名校
解题方法
1 . 已知一组数据
,
,
,
,
的平均数是2,方差是
,那么另一组数据
,
,
,
,
的平均数为__________ ,方差为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457e3fb6b5470198653393f335e9d49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330f1c061148d834ef1f59835f51d848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccc546de1df8f7a6c9e201ea9c2fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495698ec4b359463786eda51182588e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258fad62c1ee3591259f0fbdb697f3c3.png)
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2 . 设样本数据
的方差是5,若
,则
的方差为_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f87a4ff5de7025aa5dd9f7bc124314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afda600cb8209c8ddfad360a3ffc646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68708740a2a1fcfdb01c656c99d2cc50.png)
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2020-02-10更新
|
508次组卷
|
3卷引用:2019届重庆南开中学高三第五次教学质量检测考试理科数学试题
名校
3 . 某工厂为了解产品的生产情况,随机抽取了100个样本.若样本数据
,
,…,
的方差为16,则数据
,
,…,
的方差为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e4c6544ede4573bd9a07d116f5cfb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64b64a52252e4bd1651317bb0401cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03dcc845b4868ba3086b9b08c3db05a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d83955b9fb3c80b4bcb466265f36b3.png)
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2020-01-31更新
|
597次组卷
|
4卷引用:2020届广东省华南师大附中、实验中学、广雅中学、深圳中学高三上学期期末联考文科数学
名校
4 . 设有两组数据:
与
,它们之间存在关系式:
(
,其中
非零常数),若这两组数据的方差分别为
和
,则
和
之间的关系是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0461ce5f55b64a6fbfc470c94b72a82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bef744e35d6f613591fb9267318f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e876e61dfa2475d8a8594eebb5e5ffa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3a4b57881ed7c3b8b16a348e1481b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dac37ec0f99e269921f62f054cbf0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82de48c0da34be6489ba22eb24eb7cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dac37ec0f99e269921f62f054cbf0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82de48c0da34be6489ba22eb24eb7cda.png)
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2019-11-13更新
|
413次组卷
|
3卷引用:2019年上海市上海中学高三下学期数学测试2数学试题
2019年上海市上海中学高三下学期数学测试2数学试题(已下线)模块18 基本统计方法-2022年高考数学一轮复习小题多维练(上海专用)江苏省南京市九校联合体2022-2023学年高一下学期期末联考数学试题
5 . 已知一组数据
,
,
,
,
的方差为
,则数据2
,2
,2
,2
,2
的方差为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
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解题方法
6 . 已知一组数据
的方差是2,则数据
的标准差为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86196c04cec356979da912259a38d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e3c625e57d7bc44b94a41667b86d89.png)
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解题方法
7 . 若数据
的方差为3,则数据
的方差为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cc57d2cc32dd06b420193cb79a817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061900df6dc3a32764d0c07192d4dd9a.png)
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2018-02-08更新
|
569次组卷
|
2卷引用:广西南宁市第二中学2017-2018学年高一上学期末期考试数学试题
8 . 已知一组数据的标准差为
,将这组数据都扩大3倍,所得到的一组新数据的方差是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
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