题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074423-41578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074423-98419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074423-28940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074423-80784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074423-59983.png)
现从某校高三年级的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-58092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-65813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-94841.png)
(Ⅰ)试估计该校高三年级体质为优秀的学生人数;
(Ⅱ)根据以上
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-65813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-44457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-44457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
(ⅰ)求在选出的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-51670.png)
(ⅱ)求选出的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-84431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-61768.png)
解析
试题分析:(Ⅰ)由茎叶图可知抽取的30名学生中体质优秀的有10人,所以优秀率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074426-96171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074426-50202.png)
试题解析:解:(Ⅰ)根据抽样,估计该校高三学生中体质为优秀的学生人数有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074426-32296.png)
(Ⅱ)依题意,体质为良好和优秀的学生人数之比为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074426-59073.png)
所以,从体质为良好的学生中抽取的人数为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074426-82736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074427-93286.png)
(ⅰ)设在抽取的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-44457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074427-66865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074427-88279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074427-81123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074427-64510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-15042.png)
则从
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074424-44457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-65314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-53377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-35949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-74525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-19986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-19480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-16097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-51565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-17900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-35038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-32349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-51670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-53377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074428-35949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-74525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-19986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-19480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-16097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-51565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-17900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-35038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-67883.png)
所以在选出的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-51670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-84431.png)
(ⅱ)“选出的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074429-51565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-17900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074430-35038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
所以选出的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-78774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074425-61768.png)
核心考点
试题【北京市各级各类中小学每年都要进行“学生体质健康测试”,测试总成绩满分为分,规定测试成绩在之间为体质优秀;在之间为体质良好;在之间为体质合格;在之间为体质不合格.】;主要考察你对简单随机抽样等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074417-19751.png)
| 应该取消 | 应该保留 | 无所谓 | ||
在校学生 | 2100人 | 120人 | y人 | ||
社会人士 | 600人 | x人 | z人 |
(Ⅰ)现用分层抽样的方法在所有参与调查的人中抽取360人进行问卷访谈,问应在持“无所谓”态度的人中抽取多少人?
(Ⅱ)在持“应该保留”态度的人中,用分层抽样的方法抽取6人平均分成两组进行深入交流,求第一组中在校学生人数ξ的分布列和数学期望.
A.简单随机抽样 | B.系统抽样 | C.随机数表法 | D.分层抽样 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074402-27875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074403-94519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074403-38248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074403-55700.png)
(1)补全频率分布直方图,并求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074404-75855.png)
(2)从年龄在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074404-94025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074404-13419.png)
(1)在志愿者中用分层抽样方法随机抽取5名,年龄大于40岁的应该抽取几名?
(2)上述抽取的5名志愿者中任取2名,求取出的2人中恰有1人年龄大于40岁的概率.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074353-22477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074353-83062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074353-40967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026074353-58452.png)
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