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30 Jun 2024, 14:35
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D
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70% (01:26) correct
30%
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Ann, Beth, and Steve each spent some amount of time on a certain project last week. If the average (arithmetic mean) amount of time that the 3 people spent on the project last week was 15 hours per person, what was the median amount?
(1) Last week Ann and Beth spent a total of 30 hours on the project
(2) Last week Steve spent 15 hours on the project
(1) Last week Ann and Beth spent a total of 30 hours on the project
(2) Last week Steve spent 15 hours on the project
30 Jun 2024, 15:08
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Ann, Beth, and Steve each spent some amount of time on a certain project last week. If the average (arithmetic mean) amount of time that the 3 people spent on the project last week was 15 hours per person, what was the median amount?
Given that A + B + S = 15 * 3 = 45, we are asked to find the median of {A, B, S}.
(1) Last week Ann and Beth spent a total of 30 hours on the project
This means A + B = 30, making S equal to 15, which is the average. Since both A and B cannot be less than the average or both cannot be more than the average, we would have one of the following two cases: A ≤ 15 ≤ B or B ≤ 15 ≤ A. Thus, the median, the middle value, is 15. Sufficient.
(2) Last week Steve spent 15 hours on the project
This directly gives S = 15, which makes this statement sufficient by the same logic as above.
Answer: D.
P.S. Can you please post a screenshot of the question? That would be very helpful. Thank you.
Given that A + B + S = 15 * 3 = 45, we are asked to find the median of {A, B, S}.
(1) Last week Ann and Beth spent a total of 30 hours on the project
This means A + B = 30, making S equal to 15, which is the average. Since both A and B cannot be less than the average or both cannot be more than the average, we would have one of the following two cases: A ≤ 15 ≤ B or B ≤ 15 ≤ A. Thus, the median, the middle value, is 15. Sufficient.
(2) Last week Steve spent 15 hours on the project
This directly gives S = 15, which makes this statement sufficient by the same logic as above.
Answer: D.
P.S. Can you please post a screenshot of the question? That would be very helpful. Thank you.
16 Sep 2024, 05:06
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The question is from GMAT Official Mock 4
Bunuel
Ann, Beth, and Steve each spent some amount of time on a certain project last week. If the average (arithmetic mean) amount of time that the 3 people spent on the project last week was 15 hours per person, what was the median amount?
Given that A + B + S = 15 * 3 = 45, we are asked to find the median of {A, B, S}.
(1) Last week Ann and Beth spent a total of 30 hours on the project
This means A + B = 30, making S equal to 15, which is the average. Since both A and B cannot be less than the average or both cannot be more than the average, we would have one of the following two cases: A ≤ 15 ≤ B or B ≤ 15 ≤ A. Thus, the median, the middle value, is 15. Sufficient.
(2) Last week Steve spent 15 hours on the project
This directly gives S = 15, which makes this statement sufficient by the same logic as above.
Answer: D.
P.S. Can you please post a screenshot of the question? That would be very helpful. Thank you.
Given that A + B + S = 15 * 3 = 45, we are asked to find the median of {A, B, S}.
(1) Last week Ann and Beth spent a total of 30 hours on the project
This means A + B = 30, making S equal to 15, which is the average. Since both A and B cannot be less than the average or both cannot be more than the average, we would have one of the following two cases: A ≤ 15 ≤ B or B ≤ 15 ≤ A. Thus, the median, the middle value, is 15. Sufficient.
(2) Last week Steve spent 15 hours on the project
This directly gives S = 15, which makes this statement sufficient by the same logic as above.
Answer: D.
P.S. Can you please post a screenshot of the question? That would be very helpful. Thank you.
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