题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133757-99671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133757-22573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-66487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-48971.png)
(Ⅰ)求分数在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-70087.png)
(Ⅱ)统计方法中,同一组数据常用该组区间的中点值作为代表,据此估计本次考试的
平均分;
(Ⅲ)若从
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133757-99671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-14694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-93902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-71885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-36228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-42362.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-67623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-14694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-85811.png)
答案
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-60192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133801-27165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133801-29477.png)
(Ⅱ)平均分为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133801-23671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![]() | 0 | 1 | 2 | 3 | 4 |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133803-66381.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-70087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133803-39918.png)
(2)中结合平均值可以得到平均分为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133804-14769.png)
(3)中用
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-93902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133804-94536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-36228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133804-72210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-67623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133805-51197.png)
(Ⅰ)设分数在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133758-70087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133805-87984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133805-16492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133803-39918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133801-27165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133801-29477.png)
(求解频率3分,画图1分)
(Ⅱ)平均分为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133806-50868.png)
(Ⅲ)学生成绩在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-93902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133804-94536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133759-36228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133804-72210.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-67623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133805-51197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133806-10557.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133806-72979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133806-89840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133807-70645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133807-77674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133807-83742.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133800-87334.png)
![]() | 0 | 1 | 2 | 3 | 4 |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133807-42530.png)
核心考点
试题【某校从参加高三年级理科综合物理考试的学生中随机抽出名学生,将其数学成绩(均为整数)分成六段,…后得到如下部分频率分布直方图.观察图形的信息,回答下列问题:(Ⅰ)】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133754-11554.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133751-82684.png)
A.容量,方差 | B.容量,平均数 |
C.平均数,容量 | D.标准差,平均数 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133747-80570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133748-48072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133743-63668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133743-53606.png)
组数 | 分组 | 房地产投资的人数 | 占本组的频率 |
第一组 | [25,30) | 120 | 0.6 |
第二组 | [30,35) | 195 | p |
第三组 | [35,40) | 100 | 0.5 |
第四组 | [40,45) | a | 0.4 |
第五组 | [45,50) | 30 | 0.3 |
第六组 | [50,55] | 15 | 0.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133743-83616.png)
(1)补全频率分布直方图,并求出
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133744-96322.png)
(2)根据频率分布直方图,估计:“房地产投资”人群的平均年龄.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133736-94670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133736-24159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133736-92686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133736-89655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133737-35028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133737-94597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133737-13486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133737-97197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133738-80020.png)
(1)列出频率分布表(含累积频率);
(2)画出频率分布直方图以及频率分布折线图;
(3)据上述图表,估计数据落在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026133738-53566.png)
(4)数据小于11.20的可能性是百分之几?
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