题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-70478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-27601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-73109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-67859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-73109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-91288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-91288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095345-66526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095345-57028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-67859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095345-49142.png)
(Ⅰ)求第七组的频率;
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095345-88182.png)
(Ⅱ)估计该校的
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095344-70478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-65289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-65289.png)
(Ⅲ)若从身高属于第六组和第八组的所有男生中随机抽取两名男生,记他们的身高分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-37122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-10055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-19725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-14337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-85905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-39972.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-62227.png)
(2))
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-81832.png)
解析
试题分析:(Ⅰ)第六组的频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-98724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-93699.png)
(Ⅱ)身高在第一组[155,160)的频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-61967.png)
身高在第二组[160,165)的频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-12854.png)
身高在第三组[165,170)的频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095349-66948.png)
身高在第四组[170,175)的频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095349-66948.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095349-40315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095349-25487.png)
估计这所学校的800名男生的身高的中位数为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095349-30864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095350-56120.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095350-56975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095350-60718.png)
所以可估计这所学校的800名男生的身高的中位数为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-62227.png)
由直方图得后三组频率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095350-45431.png)
所以身高在180cm以上(含180cm)的人数为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095350-18121.png)
(Ⅲ)第六组
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095351-31197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095351-63032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095351-81231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095351-89057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-54321.png)
因事件
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-10055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095346-19725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-47757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-46086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-93463.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-35939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-14337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095347-85905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095353-11375.png)
由于事件
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095352-47757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095353-30586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095348-81832.png)
点评:主要是考查了频率与概率以及互斥事件的概率和的运用,属于中档题。
核心考点
试题【从某学校的名男生中随机抽取名测量身高,被测学生身高全部介于cm和cm之间,将测量结果按如下方式分成八组:第一组[,),第二组[,),…,第八组[,],右图是按上】;主要考察你对用样本的频率分布估计总体分布等知识点的理解。[详细]
举一反三
A.1,2,3,4,5 | B.2,4,6,8,10 |
C.5,16,27,38,49 | D.4,13,22,31,40 |
电话 | 动迁户 | 原住户 |
已安装 | 65 | 30 |
未安装 | 40 | 65 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095330-77856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095330-33757.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095327-23983.png)
A.32 | B.0.2 | C.40 | D.0.25 |
x | 2 | 3 | 4 | 5 | 6 |
y | 3 | 4 | 6 | 8 | 9 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095324-23630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026095324-46075.png)
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