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Set T consists of all multiples of 5 from 30 to 225 inclusiv

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Bunuel
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Set T consists of all multiples of 5 from 30 to 225 inclusiv [#permalink] New post   22 Oct 2017, 06:06
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Set T consists of all multiples of 5 from 30 to 225 inclusive

Quantity A
Quantity B
Mean of Set T
Median of Set T


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


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C
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IlCreatore
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Re: Set T consists of all multiples of 5 from 30 to 225 inclusiv [#permalink] New post   22 Oct 2017, 09:00
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The mean of set S is computed as \(\frac{\frac{40}{2}(30+225)}{40} = 127.5\) using the formula for the sum of an arithmetic series at the numerator. The median of S, given that S has 40 elements, is the mean of the 20 and 21 elements of the series, i.e. \(\frac{125+130}{2} = 127.5\). Then quantities A and B are equal and answer is C
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Re: Set T consists of all multiples of 5 from 30 to 225 inclusiv [#permalink] New post   23 Mar 2019, 16:48
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IlCreatore wrote:
The mean of set S is computed as \(\frac{\frac{40}{2}(30+225)}{40} = 127.5\) using the formula for the sum of an arithmetic series at the numerator. The median of S, given that S has 40 elements, is the mean of the 20 and 21 elements of the series, i.e. \(\frac{125+130}{2} = 127.5\). Then quantities A and B are equal and answer is C



Any set that is evenly distributed will have mean = median. In this case, the list os equally distributed as a multiple of 5. Ans - C
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Re: Set T consists of all multiples of 5 from 30 to 225 inclusiv [#permalink] New post   11 Jul 2022, 09:19
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Set T consists of all multiples of 5 from 30 to 225 inclusive
T = {30, 35,..., 220, 225} each value is consistently different by 5 points with its previous value and/or next value
Thus the following rule applies: "For an evenly spaced set, the mean will always be the median."

Quantity A: Mean of Set T
Quantity B: Median of Set T

Correct answer: C. The two quantities are equal
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gmatclubot
Re: Set T consists of all multiples of 5 from 30 to 225 inclusiv [#permalink]
11 Jul 2022, 09:19
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