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Over five different years, the total rainfall in Brooks County was, in
[#permalink]
09 Oct 2019, 00:26
09 Oct 2019, 00:26
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Question Stats:
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wrong
based on 76
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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
A. 30
B. 32
C. 35
D. 36
E. 40
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WE:Sales (Other)
Over five different years, the total rainfall in Brooks County was, in
[#permalink]
09 Oct 2019, 00:37
09 Oct 2019, 00:37
Since we are given that the list is in ascending order, the median rainfall is \(x\) inches.
We are also told that Mean = Median
That is, \(\frac{15+24+x+45+60}{5} = x\)
\(144+x=5x\)
\(x=36\)
Answer is (D)
We are also told that Mean = Median
That is, \(\frac{15+24+x+45+60}{5} = x\)
\(144+x=5x\)
\(x=36\)
Answer is (D)
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Re: Over five different years, the total rainfall in Brooks County was, in
[#permalink]
28 Feb 2020, 08:19
28 Feb 2020, 08:19
Expert Reply
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
A. 30
B. 32
C. 35
D. 36
E. 40
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
