📚 Year 7 CIE Statistics: Summer Preview and Bridging Course | Year 7 CIE 统计：暑期预习与衔接课程
Statistics is not just about numbers—it is the language of data that helps us understand the world. This summer bridging course is designed to give you a confident start in Year 7 CIE Statistics. Whether you are moving from primary mathematics or beginning secondary school, you will explore how to collect, organise, display and interpret information. We will also introduce basic probability, so you can predict how likely events are to occur. By the end of this preview, you will have a clear roadmap for the year ahead.
统计学不仅仅是关于数字，它是帮助我们理解世界的数据语言。这个暑期衔接课程旨在让你在 Year 7 CIE 统计课上自信起步。无论你是从小学数学过渡，还是刚进入中学，你都将探索如何收集、整理、展示和解读信息。我们还会介绍基础概率，让你能够预测事件发生的可能性。在本预习结束时，你将拥有清晰的全年学习路线图。
1. Why Study Statistics? | 为什么学习统计？
Statistics helps you make sense of information everywhere—from sports scores and weather forecasts to school surveys. Learning statistics builds critical thinking skills, allowing you to question data, spot patterns and make informed decisions. In Year 7, you will start with real-life problems, turning raw data into meaningful stories.
统计学帮你理解无处不在的信息——从体育比分和天气预报到学校调查。学习统计能培养批判性思维，让你能够质疑数据、发现模式并做出明智决策。在 Year 7，你会从现实问题入手，把原始数据变成有意义的故事。
2. What Is Data? | 什么是数据？
Data is a collection of facts, numbers or observations. For example, the heights of students in your class, the colours of cars in a car park, or the daily temperatures for a week all count as data. Before you can analyse anything, you need to understand what kind of data you are dealing with.
数据是事实、数字或观察结果的集合。例如，班里同学的身高、停车场里汽车的颜色，或者一周的每日气温，都是数据。在你进行分析之前，你需要先了解自己手中是什么类型的数据。
3. Types of Data: Qualitative vs Quantitative | 数据类型：定性与定量
Data falls into two main categories. Qualitative data describes qualities or categories, such as eye colour or favourite subject. Quantitative data is numerical and can be measured or counted, like the number of books read in a month. Within quantitative data, we also distinguish between discrete data (counted items, e.g. number of siblings) and continuous data (measured values, e.g. height or time).
数据分为两大类。定性数据描述属性或类别，比如眼睛颜色或最喜欢的科目。定量数据是数值型的，可以被测量或计数，比如一个月读了多少本书。在定量数据中，我们还区分离散数据（可数的物品，如兄弟姐妹数）和连续数据（测量得到的值，如身高或时间）。
4. Collecting Data: Surveys and Experiments | 收集数据：调查与实验
We collect data through surveys, questionnaires or experiments. A well-designed question avoids bias and gives clear choices. For instance, asking ‘How many hours do you sleep?’ produces quantitative data, while ‘What is your favourite sport?’ gives qualitative data. In Year 7, you will learn to write your own survey questions and gather data fairly.
我们通过调查、问卷或实验收集数据。一个设计良好的问题会避免偏见并提供清晰选项。例如，问“你睡几个小时？”会得到定量数据，而“你最喜欢什么运动？”则产生定性数据。在 Year 7，你将学习编写自己的调查问题并公平地收集数据。
5. Organising Data: Tally Charts and Frequency Tables | 整理数据：计数表与频数表
Once data is collected, it must be organised. A tally chart uses vertical strokes to count occurrences, grouping every fifth stroke diagonally for easy counting. Then you can build a frequency table showing each category and its count. This simple step reveals which values are most and least common.
数据收集后必须进行整理。计数表使用竖线记录出现次数，每五条用对角线划为一组，方便计数。然后你可以制作频数表，显示每个类别及其计数。这个简单步骤能揭示出哪些数值最常出现、哪些最少出现。
6. Displaying Data: Pictograms and Bar Charts | 展示数据：象形图和条形图
Pictograms use symbols to represent data. A key tells you how many items each symbol stands for. Bar charts use rectangular bars where the height or length shows the frequency. In Year 7, you will draw and interpret pictograms and bar charts, always labelling axes and giving the chart a clear title. Remember that bar charts have gaps between bars for categorical data.
