在一次班级数学测验成绩统计中,某学生将原始数据整理后绘制成频数分布直方图,发现成绩在80分到89分之间的人数占总人数的25%。如果全班共有40名学生,那么成绩在80分到89分之间的学生有___人。
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题目考查的是数据的收集、整理与描述中的频数统计。我们需要从给出的20个数据中,统计出数值为5的个数。原始数据为:3, 5, 4, 6, 3, 7, 5, 4, 5, 6, 4, 3, 5, 6, 7, 4, 5, 6, 5, 4。逐个数出5出现的次数:第2个是5,第7个是5,第9个是5,第13个是5,第17个是5,第19个是5,共出现6次。因此,阅读时间为5小时的学生有6人,正确答案是C。
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[{"id":1100,"content":"在一次班级大扫除中,某学生负责统计各小组清理的垃圾袋数量。已知第一组清理了3袋,第二组比第一组多清理了2袋,第三组清理的袋数是第二组的一半。那么第三组清理了____袋垃圾。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"2.5","explanation":"根据题意,第一组清理了3袋,第二组比第一组多2袋,所以第二组清理了3 + 2 = 5袋。第三组清理的袋数是第二组的一半,即5 ÷ 2 = 2.5袋。本题考查有理数中的小数运算,属于简单难度,符合七年级学生对有理数加减与除法的基本应用能力要求。","options":[]},{"id":396,"content":"90度","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"答案待完善","explanation":"解析待完善","options":[]},{"id":828,"content":"在一次班级环保活动中,某学生收集了废旧纸张和塑料瓶共12件。已知每张废旧纸张重0.5千克,每个塑料瓶重0.2千克,这些物品总重量为4.2千克。设该学生收集的废旧纸张有___张。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"6","explanation":"设收集的废旧纸张有x张,则塑料瓶有(12 - x)个。根据题意,纸张总重量为0.5x千克,塑料瓶总重量为0.2(12 - x)千克,总重量为4.2千克。列方程:0.5x + 0.2(12 - x) = 4.2。展开得:0.5x + 2.4 - 0.2x = 4.2,合并同类项得:0.3x + 2.4 = 4.2,移项得:0.3x = 1.8,解得x = 6。因此,该学生收集了6张废旧纸张。本题考查一元一次方程的实际应用,符合七年级数学课程要求。","options":[]},{"id":222,"content":"一个长方形的长是 8 厘米,宽是 5 厘米,它的周长是______厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"26","explanation":"长方形的周长计算公式是:周长 = 2 × (长 + 宽)。将长 8 厘米和宽 5 厘米代入公式,得到:2 × (8 + 5) = 2 × 13 = 26 厘米。因此,这个长方形的周长是 26 厘米。","options":[]},{"id":588,"content":"在一次班级大扫除中,某学生负责统计同学们带来的清洁用品数量。他记录了以下数据:扫帚8把,拖把5把,抹布12块,水桶3个。如果每2块抹布配1个水桶使用,那么现有的抹布和水桶最多可以配成多少套?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"题目要求每2块抹布配1个水桶组成一套。现有抹布12块,最多可配成 12 ÷ 2 = 6 套;但水桶只有3个,最多只能支持3套。因此,受限于水桶数量,最多只能配成3套。正确答案是A。","options":[{"id":"A","content":"3套"},{"id":"B","content":"5套"},{"id":"C","content":"6套"},{"id":"D","content":"12套"}]},{"id":749,"content":"在一次班级大扫除中,某学生负责统计清洁工具的分配情况。已知每2名学生共用1把扫帚,每3名学生共用1个拖把,每4名学生共用1个水桶。如果总共使用了26件清洁工具,那么参加大扫除的学生人数是___人。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"24","explanation":"设参加大扫除的学生人数为x。根据题意,扫帚的数量为x\/2,拖把的数量为x\/3,水桶的数量为x\/4。总工具数为26件,因此可列方程:x\/2 + x\/3 + x\/4 = 26。通分后得(6x + 4x + 3x)\/12 = 26,即13x\/12 = 26。两边同乘以12,得13x = 312,解得x = 24。因此,参加大扫除的学生人数是24人。","options":[]},{"id":635,"content":"某班级组织学生参加植树活动,男生每人种3棵树,女生每人种2棵树,全班共种了70棵树。已知该班男生人数比女生多5人,那么这个班有多少名女生?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"设女生人数为x人,则男生人数为(x + 5)人。根据题意,男生每人种3棵树,女生每人种2棵树,全班共种70棵树,可列方程:3(x + 5) + 2x = 70。展开得:3x + 15 + 2x = 70,合并同类项得:5x + 15 = 70。两边同时减去15:5x = 55。两边同时除以5:x = 11。因此,女生有11人。验证:男生为16人,种树3×16=48棵,女生种树2×11=22棵,总计48+22=70棵,符合题意。","options":[{"id":"A","content":"10"},{"id":"B","content":"11"},{"id":"C","content":"12"},{"id":"D","content":"13"}]},{"id":2290,"content":"在数轴上,点A表示的数是-3,点B与点A的距离为8个单位长度,且点B在原点右侧。若点C是线段AB上的一点,满足AC:CB = 3:1,则点C表示的数是___。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"3","explanation":"首先确定点B的位置:点A为-3,点B在A右侧且距离为8,因此点B表示的数为-3 + 8 = 5。点C在线段AB上,且AC:CB = 3:1,说明点C将AB分为3:1的两段,即点C靠近B。AB总长为8,分为4份,每份为2。从A向右移动3份(即3×2=6),到达点C,因此点C表示的数为-3 + 6 = 3。","options":[]},{"id":328,"content":"某学生在整理班级同学的身高数据时,制作了如下频数分布表。已知身高在150~160cm的学生人数占总人数的40%,总人数为50人,则身高在150~160cm的学生有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"题目中已知总人数为50人,身高在150~160cm的学生占总人数的40%。要求这部分学生的人数,只需计算50的40%是多少。计算过程为:50 × 40% = 50 × 0.4 = 20。因此,身高在150~160cm的学生有20人。该题考查的是数据的收集、整理与描述中关于百分比和频数的实际应用,属于简单难度,符合七年级数学课程要求。","options":[{"id":"A","content":"15"},{"id":"B","content":"20"},{"id":"C","content":"25"},{"id":"D","content":"30"}]},{"id":1806,"content":"某学生测量了班级10名同学的身高(单位:厘米),数据如下:150,152,153,155,155,156,158,160,162,165。这组数据的中位数和众数分别是多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先将数据按从小到大的顺序排列:150,152,153,155,155,156,158,160,162,165。共有10个数据,为偶数个,因此中位数是第5个和第6个数据的平均数,即(155 + 156) ÷ 2 = 155.5。众数是出现次数最多的数,其中155出现了两次,其余数均只出现一次,因此众数是155。所以正确答案是A。","options":[{"id":"A","content":"中位数是155.5,众数是155"},{"id":"B","content":"中位数是155,众数是155"},{"id":"C","content":"中位数是156,众数是158"},{"id":"D","content":"中位数是155.5,众数是156"}]}]