1、单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,2.2.1,用样本的频率分布估计总体分布(二),复习回顾,月均用水量,/t,频率,组距,0.5,0.4,0.3,0.2,0.1,0.5 1 1.5 2 2.5 3 3.5 4 4.5,O,频率分布,折线图和茎叶图,频率,组距,0.5,0.4,0.3,0.2,0.1,0.5 1 1.5 2 2.5 3 3.5 4 4.5,O,月均用水量,/t,频率,组距,0.5,0.4,0.3,0.2,0.1,0.5 1 1.5 2 2.5 3 3.5 4 4.5,月均用水量,/t,月均用水量,/t,频率,组距,a b,O,
2、月均用水量,/t,频率,组距,a b,O,总体密度曲线,月均用水量,/t,频率,组距,a b,O,月均用水量,/t,频率,组距,a b,O,总体密度曲线,总体在区间,(,a,,,b,)内取,值的百分比,.,【,例,】,某赛季甲、乙两名篮球运动员每场,比赛的得分情况如下:,甲运动员得分:,13,,,51,,,23,,,8,,,26,,,38,,,16,,,33,,,14,,,28,,,39,;,乙运动员得分:,49,,,24,,,12,,,31,,,50,,,31,,,44,,,36,,,15,,,37,,,25,,,36,,,39.,【,例,】,某赛季甲、乙两名篮球运动员每场,比赛的得分情况如
3、下:,甲运动员得分:,13,,,51,,,23,,,8,,,26,,,38,,,16,,,33,,,14,,,28,,,39,;,乙运动员得分:,24,,,31,,,30,,,31,,,44,,,36,,,15,,,37,,,25,,,36,,,39.,甲,乙,8,4 6 3,3 6 8,3 8 9,1,0,1,2,3,4,5,5,4,6 0 1 6,7 9,甲运动员得分:,13,,,51,,,23,,,8,,,26,,,38,,,16,,,33,,,14,,,28,,,39,;,乙运动员得分:,24,,,31,,,30,,,31,,,44,,,36,,,15,,,37,,,25,,,36,,
4、39.,甲,乙,8,4 6 3,3 6 8,3 8 9,1,0,1,2,3,4,5,5,4,6 0 1 6,7 9,甲,乙,8,4 6 3,3 6 8,3 8 9,1,0,1,2,3,4,5,5,4,6 0 1 6,7 9,01234,8,0 5,0 5 7,1 1 5,3,茎,叶,C,A,3,为了了解某地区高三学生的身体发育情况,抽查了该地区,100,名年龄为,17.5,岁,18,岁的男生体重,(kg),得到频率分布直方图如下:,根据上图可得这,100,名学生中体重在,56.5,64.5,的学生人数是,(),A.20 B.30 C.40 D.50,0.03,0.05,0.07,体重,(kg
5、),频率,/,组距,54.5,58.5,62.5,66.5,70.5,74.5,4,为了了解某地区高三学生的身体发育情况,抽查了该地区,100,名年龄为,17.5,岁,18,岁的男生体重,(kg),得到频率分布直方图如下:,C,0.03,0.05,0.07,体重,(kg),频率,/,组距,54.5,58.5,62.5,66.5,70.5,74.5,根据上图可得这,100,名学生中体重在,56.5,64.5,的学生人数是,(),A.20 B.30 C.40 D.50,5.2011,浙江卷,某中学为了解学生数学课程的学习情况,,在,3000,名学生中随机抽取,200,名,并统计这,200,名学生,
6、的某次数学考试成绩,得到了样本的频率分布直方图,(,如图,1,4),根据频率分布直方图推测,推测这,3000,名,学生在该次数学考试中成绩小于,60,分的学生数是,_,【,解析,】,设满足所求条件的学生人数为,x,名,,由频率分布直方图可知,200,名学生中,60,分以下学生,为,200(0.002,0.006,0.012)10,40(,名,),即,x,600.,600,6.,(,2011,年高考四川卷文科,2),有一个容量为,66,的样本,数据的分组及各组的频数如下:,2 4 9 18,11 12 7 3,根据样本的频率分布估计,大于或等于,31.5,的数据约占,(,A,),(B)(C)(D),答案:,B,解析:大于或等于,31.5,的数据所,占的频数为,12+7+3=22,,,该数据所占的频率约为,.,7,(,2011,年高考湖北卷文科,5),有一个容量为,200,的样本,,其频率分布直方图如图所示,根据样本的频率分布直方图,估计,样本数据落在区间,10,12,内的频数为,(),A.18 B.36 C.54 D.72,B,