📚 Complete Guide to the Year 7 WJEC Statistics Curriculum | Year 7 WJEC 统计课程大纲全面解析
Welcome to our in-depth analysis of the Year 7 WJEC Statistics syllabus. This guide breaks down every major topic, from basic data types to probability and the statistical enquiry cycle. Whether you are a student beginning your statistical journey or a parent supporting learning, understanding the curriculum structure will help build confidence and competence in handling data.
欢迎阅读我们对 Year 7 WJEC 统计课程大纲的深入解析。本指南详细拆解了从基本数据类型到概率与统计调查循环的每一个重要主题。无论你是刚开始学习统计的学生还是支持学习的家长，理解课程结构都有助于建立处理数据的信心和能力。
1. Curriculum Overview and Aims | 课程概述与目标
The Year 7 WJEC Statistics curriculum is designed to introduce learners to the essential principles of collecting, representing, and interpreting data. It encourages students to ask questions, make predictions, and draw conclusions based on evidence.
Year 7 WJEC 统计课程旨在向学习者介绍收集、表示和解释数据的基本原则。它鼓励学生提出问题、做出预测并根据证据得出结论。
Key skills developed include organising raw data, constructing a variety of charts and graphs, calculating averages and measures of spread, and using the language of probability. The syllabus also emphasises the use of real-world contexts to make statistics meaningful.
培养的关键技能包括整理原始数据、构建各种图表、计算平均数和分布度量，以及使用概率语言。课程大纲还强调运用现实世界的情境使统计变得有意义。
Assessment may include class investigations, homework tasks, and end-of-topic tests that check both calculation skills and the ability to interpret statistical findings.
评估可能包括课堂调查、家庭作业和单元结束测验，既考查计算技能也考查解读统计结果的能力。
2. Types of Data: Qualitative and Quantitative | 数据类型：定性与定量
All data can be classified as either qualitative or quantitative. Qualitative data describe qualities, categories or attributes that cannot be measured with numbers. Examples include favourite colour, type of pet or hair colour.
所有数据都可以划分为定性数据或定量数据。定性数据描述不能以数字衡量的性质、类别或属性。例如最喜欢的颜色、宠物类型或头发颜色。
Quantitative data consist of numerical values obtained by counting or measuring. This type of data answers questions like ‘how many?’ or ‘how much?’ and can be used in calculations.
定量数据由通过计数或测量获得的数值组成。这类数据可以回答“多少？”或“多长？”等问题，并可用于计算。
Within quantitative data, we distinguish further between discrete and continuous data, a key concept covered in the next section.
在定量数据中，我们进一步区分离散数据和连续数据，这是下一节讨论的关键概念。
3. Discrete and Continuous Data | 离散数据与连续数据
Discrete data can only take specific, separate values. They are often whole numbers that you count, such as the number of books on a shelf, goals scored in a match, or students in a class. You cannot have 2.5 books in a count sense.
离散数据只能取特定的、分离的值。它们通常是可计数的整数，例如书架上的书本数、一场比赛的进球数或班级里的学生人数。你不能说有 2.5 本书。
Continuous data can take any value within a given range. These values are measured rather than counted and can include fractions and decimals. Examples include height (e.g., 1.63 m), mass, temperature and time.
连续数据可以在给定范围内取任意值。这些值是测量得到的而非计数得到的，可以包含分数和小数。例如身高（如 1.63 米）、质量、温度和时间。
| Discrete Data | Continuous Data |
|---|---|
| Counted, whole numbers | Measured, can be any value |
| Shoe size (e.g., 4, 5, 6) | Foot length (e.g., 23.4 cm) |
| Number of siblings | Time taken to run 100 m |
Recognising the difference is essential when choosing the right chart or measure of average later on.
识别这一区别对于之后选择合适的图表或平均数度量至关重要。
4. Collecting Data: Primary, Secondary, Surveys, and Questionnaires | 收集数据：一手数据、二手数据、调查与问卷
Primary data is information you collect yourself for a specific purpose. Common methods include carrying out a survey, conducting an experiment, or making observations. This data is original and directly relevant to the enquiry.
