某班级进行了一次数学测验,成绩分布如下表所示。已知成绩在80分及以上的学生人数占总人数的40%,而成绩在60分以下的学生有12人,占总人数的20%。那么,成绩在60分到80分之间的学生人数是____人。
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题目要求选择一个能代表整体水平并反映大多数学生成绩情况的统计量。首先观察数据:85,78,92,88,76,90,84,89,81,87。这些数据分布较为均匀,没有明显的极端值(如特别高或特别低的分数),但也没有重复出现的数值,因此众数不存在或无法体现‘大多数’。最大值(92)仅代表最高分,不能反映整体。平均数虽然能反映整体平均水平,但容易受极端值影响;而中位数是将数据按大小顺序排列后位于中间的值,能较好地代表中间水平,避免极端值干扰。将数据从小到大排列:76,78,81,84,85,87,88,89,90,92。共有10个数据,中位数为第5和第6个数的平均数,即(85 + 87) ÷ 2 = 86。这个值位于数据中间位置,能较好地反映大多数学生的成绩集中趋势,因此最合适。
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[{"id":1801,"content":"在平面直角坐标系中,点A(2, 3)、B(6, 7),线段AB的中点为M。若点P(x, y)满足PM = 5且x + y = 10,则点P的横坐标x的可能值为___。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"4或8","explanation":"先求中点M(4,5),设P(x,10−x),利用距离公式列方程(x−4)²+(5−x)²=25,化简得x²−12x+32=0,解得x=4或8。","options":[]},{"id":14,"content":"What is the plural form of "child"?","type":"选择题","subject":"英语","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":""child"的复数形式是"children"。","options":[{"id":"A","content":"childs"},{"id":"B","content":"children"},{"id":"C","content":"childes"},{"id":"D","content":"childies"}]},{"id":634,"content":"13道","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"待完善","explanation":"解析待完善","options":[]},{"id":2250,"content":"在数轴上,点A表示的数是-3,点B表示的数是5。若点C位于点A和点B的正中间,则点C表示的数是___。","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"点A表示-3,点B表示5,两点之间的距离为5 - (-3) = 8。中点C将这段距离平均分为两部分,因此从点A向右移动4个单位即可到达中点。计算得:-3 + 4 = 1。因此,点C表示的数是1,正确答案是D。","options":[{"id":"A","content":"-1"},{"id":"B","content":"1"},{"id":"C","content":"2"},{"id":"D","content":"1"}]},{"id":182,"content":"小明在文具店买了一支钢笔和一本笔记本,共花费18元。已知钢笔的价格是笔记本价格的2倍,那么笔记本的价格是多少元?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"设笔记本的价格为x元,则钢笔的价格为2x元。根据题意,钢笔和笔记本共花费18元,可列出方程:x + 2x = 18,即3x = 18。解得x = 6。因此,笔记本的价格是6元。选项A正确。","options":[{"id":"A","content":"6元"},{"id":"B","content":"9元"},{"id":"C","content":"12元"},{"id":"D","content":"3元"}]},{"id":2449,"content":"某公园内有一块平行四边形花坛ABCD,测得AB = 8米,AD = 5米,对角线AC = √89米。现要在花坛内修建一条从顶点B到边CD的垂直通道,该通道的长度为___米。","type":"填空题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"4","explanation":"利用勾股定理验证平行四边形对角线关系,再通过面积法求高:S = AB × h = (1\/2) × AC × BD 的变形不适用,应直接用S = 底×高,结合向量或坐标法可得高为4米。","options":[]},{"id":2147,"content":"某学生在解方程时,将方程 2x + 3 = 7 的两边同时减去3,得到 2x = 4,然后两边同时除以2,得到 x = 2。这一过程主要运用了等式的哪一条基本性质?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"该学生在解题过程中,先两边同时减去3(运用了等式性质1:两边同时减去同一个数,等式仍成立),再两边同时除以2(运用了等式性质2:两边同时除以同一个不为零的数,等式仍成立)。因此,整个过程中综合运用了等式的基本性质,选项D最全面准确。","options":[{"id":"A","content":"等式两边同时加上同一个数,等式仍然成立"},{"id":"B","content":"等式两边同时减去同一个数,等式仍然成立"},{"id":"C","content":"等式两边同时乘或除以同一个不为零的数,等式仍然成立"},{"id":"D","content":"以上三条性质都运用了"}]},{"id":891,"content":"在一次班级环保活动中,某学生收集了若干个废旧电池。他将这些电池分成两类:可回收的和不可回收的。已知可回收电池的数量比不可回收的多6个,两类电池总数为24个。设不可回收电池的数量为x,则可列出方程:x + (x + 6) = 24。解这个方程,不可回收电池有___个。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"9","explanation":"根据题意,设不可回收电池数量为x,则可回收电池数量为x + 6。两类电池总数为24,因此方程为x + (x + 6) = 24。化简得2x + 6 = 24,两边减去6得2x = 18,再除以2得x = 9。所以不可回收电池有9个。","options":[]},{"id":1796,"content":"某校七年级组织学生参加数学兴趣小组活动,报名参加A、B两个小组的人数共45人。已知参加A组的人数比B组人数的2倍少3人。设参加B组的人数为x,则下列方程正确的是:","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"A","explanation":"根据题意,设参加B组的人数为x,则参加A组的人数比B组的2倍少3人,即A组人数为2x - 3。两组总人数为45人,因此可列出方程:x + (2x - 3) = 45。选项A正确。选项B错误,因为A组是比2倍少3,不是多3;选项C只考虑了A组人数等于45,忽略了总人数包含两组;选项D虽然变形后等价,但表达方式不规范,未明确体现A组人数的代数式,不符合设未知数列方程的标准形式。因此,最准确且符合题意的方程是A。","options":[{"id":"A","content":"x + (2x - 3) = 45"},{"id":"B","content":"x + (2x + 3) = 45"},{"id":"C","content":"2x - 3 = 45"},{"id":"D","content":"x + 2x = 45 - 3"}]},{"id":326,"content":"某学生调查了班级同学最喜欢的运动项目,并将数据整理成如下表格。已知喜欢篮球的人数比喜欢足球的多6人,喜欢乒乓球的人数是喜欢羽毛球的2倍,且总人数为40人。如果喜欢足球的有8人,那么喜欢羽毛球的有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"根据题意,喜欢足球的有8人,喜欢篮球的比足球多6人,所以喜欢篮球的有 8 + 6 = 14 人。设喜欢羽毛球的有 x 人,则喜欢乒乓球的有 2x 人。总人数为40人,因此可以列出方程:足球人数 + 篮球人数 + 羽毛球人数 + 乒乓球人数 = 总人数,即 8 + 14 + x + 2x = 40。化简得 22 + 3x = 40,解得 3x = 18,x = 6。所以喜欢羽毛球的有6人,正确答案是B。","options":[{"id":"A","content":"5人"},{"id":"B","content":"6人"},{"id":"C","content":"7人"},{"id":"D","content":"8人"}]}]