 24 points to Luke, then Keri has 39 points and Luke 39, and the numbers are: 22, 38, 39, 39, 51. The new median is 39, and it HAS increased.

Answer: B