解题方法
1 . 黄冈市一中学高一年级统计学生本学期
次数学周测成绩(满分
),抽取了甲乙两位同学的
次成绩记录如下:
![](https://img.xkw.com/dksih/QBM/2021/7/3/2756182890135552/2780130374492160/STEM/a07d827d-4ec5-42ef-9d59-ff2692a30f11.png?resizew=266)
甲:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634ada50a88e5b6571c9e6d0f3df5c4a.png)
乙:
(1)根据以上记录数据求甲乙两位同学成绩的中位数,并据此判断甲乙两位同学的成绩谁更好?
(2)将同学乙的成绩分成
,完成下列频率分布表,并画出频率分布直方图;
(3)现从甲乙两位同学的不低于
分的成绩中任意取出
个成绩,求取出的
个成绩不是同一个人的且没有满分的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7afc6e67a875ed2eb889e950a77715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://img.xkw.com/dksih/QBM/2021/7/3/2756182890135552/2780130374492160/STEM/a07d827d-4ec5-42ef-9d59-ff2692a30f11.png?resizew=266)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634ada50a88e5b6571c9e6d0f3df5c4a.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b96b2ebbed1660cb9b9cbc0c9874f8a.png)
(2)将同学乙的成绩分成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4dca2f4e1ffe46507effc8a12561aa.png)
分组 | 频数 | 频率 |
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合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e85c53a287e873f35c9ca64972023c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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