一手数据是你自己为了特定目的收集的信息。常用方法包括开展调查、进行实验或直接观察。这类数据是原始的，与调查直接相关。
Secondary data is information that has already been collected by someone else, such as data from websites, books, or government reports. Using secondary data saves time, but you must check its reliability.
二手数据是已经由他人收集的信息，例如网站、书籍或政府报告中的数据。使用二手数据可以节省时间，但你必须检查其可靠性。
Questionnaires and surveys are popular tools for collecting primary data. A well-designed questionnaire uses clear, unbiased questions and offers a range of response options. It is important to pilot questions and consider whether they will produce qualitative or quantitative data.
问卷和调查是收集一手数据的常用工具。设计良好的问卷使用清晰、无偏见的问题，并提供一系列回答选项。预先测试问题并考虑其将产生定性还是定量数据很重要。
5. Tally Charts and Frequency Tables | 计数表与频数表
Once data is collected, it needs to be organised. A tally chart is a quick way to record data as it is gathered. Each observation is marked with a tally, and every fifth tally is drawn diagonally across the previous four to make groups of five easy to count.
数据收集后需要整理。计数表是一种在收集数据时快速记录的方法。每个观察值用一个计分符号标记，每第五个计分符号斜线穿过前四个，使五个一组易于计数。
A frequency table takes the tally information and displays the total count (frequency) for each category or interval. It often includes a column for the category, a tally column, and a frequency column.
频数表利用计数信息显示每个类别或区间的总计数（频数）。它通常包含类别列、计数列和频数列。
For grouped continuous data, we create class intervals, such as 0–9, 10–19, ensuring intervals do not overlap and cover the full range of values.
对于分组连续数据，我们创建组距，例如 0–9、10–19，确保区间不重叠并覆盖全部数值范围。
6. Bar Charts and Pictograms | 条形图与象形图
Bar charts are used to represent categorical or discrete data. Each category has a bar whose height or length corresponds to its frequency. The bars are drawn with equal widths and gaps between them to show they are separate categories.
条形图用于表示分类数据或离散数据。每个类别都有一个条形，其高度或长度代表其频数。条形图的条宽度相等，且之间有间隙以表明它们是独立的类别。
Pictograms use pictures or symbols to represent data. Each symbol stands for a certain number of items, and a key must be provided. Pictograms are visually appealing but can be less precise if a symbol represents a large quantity.
象形图使用图片或符号来表示数据。每个符号代表一定数量的实物，必须提供图例。象形图视觉吸引力强，但如果一个符号代表较大的数量，准确度会降低。
When interpreting bar charts and pictograms, always read the scale carefully and use the frequency axis to extract exact values.
解读条形图和象形图时，务必仔细阅读刻度，并使用频数轴提取准确的数值。
7. Pie Charts and Proportional Reasoning | 饼图与比例推理
A pie chart displays data as sectors of a circle, where each sector’s angle is proportional to the frequency it represents. Pie charts are excellent for showing parts of a whole and comparing relative sizes.
饼图将数据显示为圆的扇形，每个扇形的角度与其所代表的频数成比例。饼图非常擅长显示整体中的各个部分并比较相对大小。
To construct a pie chart, you must first find the total frequency. Then calculate the angle for each category using the formula: angle = (category frequency / total frequency) × 360°. A table of angles is often built before drawing.
要构建饼图，首先需要求出总频数。然后使用公式计算每个类别的角度：角度 = (类别频数 / 总频数) × 360°。通常在绘制前先建立一个角度表。
Sector angle = (frequency ÷ total frequency) × 360°
扇形角度 = (频数 ÷ 总频数) × 360°
Interpreting pie charts involves comparing the sizes of angles and understanding that a larger angle corresponds to a larger proportion.
解读饼图需要比较角度大小，并理解较大的角度对应较大的比例。
8. Line Graphs and Time Series | 折线图与时间序列
Line graphs are used to show how a quantity changes over time. Time is always plotted on the horizontal axis, and the variable being measured is on the vertical axis. