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Re: The average temperature in New Orland from January through A [#permalink]
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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.
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Re: The average temperature in New Orland from January through A [#permalink]
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Theory

    ➡ Range = Highest Value - Lowest Value

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

Quantity A: The average temperature for the year

Now, the average temperature till August is 36°C, but between September to December the temperature varied between 26°C and 36°C.
Also, we are given that the minimum temperature recorded is 26°C and maximum is 36°C
=> There is at least one day in which temperature was 26°C.
So, total average will be lower than 36°C as there is no temperature greater than 36°C to balance out the temperature of 26°C, which is lower than 36°C.

Clearly, Quantity A (< 36°C) < Quantity B(36°C)

So, Answer will be B.
Hope it helps!

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