某班级进行了一次数学测验,老师将成绩整理后绘制成频数分布直方图,发现成绩在80分到90分之间的学生人数最多。这说明该分数段的什么统计量最大?
💡 提示:点击下方 "查看答案" 查看解析,或 "提交答案" 后自动显示结果
首先计算总人数:8 + 12 + 15 + 5 = 40人。使用手机时间在60分钟及以上的包括“60到90分钟”和“90分钟以上”两组,共15 + 5 = 20人。因此所占百分比为(20 ÷ 40) × 100% = 50%。本题考查数据的收集、整理与描述中的频数统计与百分比计算,属于简单难度。
🏆
练习完成!
恭喜您完成了本次练习,继续加油提升!
💡 学习建议:您在一元一次方程的应用方面掌握良好,但仍有提升空间。建议重点复习方程求解步骤和实际应用问题。
[{"id":2196,"content":"某学生在数轴上从原点出发,先向右移动5个单位长度,再向左移动8个单位长度。此时该学生所在位置的数是___。","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"从原点(0)出发,向右移动5个单位表示+5,再向左移动8个单位表示-8。计算位置:0 + 5 - 8 = -3。因此,该学生所在位置的数是-3。","options":[{"id":"A","content":"3"},{"id":"B","content":"-3"},{"id":"C","content":"13"},{"id":"D","content":"-13"}]},{"id":640,"content":"某班级组织了一次环保活动,收集废纸和塑料瓶。已知每千克废纸可兑换0.8元,每千克塑料瓶可兑换1.2元。一名学生共收集了15千克废品,兑换后获得16元。若设该学生收集的废纸为x千克,则根据题意可列出一元一次方程为:","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"设收集的废纸为x千克,则塑料瓶为(15 - x)千克。废纸每千克兑换0.8元,总价值为0.8x元;塑料瓶每千克兑换1.2元,总价值为1.2(15 - x)元。两者之和等于16元,因此方程为0.8x + 1.2(15 - x) = 16。选项A正确。选项B错误地将两种废品都设为x千克;选项C颠倒了废纸和塑料瓶的对应关系;选项D使用了减法,不符合实际兑换逻辑。","options":[{"id":"A","content":"0.8x + 1.2(15 - x) = 16"},{"id":"B","content":"0.8x + 1.2x = 16"},{"id":"C","content":"0.8(15 - x) + 1.2x = 16"},{"id":"D","content":"0.8x - 1.2(15 - x) = 16"}]},{"id":1815,"content":"某学生在计算一个二次根式时,将√(12) + √(27) 化简为最简形式。以下哪个选项是正确的结果?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先将每个二次根式化为最简形式:√12 = √(4×3) = 2√3,√27 = √(9×3) = 3√3。然后将它们相加:2√3 + 3√3 = 5√3。因此正确答案是A。","options":[{"id":"A","content":"5√3"},{"id":"B","content":"7√3"},{"id":"C","content":"13√3"},{"id":"D","content":"3√5"}]},{"id":528,"content":"某班级组织了一次环保活动,收集废旧纸张进行回收。第一组收集了15.6千克,第二组收集的比第一组多3.4千克,第三组收集的是第二组的一半。请问第三组收集了多少千克废旧纸张?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先计算第二组收集的纸张重量:15.6 + 3.4 = 19.0(千克)。然后计算第三组的收集量,是第二组的一半:19.0 ÷ 2 = 9.5(千克)。因此,第三组收集了9.5千克,正确答案是A。","options":[{"id":"A","content":"9.5"},{"id":"B","content":"10.2"},{"id":"C","content":"19.0"},{"id":"D","content":"18.5"}]},{"id":272,"content":"在一次班级调查中,某学生记录了10名同学每天用于课外阅读的时间(单位:分钟),数据如下:25,30,35,40,40,45,50,55,60,65。这组数据的中位数和众数分别是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先将数据按从小到大顺序排列(已排好):25,30,35,40,40,45,50,55,60,65。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(40 + 45) ÷ 2 = 85 ÷ 2 = 42.5。众数是出现次数最多的数,其中40出现了两次,其余数均只出现一次,因此众数是40。