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x, 3, 1, 12, 8
If x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers?
(1) x > 6
(2) x is greater than the median of the 5 numbers.
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
1)x>6,平均数>6,中位数有可能是6,8,不能比较
2)x大于中位数,说明x>8,平均数未知,不能比较
1)+2)只能求出x>8,中位数是8,不能得出具体的平均值
小良冠二郎
错选d,其实仔细思考就可以发现,条件1里的median只能是7和8,但是average可以是无限大,所以insufficient。同理,条件2里median最大也只能是8,而average也可以是无限大的。
Vincent Hu
(1)取x最小7,x等于7,中位数为7,经过计算,中位数大于平均数 取x最大正无穷,中位数为8,中位数小于平均数 所以无法确定 (2)x大于数列的中位数,那么x一定大于8,取x最小等于9,经过计算,中位数8大于平均数6.6 取x最大正无穷,中位数为8,中位数小于平均数 所以无法确定
AlexYang
这题的关键是,median最大是8,但是条件(1)或(2),得出的average可以是6到∞。
gmat前女友
average=(24+x)/5 (1)如果x=7,median=7,average=6.2,median>average;如果x=16,average=8=median; (2)media=8,x>8,如果x=9,average=6.6,median>average;如果x=16,average=8=median; 如果同时满足条件1、2,同(2)。
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