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Updated on: 07 Mar 2026, 09:19
Originally posted by MartyMurray on 09 Aug 2025, 12:29.
Last edited by MartyMurray on 07 Mar 2026, 09:19, edited 2 times in total.
Last edited by MartyMurray on 07 Mar 2026, 09:19, edited 2 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:35) correct
35%
(01:54)
wrong
based on 195
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Team A and Team B have the same number of players on them. Was the mean number of points scored by a player on Team A greater than the mean number of points scored by a player on Team B?
(1) The median number of points scored by a player on Team A was greater than the median number of points scored by a player on Team B.
(2) The range of the number of points scored by a player on Team A was the same as the range of the number of points scored by a player on Team B.
Source: Marty Murray Coaching
(1) The median number of points scored by a player on Team A was greater than the median number of points scored by a player on Team B.
(2) The range of the number of points scored by a player on Team A was the same as the range of the number of points scored by a player on Team B.
Source: Marty Murray Coaching
Updated on: 09 Aug 2025, 14:09
Originally posted by gmatophobia on 09 Aug 2025, 14:02.
Last edited by gmatophobia on 09 Aug 2025, 14:09, edited 1 time in total.
Last edited by gmatophobia on 09 Aug 2025, 14:09, edited 1 time in total.
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MartyMurray
As the number of players on both the teams is same, we can reframe the questiona as "Does the total number of points scored by Team A exceed that of Team B?"
Statement 1
(1) The median number of points scored by a player on Team A was greater than the median number of points scored by a player on Team B.
The median tells us the middle score when the players' scores are arranged in ascending or decending order.
From Statement 1, we can infer that the middle player on Team A outscored the middle player on Team B. However, we cannot infer anything on the total score. A high score or a low score can pull the average up or down without affecting the median much.
So, even if Team A’s middle score is higher, Team B could still have a higher total if it has some extremely high‐scoring players or vice versa.
Statement 1 is not sufficient to answer the question.
Statement 2
(2) The range of the number of points scored by a player on Team A was the same as the range of the number of points scored by a player on Team B.
From this statement we can conclude that the difference between the highest and lowest score between both the teams is equal. However, we have no information on how scores in between are distributed.
Teams could have very different totals even if their ranges match, because the positions of the scores within that range can greatly change the total.
Statement 2 is not sufficient to answer the question.
Combined
The statements combined don't help either. That’s because the mean is shaped by every score, not just the middle or the extremes.
Even with the above two statements, the other scores could be distributed in ways that make either team’s average higher. For example, Team B could have one or two extremely high scores that push its mean above Team A’s despite having a lower median.
Case 1:
Team A: 10, 20, 30
Team B: 0, 15, 20
Total for Team A > Total for Team B
Case 2:
Team A: 0, 19, 20
Team B: 10, 15, 30
Total for Team B > Total for Team A
Hence, the statements combined don't help either.
Option E
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