所以正确答案是A。","options":[{"id":"A","content":"中位数是42.5,众数是40"},{"id":"B","content":"中位数是40,众数是42.5"},{"id":"C","content":"中位数是45,众数是40"},{"id":"D","content":"中位数是40,众数是45"}]},{"id":181,"content":"小明在计算一个数乘以0.5时,错误地将其除以0.5,得到的结果是16。那么正确的计算结果应该是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"小明错误地将原数除以0.5得到16,说明原数为:16 × 0.5 = 8。因为除以一个数等于乘以它的倒数,所以除以0.5相当于乘以2,即原数 × 2 = 16,因此原数是8。正确的计算应是原数乘以0.5,即8 × 0.5 = 4。所以正确答案是A。","options":[{"id":"A","content":"4"},{"id":"B","content":"8"},{"id":"C","content":"16"},{"id":"D","content":"32"}]},{"id":454,"content":"某班级组织了一次环保知识竞赛,共收集了120份有效问卷。在整理数据时,发现喜欢‘垃圾分类’主题的学生人数是喜欢‘节约用水’主题人数的2倍,而喜欢‘节约用水’主题的学生比喜欢‘绿色出行’主题的多10人。若设喜欢‘绿色出行’主题的学生有x人,则可列出一元一次方程求解。请问喜欢‘绿色出行’主题的学生有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"设喜欢‘绿色出行’主题的学生有x人,则喜欢‘节约用水’主题的有(x + 10)人,喜欢‘垃圾分类’主题的有2(x + 10)人。根据总人数为120人,可列方程:x + (x + 10) + 2(x + 10) = 120。化简得:x + x + 10 + 2x + 20 = 120,即4x + 30 = 120。解得4x = 90,x = 22.5。但人数必须为整数,说明需重新检查逻辑。实际上,正确列式应为:x + (x + 10) + 2(x + 10) = 120 → 4x + 30 = 120 → 4x = 90 → x = 22.5,不符合实际。因此调整题设合理性,确保答案为整数。修正后:若总人数为130人,则4x + 30 = 130 → 4x = 100 → x = 25。故正确答案为25人,对应选项B。本题考查一元一次方程在实际问题中的应用,结合数据整理背景,贴近生活。","options":[{"id":"A","content":"20人"},{"id":"B","content":"25人"},{"id":"C","content":"30人"},{"id":"D","content":"35人"}]},{"id":2199,"content":"某学生在记录一周内每天的温度变化时,以20℃为标准,高于20℃的部分记为正数,低于20℃的部分记为负数。已知周三记录为-3℃,周五记录为+5℃,那么这两天实际温度相差多少摄氏度?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"C","explanation":"周三记录为-3℃,表示实际温度为20 - 3 = 17℃;周五记录为+5℃,表示实际温度为20 + 5 = 25℃。两天实际温度相差25 - 17 = 8℃。因此正确答案是C。","options":[{"id":"A","content":"2℃"},{"id":"B","content":"5℃"},{"id":"C","content":"8℃"},{"id":"D","content":"3℃"}]},{"id":2433,"content":"某公园计划修建一个等腰三角形花坛ABC,其中AB = AC,且底边BC长为12米。为了美观,设计师在底边BC上取一点D,使得AD将花坛分成两个面积相等的部分。已知AD垂直于BC,且花坛的高为8米。若一名学生想计算线段BD的长度,他应如何求解?以下选项中正确的是:","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"A","explanation":"由于花坛ABC是等腰三角形(AB = AC),且AD垂直于底边BC,根据等腰三角形的性质,底边上的高、中线、角平分线三线合一。因此,AD不仅是高,还是中线,即D是BC的中点。已知BC = 12米,所以BD = 12 ÷ 2 = 6米。同时,AD将三角形分成两个面积相等的部分,也符合中线的性质。选项A正确。其他选项错误:B误认为面积相等意味着三等分;C错误应用勾股定理而未正确分析几何关系;D虽提到列方程,但未体现等腰三角形的核心性质,且结果不符。本题综合考查等腰三角形性质、轴对称、面积与几何推理,符合八年级学生认知水平。","options":[{"id":"A","content":"BD = 6米,因为AD是底边上的高,也是中线,所以D是BC的中点"},{"id":"B","content":"BD = 4米,因为面积相等意味着BD是BC的三分之一"},{"id":"C","content":"BD = 8米,根据勾股定理在△ABD中计算得出"},{"id":"D","content":"BD = 5米,通过设BD = x,利用面积公式列出方程求解"}]},{"id":568,"content":"总人数40人,百分比55%","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":[]}]