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# The average (arithmetic mean) high temperature for x days i

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The average (arithmetic mean) high temperature for x days i [#permalink]  22 May 2017, 01:40
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90% (01:12) correct 10% (01:18) wrong based on 30 sessions

The average (arithmetic mean) high temperature for x days is 70 degrees. The addition of one day with a high temperature of 75 degrees increases the average to 71 degrees.

 Quantity A Quantity B x 5

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 (arithmetic mean) high temperature for x days i [#permalink]  10 Oct 2017, 07:51
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Reversing the formula for the mean it is easy to see that if the mean of temperatures in x days is 70, the sum of these temperatures is 70x.

Then, statement two can be rewritten in formula as $$\frac{70x+75}{x+1} = 71$$, from which we can get that $$x = 4$$.

Since 4 < 5, quantity B is larger!
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Re: The average (arithmetic mean) high temperature for x days i [#permalink]  29 Sep 2018, 11:36
Re: The average (arithmetic mean) high temperature for x days i   [#permalink] 29 Sep 2018, 11:36
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