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单选题
若一组数据1，2，3，4，x的平均数与中位数相同，则实数x的值不可能是（ ）．
A
0
B
2.5
C
3
D
5
参考答案
参考解析
解析：
若x≤2，则中位数为2，由1＋2＋3＋4＋x＝2×5，解得x＝0；若2＜x≤3，则中位数为x，由1＋2＋3＋4＋x＝5x，解得x＝2.5；若x＞3，则中位数为3，由1＋2＋3＋4＋x＝3×5，解得x＝5．
若x≤2，则中位数为2，由1＋2＋3＋4＋x＝2×5，解得x＝0；若2＜x≤3，则中位数为x，由1＋2＋3＋4＋x＝5x，解得x＝2.5；若x＞3，则中位数为3，由1＋2＋3＋4＋x＝3×5，解得x＝5．
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