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Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inches,

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Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inches,

by BTGmoderatorDC » Wed Feb 12, 2020 7:01 pm

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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



OA D

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Re: Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inch

by Jay@ManhattanReview » Wed Feb 12, 2020 9:01 pm
BTGmoderatorDC wrote: ↑
Wed Feb 12, 2020 7:01 pm
 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

OA D

Source: Veritas Prep
Since the rainfalls are given in ascending order: 15 inches, 24 inches, x inches, 45 inches, and 60 inches, the middle-most value, i.e., x would be the median.

So, median = x inches

Average of 15 inches, 24 inches, x inches, 45 inches, and 60 inches = (15 + 24 + x + 45 + 60)/5 (144 + x)/5 inches

=> (144 + x)/5 = x (given);

=> x = 36 inches

The correct answer: D

Hope this helps!

-Jay
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Re: Over five different years, the total rainfall in Brooks County was, in ascending order, 15 inches, 24 inches, x inch

by Scott@TargetTestPrep » Sun Feb 16, 2020 7:12 am
BTGmoderatorDC wrote: ↑
Wed Feb 12, 2020 7:01 pm
 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



OA D

Source: Veritas Prep
We see that x must be the median and also the average annual rainfall. We can create the equation:

(15 + 24 + x + 45 + 60) / 5 = x

144 + x = 5x

144 = 4x

36 = x

Answer: D

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