某班级组织了一次环保活动,收集了可回收垃圾的重量(单位:千克)如下:12, 15, 18, 12, 20, 15, 12, 16。为了分析数据,需要计算这组数据的众数。请问这组数据的众数是多少?
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求一组数据的平均值,需要将这组数据相加,然后除以数据的个数。本题中,气温数据为:-2,3,0,-1,4。首先计算总和:-2 + 3 + 0 + (-1) + 4 = 4。共有5个数据,因此平均值为 4 ÷ 5 = 0.8。所以正确答案是A。本题考查的是数据的收集、整理与描述中的平均数计算,属于七年级数学中的基础内容,难度为简单。
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[{"id":2283,"content":"在数轴上,点A表示的数是-3,点B与点A之间的距离为5个单位长度,且点B在点A的右侧,则点B表示的数是___。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"2","explanation":"点A表示的数是-3,点B在点A右侧,距离为5个单位长度,因此点B表示的数为-3 + 5 = 2。根据数轴上点的位置关系,向右移动表示数值增加,计算符合七年级数轴基本概念。","options":[]},{"id":1,"content":"若x=3是方程2x + a = 7的解,则a的值为?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"将x=3代入方程2x + a = 7,得2*3 + a = 7,解得a = 1。","options":[{"id":"A","content":"1"},{"id":"B","content":"-1"},{"id":"C","content":"2"},{"id":"D","content":"3"}]},{"id":127,"content":"一个长方形的长比宽多3厘米,若其周长为26厘米,则这个长方形的宽是______厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"5","explanation":"本题考查初一学生对方程建模和简单一元一次方程求解的理解与应用。题目通过描述长方形长与宽的关系以及周长信息,引导学生设未知数、列方程并求解。虽然涉及几何图形,但核心是代数思维的训练,符合初一上学期学习一元一次方程后的知识水平。题目设计避免了常见的直接计算面积或边长的问题,而是通过‘长比宽多’和‘周长’两个条件建立等量关系,具有一定的综合性和思维层次,但计算简单,属于简单难度。","options":[]},{"id":810,"content":"在一次班级图书捐赠活动中,某学生第一天捐了若干本书,第二天比第一天多捐了5本,两天一共捐了23本。设第一天捐了___本书。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"9","explanation":"设第一天捐了x本书,则第二天捐了(x + 5)本。根据题意,两天共捐书数量为:x + (x + 5) = 23。解这个一元一次方程:2x + 5 = 23,移项得2x = 18,解得x = 9。因此,第一天捐了9本书。","options":[]},{"id":372,"content":"某学生在整理班级同学的身高数据时,发现将数据按从小到大的顺序排列后,位于正中间的两个数分别是158和160,则这组数据的中位数是:","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"中位数是将一组数据按大小顺序排列后,处于中间位置的数。当数据个数为偶数时,中位数是中间两个数的平均数。题目中给出中间两个数是158和160,因此中位数为(158 + 160) ÷ 2 = 318 ÷ 2 = 159。所以正确答案是B。","options":[{"id":"A","content":"158"},{"id":"B","content":"159"},{"id":"C","content":"160"},{"id":"D","content":"162"}]},{"id":373,"content":"某学生在平面直角坐标系中描出点A(2, 3)和点B(5, 7),然后连接这两点形成一条线段。若该学生想找出这条线段的中点坐标,他应该计算的结果是:","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"求平面直角坐标系中两点所连线段的中点坐标,应使用中点坐标公式:中点坐标 = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)。已知点A(2, 3)和点B(5, 7),则中点横坐标为 (2 + 5) ÷ 2 = 7 ÷ 2 = 3.5,纵坐标为 (3 + 7) ÷ 2 = 10 ÷ 2 = 5。因此,中点坐标为(3.5, 5)。选项A正确。","options":[{"id":"A","content":"(3.5, 5)"},{"id":"B","content":"(4, 5)"},{"id":"C","content":"(3, 4.5)"},{"id":"D","content":"(3.5, 4.5)"}]},{"id":371,"content":"某班级组织了一次环保知识竞赛,共20道题,答对一题得5分,答错或不答扣2分。一名学生最终得分为65分,请问他答对了多少道题?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"设这名学生答对了x道题,则答错或不答的题数为(20 - x)道。根据题意,答对一题得5分,答错或不答扣2分,总得分为65分,可列出一元一次方程:5x - 2(20 - x) = 65。展开并化简:5x - 40 + 2x = 65,合并同类项得7x - 40 = 65,移项得7x = 105,解得x = 15。因此,该学生答对了15道题。","options":[{"id":"A","content":"15"},{"id":"B","content":"14"},{"id":"C","content":"13"},{"id":"D","content":"12"}]},{"id":422,"content":"某学生在整理班级同学的课外阅读时间数据时,发现一周内每天阅读时间(单位:分钟)分别为:25,30,28,35,32,27,33。为了分析阅读时间的分布情况,该学生计算了这组数据的平均数。请问这组数据的平均数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"要计算这组数据的平均数,需要将所有数据相加,然后除以数据的个数。具体步骤如下:首先,将每天的阅读时间相加:25 + 30 + 28 + 35 + 32 + 27 + 33 = 210(分钟)。然后,用总和除以天数(7天):210 ÷ 7 = 30(分钟)。因此,这组数据的平均数是30分钟,正确答案是C。","options":[{"id":"A","content":"28分钟"},{"id":"B","content":"29分钟"},{"id":"C","content":"30分钟"},{"id":"D","content":"31分钟"}]},{"id":1893,"content":"某学生在平面直角坐标系中绘制了一个四边形ABCD,其中A(0, 0),B(4, 0),C(5, 3),D(1, 3)。该学生声称这个四边形是平行四边形,并试图通过计算对边长度和斜率来验证。若该四边形确实是平行四边形,则其对角线AC和BD的交点坐标应为多少?若该学生计算后发现交点不在两条对角线的中点,则说明该四边形不是平行四边形。请问该四边形的对角线交点坐标是?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"A","explanation":"要判断四边形ABCD是否为平行四边形,可先验证其对边是否平行且相等。但本题直接要求计算对角线AC和BD的交点坐标。在平面直角坐标系中,若四边形是平行四边形,则对角线互相平分,即交点为两条对角线的中点。因此,只需计算对角线AC和BD的中点,若两者重合,则该点即为交点。\n\n点A(0, 0),C(5, 3),则AC中点坐标为:((0+5)\/2, (0+3)\/2) = (2.5, 1.5)\n\n点B(4, 0),D(1, 3),则BD中点坐标为:((4+1)\/2, (0+3)\/2) = (2.5, 1.5)\n\n两条对角线中点相同,说明对角线互相平分,因此四边形ABCD是平行四边形,其对角线交点为(2.5, 1.5)。\n\n故正确答案为A。","options":[{"id":"A","content":"(2.5, 1.5)"},{"id":"B","content":"(2, 1.5)"},{"id":"C","content":"(2.5, 2)"},{"id":"D","content":"(3, 1.8)"}]},{"id":236,"content":"某学生计算一个多边形的内角和时,使用了公式 (n - 2) × 180°,其中 n 表示边数。若这个多边形是五边形,则其内角和为 _ 度。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"540","explanation":"根据多边形内角和公式 (n - 2) × 180°,五边形的边数 n = 5。代入公式得:(5 - 2) × 180° = 3 × 180° = 540°。因此,五边形的内角和是 540 度。","options":[]}]