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八年级上学期第十四周周周清数学试卷

八年级上学期第十四周周周清数学试卷
八年级上学期第十四周周周清数学试卷

八年级上学期第十四周周周清数学试卷

制卷人:西岗中学李晓宇考查范围:数据的代表 使用时间:2013.12.7 (满分:100分,考试时间:50分钟)

1. 在数据1,2,4,4,3,3,9,3,6中,其众数是__________,中位数是____________.

2. 在一次知识竞赛中,10名学生的得分如下:80,84,78,76,88,97,82,67,75,71,则他们的平均成绩为____________.

3. 1个2,2个3,3个4,…,9个10,10个11的平均数是________.

4. 如果五位同学百米赛跑的成绩(单位:秒)依次为12,12.2,11.8,13,x,平均成绩为12秒,则x=___________.

5.

某校规定学生的学期体育成绩由三部分组成:体育课外活动占学期成绩的10%,理论测试占30%,体育技能测试占60%,一名同学上述的三项成绩依次为90,92,73,则该同学这学期的体育成绩为_______.

6.

:

(1) 该组数据的中位数是_________,众数是__________; (2) 该城市一年中日平均气温为26℃的约有_________天;

(3) 若日平均气温在17℃-23℃为市民”满意温度”,则该市一年中达到市民”满意温度”

的约有_______天.

7. 在数据-1,0,4,5,8中插入一个数据x,使得该数据组的中位数为3,则x=________. 8. 一个班的25名男生中,身高为1.79米的1人,4人身高为1.75米,9人身高为1.70,8人

身高为 1.65,2人身高为 1.60米,1人身高为 1.56米,则这个班男生身高的众数为___________,中位数为_________.

9. 在统计状态下,连续输入7个2的简便操作为________.

10. 在统计状态下,计算8个16与9个27的平均数为_________.

`11. 某商场一天中售出李宁牌运动鞋11双,其中各种尺码的鞋的销售量如下表所示,则这11双鞋的尺码组成的一组数据中,众数和中位数分别为 ( )

A. 25,25

B. 24.5,25

C. 26,25

D. 25,24.5

12. 某班一次语文测验的成绩如下: 得100分的3人,得95分的5人,得90分的6人,得80分的12人,得70分的16人,得60分的5人,则该班这次语文测验的众数是 ( ) A. 70分 B. 80分 C. 16人 D. 10人 13. 10名工人某天生产同一零件,生产的件数是15,17,14,10,15,17,17,16,14,12.设其平均数为a,中位数为b,众数为c,则有 ( )

A. a>b>c

B. b>c>a

C. c>a>b

D. c>b>a

14. 已知一组数据x 1,x 2,…, x 10,其中x 1, x 2, x 3的平均数为a, x 4, x 5, x 6,…, x 10的平均数为b,则这组数据的平均数为 ( )

班 级 姓 名 考号

A.

2b a + B. 1073b a + C. 1037b a + D. 10b

a + 15. 若x 个数的平均数为a,y 个数的平均数为b,则这(x+y)个数的平均数是 ( ) A.

2b a + B. b x y a ++ C. y

x yb

xa ++ D. b a yb xa ++ 16. 已知x 1, x 2, x 3, x 4的平均数是a,则3x 1-5,3x 2-8, 3x 3-6,3x 4-1的平均数为 ( )

A. a

B. 3a

C. 3a-5

D. 3a-8 17. 以下各组数据中,众数,中位数,平均数都相等的是 ( )

A. 4,9,3,3

B. 12,9,9,6

C. 9,9,4,4

D. 8,8,4,5

18. 已知2,4,2x,4y 四个数的平均数是5, 5,7,4x,6y 四个数的平均数是9,则x 2+y 2

的值是 ( )

A. 12

B. 13

C. 15

D. 17

19. 要了解某地农民用电情况,抽查了部分农民在一个月中用电情况,其中用电15度有3户,用电20度有5户,用电30度有7户,那么平均每户用电 ( )

A. 23.7度

B. 21.6度

C. 20度

D. 5.416度 20. 一组数据:1,2,3,4,5,3,10的中位数,众数分别为 ( )

A. 3,3

B. 5,3

C. 3,4

D. 5,10 21. 估计下面一组数据的平均数,然后用计算器求它们的平均数(结果保留到个位) 158 176 134 165 171 159 144 161 166 159 148 155 152 148

22. 如果一组数据x 1, x 2,…,x n 的平均数等于-

x ,那么另一组数据mx 1+p,mx 2+p,…,mx n +p 的平均数有怎样的变化?

