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The average temperature in New Orland from January through A

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The average temperature in New Orland from January through A [#permalink] New post 16 May 2019, 00:06
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The average temperature in New Orland from January through August is 36°C. The minimum and the maximum temperatures between September and December are 26°C and 36°C, respectively.

Quantity A
Quantity B
The average temperature for the year
36°C


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The average temperature in New Orland from January through A [#permalink] New post 16 May 2019, 03:21
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Hi,

From the given question, the two important figures given are the average temperature of 8 months, i.e., 36 degrees, and the maximum and minimum temperatures in a span of 4 months.

Between January and August, the sum of all temperatures across 8 months comes out to be 288 degrees. This is the maximum we can manipulate the given numbers.

Between September and December, there is no manipulation that can be done. We cannot find the average of the months by adding the maximum and minimum values and dividing by 2, since the temperatures may not necessarily be in an Arithmetic Progression. Therefore, we have no idea of the overall temperature across these 4 months.

Clearly, only 1 of the 2 minimum requirements to solve this question are met, and therefore the answer is (D).

Please do correct me if I'm wrong. Thanks.
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Re: The average temperature in New Orland from January through A [#permalink] New post 27 Jul 2019, 12:48
Let's see the minimum average possible. Given the minimum temperature between September and December 26 degree celsius.

So average = (36*8 +26*4)/12= 32.67

Now consider the maximum average value possible,
It will be 36, when will consider temperature from September to December 36.
So D is the answer.
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Re: The average temperature in New Orland from January through A [#permalink] New post 30 Aug 2019, 11:18
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The maximum average possible is (8*36 + 4*36) / 12 = 36
The minimum average possible is (8*36 + 4*26) / 12 = 32.67

However, the question says the maximum and minimum temperatures from Sept to December are 26 and 36, so there should be at least one value of 36 or 26 from Sept to December.

Hence, the average can vary from 32.67 to 36 (both not inclusive), therefore B is the right answer.
Re: The average temperature in New Orland from January through A   [#permalink] 30 Aug 2019, 11:18
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The average temperature in New Orland from January through A

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