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09 Oct 2019, 00:26
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D
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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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09 Oct 2019, 00:37
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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)
28 Feb 2020, 08:19
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Bunuel
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
