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( ).A0B2.5C3D5
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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