表示数据的图)甲乙01234533463693589405254976611940叶?茎叶茎叶图(一种被用来表示数据的图)阅读教材71页,并填空某地区为了了解知识分子的年龄结构,随机抽样50名,其年龄分别如下:42,38,29,36,41,43,54,43,34,44,40,59,39,42,44,50,37,44,45,29,48,45,53,48,37,28,46,50,37,44,42,39,51,52,62,47,59,46,45,67,53,49,65,47,54,63,57,43,46,58.(1)能否用前面的图表示上述数据?(2)怎样直观表示?频数分布图和频率分布直方图阅读教材72-74页某地区为了了解知识分子的年龄结构,随机抽样50名,其年龄分别如下:42,38,29,36,41,43,54,43,34,44,40,59,39,42,44,50,37,44,45,29,48,45,53,48,37,28,46,50,37,44,42,39,51,52,62,47,59,46,45,67,53,49,65,47,54,63,57,43,46,58.(1)列出样本频率分布表;(2)画出频率分布直方图;(3)估计年龄在32~52岁的知识分子所占的比例约是多少.(1)极差为67-28=39,取组距为5,分为8组.样本频率分布表:分组频数频率[27,32)30.06[32,37)30.06[37,42)90.18[42,47)160.32[47,52)70.14[52,57)50.10[57,62)40.08[62,67]30.06合计501.00(2)样本频率分布直方图:年龄0.060.050.040.030.020.01273237424752576267频率组距O(3)因为0.06+0.18+0.32+0.14=0.7,故年龄在32~52岁的知识分子约占70%.
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