象形图用符号代表数据。图例告诉你每个符号代表多少项目。条形图用矩形条的高度或长度表示频数。在 Year 7，你将绘制并解读象形图和条形图，始终标注坐标轴并给图表加上清晰标题。记住，分类数据的条形图之间要有空隙。
7. Line Graphs and Pie Charts | 折线图和饼图
Line graphs show how data changes over time. Plot points for each time period and connect them with straight lines. Pie charts display proportions of a whole, with each slice representing a category. To draw a pie chart, you calculate each angle using the formula:
Angle = (Category frequency ÷ Total frequency) × 360°
折线图展示数据随时间的变化。为每个时间段描点，然后用直线相连。饼图显示整体中各部分的比例，每一块扇形代表一个类别。绘制饼图时，用公式计算每个角度：
角度 = (类别频数 ÷ 总频数) × 360°
8. Measures of Central Tendency: Mean, Median, Mode | 集中趋势度量：平均数、中位数、众数
The three main averages describe the centre of a data set. The mode is the most frequent value. The median is the middle value when data is ordered. The mean is calculated by adding all values and dividing by how many there are. Use these steps for mean:
Mean = Sum of all data values ÷ Number of data values
三个主要平均数描述数据集的中心。众数是出现最频繁的值。中位数是将数据排序后最中间的值。平均数则将所有数值相加，再除以数据个数。计算平均数的步骤为：
平均数 = 所有数据值的和 ÷ 数据值的个数
9. Understanding Range | 理解极差
Range shows the spread of data. It is the difference between the largest and smallest values. A small range means the data is closely grouped; a large range suggests more variability. You will often compare two sets of data using both an average and the range to get a fuller picture.
极差反映数据的分散程度。它是最大值与最小值之差。极差小意味着数据集中；极差大则表明变异性更强。你通常会同时用平均数与极差比较两组数据，以获得更全面的图景。
10. Introduction to Probability | 概率入门
Probability measures how likely an event is. The probability scale goes from 0 (impossible) to 1 (certain). You can describe probabilities using words like ‘even chance’ (0.5) or fractions. For equally likely outcomes, probability is calculated as:
P(event) = Number of favourable outcomes ÷ Total number of possible outcomes
概率衡量事件发生的可能性。概率标度从 0（不可能）到 1（必然）。你可以用词语描述概率，如“均匀机会”（0.5），或用分数表示。对于等可能性结果，概率计算为：
P(事件) = 有利结果数量 ÷ 可能结果总数
11. Interpreting Data and Drawing Conclusions | 解读数据与得出结论
Data without interpretation is just numbers. You will learn to read charts, compare averages, and write sentences that explain what the data shows. Ask questions like: Which category had the highest frequency? Did the trend increase or decrease? Is there a pattern that might predict future outcomes? Always support your conclusion with evidence from the chart or table.
没有解读的数据只是数字。你将学习阅读图表、比较平均数，并写出能解释数据含义的句子。提出这些问题：哪个类别的频数最高？趋势是上升还是下降？是否存在能预测未来结果的模式？务必用图表或表格中的证据支持你的结论。
12. Summer Revision and Bridging Tips | 暑期复习与衔接建议
To prepare for Year 7 statistics, start a data diary: record daily temperatures, chart your screen time, or conduct a small survey among family members. Practise drawing bar charts and calculating mean, median, mode and range. Use online tools to create digital pictograms and pie charts. Finally, review primary-level fractions and decimals, because probability and mean calculations rely heavily on them. A few minutes each day can build a solid bridge into secondary statistics.
为 Year 7 统计课做准备，开写一本数据日记：记录每日温度、绘制屏幕使用时间图表，或在家庭成员中开展小型调查。练习绘制条形图并计算平均数、中位数、众数和极差。使用在线工具制作数字象形图和饼图。最后，复习小学阶段的分数与小数，因为概率和平均数计算非常依赖它们。每天花几分钟，就能为中学统计搭建稳固的桥梁。
Published by TutorHao | Statistics Revision Series | aleveler.com
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