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# Over five different years, the total rainfall in Brooks County was, in

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Math Expert
Joined: 02 Sep 2009
Posts: 44586
Over five different years, the total rainfall in Brooks County was, in [#permalink]

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11 Apr 2018, 21:24
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Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inches, 45 inches, and 60 inches. If the average annual rainfall was equal to the median annual rainfall for those five years, what was the average rainfall?

A. 30
B. 32
C. 35
D. 36
E. 40
[Reveal] Spoiler: OA

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Over five different years, the total rainfall in Brooks County was, in [#permalink]

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12 Apr 2018, 00:57
Bunuel wrote:
Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inches, 45 inches, and 60 inches. If the average annual rainfall was equal to the median annual rainfall for those five years, what was the average rainfall?

A. 30
B. 32
C. 35
D. 36
E. 40

Since the total rainfall in Brooks County is in ascending order, the median is the third element - x.

Given: Average = Median ($$\frac{15+24+x+45+60}{5}= x$$)

Solving for x, we get $$144+x = 5x$$ -> $$4x = 144$$ ->$$x = \frac{144}{4} = 36$$

Therefore, the average rainfall in Brooks County is 36(Option D)
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Over five different years, the total rainfall in Brooks County was, in   [#permalink] 12 Apr 2018, 00:57
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