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The average of 34, 46, 42, 30, 38, and 26
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16 Jan 2023, 04:17
16 Jan 2023, 04:17
Expert Reply
00:00
Question Stats:
94% (00:36) correct
5% (00:50) wrong based on 18 sessions
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Quantity A |
Quantity B |
The average of 34, 46, 42, 30, 38, and 26 |
36 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: The average of 34, 46, 42, 30, 38, and 26
[#permalink]
18 Jan 2023, 05:00
18 Jan 2023, 05:00
Expert Reply
OE
When the numbers given in Quantity A are written in ascending order, it can be seen that they are evenly spaced in increments of 4: the set becomes {26, 30, 34, 38, 42, 46}. The average (mean) of an evenly spaced set is the same as its median, which is the middle number. In this case, because the number of terms is even, the median is given by the average of the middle two terms: 34+38/2=36
C is the answer
When the numbers given in Quantity A are written in ascending order, it can be seen that they are evenly spaced in increments of 4: the set becomes {26, 30, 34, 38, 42, 46}. The average (mean) of an evenly spaced set is the same as its median, which is the middle number. In this case, because the number of terms is even, the median is given by the average of the middle two terms: 34+38/2=36
C is the answer
gmatclubot
Re: The average of 34, 46, 42, 30, 38, and 26 [#permalink]
18 Jan 2023, 05:00
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