23. 据调查,某班级30名学生所穿鞋子的尺码如下表所示:

问:用什么数值来代表该班全体学生所穿鞋子的尺码最合适?为什么?

24. 某市实行中考改革,需要根据市中学生体能的实际情况重新制定中考体育标准.为此,抽取了50:

(1) 求这次测评数据的平均数,众数和中位数;

(2) 根据这组数据的特点,你认为该市中考女生一分钟仰卧起坐项目测试的合格标准应

定为多少次较为合适?请说明理由.

25. 某饮食公司为一学校提供午餐,有3元,4元和5元三种价格的饭菜供师生选择(每人限定一份).下面是十月份的销售统计图,这个月一共销售了10400份饭菜,那么师生购买午餐费用的平均数,中位数和众数各是多少?

26. 某一年级共有两个班级,在一次数学测验中,一班的平均分是-

x ,二班的平均分是-

y ,有

一位同学求出年级的平均分是2

1(-x +-

y ),但是,另一位同学指出这样的计算不正确.请提出

你的观点,并进行分析.

27. 从2001年2月21日0时起,中国电信执行新的收费标准,其中本地网业区内通话费是:前3分钟为0.2元(不足3分钟的按三分钟计算),以后每分钟收0.1元(不足1分钟的按1分钟计算).上星期天,一位同学调查了A,B,C,D,E 五位同学达本地网营业区电话的通话时间情况,

(1) 问D 同学这天的话费是多少?

(2) 调整前执行的受费标准是:每3分钟为0.2元(不足3分钟的按三分钟计算),那么这五

位同学这天的实际平均通话费,与用原电话受费标准算出的平均通话费相比,是增多了还是减少了?若增多,多多少?若减少,少多少?

28. 一组数据为:13.7,14.6,12.5,17.3,13.6,14.7,13.7,14.5,13.7,15.0. (1) 求它的众数,中位数,并用计算器求其平均数.

(2) 在众数,中位数,平均数中,哪个更能反映这组数据的共同趋势?

29. 某校九年级,甲,乙两班举行汉字输入速度比赛,两个班参加表示的学生每分钟输入汉字的个数,统计为下表:

次数

如果以每分钟输入汉字达150个以上为优秀,你认为哪个班优秀人数多?请说明理由.

30. 某种商品共10件,第一天以25元/件卖出2件,第二天以20元/件卖出

3件,第三天以18元/件卖出5件,则这种商品的平均售出价为多少?

31.为了了解学生的体能情况,随机抽取了某校一个年级的部分学生进行一分钟跳绳次数测试,将所得数据整理后,画出频数分布直方图如图所示,已知图中从左到右前四个小组的频数之比为1︰3︰4︰2,且第一小组的频数为5。

(1)参加这次测试的学生数是多少?

(2)若次数在75次以上(含75次)为达标,试估计该年级学生跳绳测试的达标率是多少。 (3)这次跳绳次数的中位数落在四个小组中的哪个小组内?请说明理由。

32甲、乙两人在相同条件下各射靶10次,每次射靶的成绩情况如图所示.

(1)请填写下表: 平均数 中位数 命中9环(含9环)以上次数 甲 乙

(2)请从下列三个不同的角度对这次测试结果进行分析:①从平均数和中位数相结合看,分析谁的成绩好些;②从平均数和命中9环以上的次数相结合看,分析谁的成绩好些;③从折线图上两人射击命中环数走势看,分析谁更有潜力.

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