📚 Year 8 CAIE Statistics: Unit Test Mock Paper Analysis | CAIE 八年级统计:单元测试模拟卷解析
This article provides a detailed walkthrough of a typical Year 8 CAIE Statistics unit test mock paper. Each question is analysed step by step, covering data collection, graphs, averages, probability, and more. Use this guide to check your understanding and avoid common mistakes.
本文详细解析一份典型的八年级CAIE统计单元测试模拟卷。每道题都进行逐步分析,涵盖数据收集、各类统计图表、平均数、概率等知识点。通过此指南检查你的理解并避免常见错误。
1. Data Collection and Frequency Tables | 数据收集与频数表
Question: A class survey recorded 12 students’ favourite subjects: Maths, Science, English, Maths, Art, Science, Maths, English, Maths, Science, Science, English. Organise this data into a frequency table and a pictogram using a symbol to represent 2 students.
问题:一项班级调查记录了12名学生最喜欢的科目:数学、科学、英语、数学、美术、科学、数学、英语、数学、科学、科学、英语。将这些数据整理成频数表,并用一个符号代表2名学生绘制象形图。
First, tally each subject: Maths occurs 4 times, Science 5 times, English 3 times, Art once. The frequency table should list the subjects in the first column and the frequency in the second column.
首先,统计每个科目:数学出现4次,科学5次,英语3次,美术1次。频数表的第一列列出科目,第二列是频数。
For the pictogram, choose a key: one smiley face = 2 students. Then draw 2 faces for Maths, 2.5 faces for Science (two full faces and one half face), 1.5 faces for English, and half a face for Art. Ensure the key is clearly shown.
绘制象形图时,选择图例:一个笑脸代表2名学生。接着为数学画2个笑脸,科学画2.5个(两个完整笑脸和半个),英语1.5个,美术半个。务必清楚标注图例。
Common mistake: Not using half symbols correctly when frequencies are not even multiples of the symbol value. Always divide frequency by 2 to get the number of symbols.
常见错误:当频数不是符号代表值的偶数倍时,未能正确使用半个符号。始终将频数除以2得到符号数量。
2. Bar Chart Interpretation | 柱状图解读
A bar chart shows the number of books read by five students: Alex 12, Bella 8, Charlie 15, Diana 7, Ethan 10. Use the chart to answer: Who read the most books? How many more books did Charlie read than Diana? What is the range?
柱状图显示五名学生阅读的书籍数量:Alex 12,Bella 8,Charlie 15,Diana 7,Ethan 10。利用图表回答:谁读的书最多?Charlie比Diana多读了多少
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