IGCSE CCEA Statistics Unit Test Mock Paper Walkthrough | IGCSE CCEA 统计单元测试模拟卷解析

📚 IGCSE CCEA Statistics Unit Test Mock Paper Walkthrough | IGCSE CCEA 统计单元测试模拟卷解析

This walkthrough breaks down a full CCEA IGCSE Statistics unit test mock paper question by question. It covers the most common assessment objectives: describing data, choosing diagrams, calculating averages and spread, interpreting correlation, and solving probability problems.

本文逐题解析一套完整的 CCEA IGCSE 统计单元测试模拟卷，覆盖最常见的能力目标：描述数据、选择图表、计算平均数和离散程度、解释相关性以及求解概率问题。

1. Paper Structure and Mark Allocation | 试卷结构与分值分布

The mock paper is designed to reflect a typical CCEA unit test. It has two sections: Section A contains short, skills-based questions, while Section B contains longer data-handling and interpretation questions. Total marks are usually between 40 and 60, with about 40% awarded for accurate calculation, 35% for interpretation, and 25% for communication and method.

模拟卷参照典型的 CCEA 单元测试设计。试卷分为两部分：A 部分是简短的技能题，B 部分是较长的数据处理与解释题。总分通常为 40 到 60 分，其中约 40% 授予准确计算，35% 授予解释说明，25% 授予过程与表达。

The table below shows the distribution of marks by topic.

下表按主题列出了分值分布。

The overall balance means that no single topic dominates; students should practise all sections rather than relying on one favourite skill.

整体分值均衡，意味着没有任何一个主题占绝对主导；学生应全面练习所有部分，而不是只依赖某一种擅长的技能。

2. Question 1: Types of Data and Sampling | 第1题：数据类型与抽样

Question 1 often gives a scenario, such as a school survey on lunch choices. Students must identify whether data are qualitative or quantitative, and whether quantitative data are discrete or continuous. For example, ‘number of meals bought’ is quantitative discrete, while ‘time spent in the queue’ is quantitative continuous. ‘Preferred lunch option’ is qualitative.

第 1 题通常给出一个情景，例如学校午餐选择的调查。学生需要判断数据是定性还是定量，以及定量数据是离散型还是连续型。例如，“购买的餐食份数”是定量离散数据，“排队时间”是定量连续数据，而“偏好的午餐选项”是定性数据。

Sampling methods include random, stratified, systematic, quota and cluster sampling. Stratified sampling is best when the population has clear groups and we want each group represented fairly. A school has 400 boys and 600 girls. A stratified sample of 50 students has 20 boys and 30 girls.

抽样方法包括随机抽样、分层抽样、系统抽样、配额抽样和整群抽样。当总体具有明显分组且希望各组得到公平代表时，分层抽样最为合适。某校有 400 名男生和 600 名女生。若抽取 50 人的分层样本，则应抽 20 名男生和 30 名女生。

Boys = 50 × (400 / 1000) = 20, Girls = 50 × (600 / 1000) = 30

Always show the multiplication line in a stratified sampling question, because method marks are available even if the final number is slightly wrong.

在分层抽样题中一定要写出乘法算式，因为即使最终数字略有错误，方法分仍然可以获得。

3. Question 2: Frequency Tables and Averages | 第2题：频数表与平均数

A grouped frequency table shows the scores of 20 students. Use midpoints to estimate the mean and identify the modal class.

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