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单选题
The average of a, b, c, and d is p. If the average of a and c is q, what is the average of b and d in terms of p and q?
A
2p+q
B
2p – q
C
2q +p
D
2q-p
E
(2p+q)/3
参考答案
参考解析
解析:
The average of a, b, c, and d is p, so (a + b + c + d)/4 = p, or a+b+c+d = 4p. Similarly, since the average of a and c is q, then a+c = 2q, so b+d+2q = 4p. Since b+d = 4p - 2q, then (b +d)/2 = 4p/2 - 2q/2 = 2p –q.
The average of a, b, c, and d is p, so (a + b + c + d)/4 = p, or a+b+c+d = 4p. Similarly, since the average of a and c is q, then a+c = 2q, so b+d+2q = 4p. Since b+d = 4p - 2q, then (b +d)/2 = 4p/2 - 2q/2 = 2p –q.
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