题目内容
从某项综合能力测试中抽取10人的成绩,统计如下表,则这10人成绩的方差为________.
分数 | 5 | 4 | 3 | 2 | 1 |
人数 | 3 | 1 | 1 | 3 | 2 |
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考查统计初步知识,先求平均数,
=
(5×3+4×1+3×1+2×3+1×2)=3,再根据方差公式
s2=
(xi-
)2代入数据,
s2=
[3×(5-3)2+(4-3)2+(3-3)2+3×(2-3)2+2×(1-3)2]计算得方差
.
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s2=
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s2=
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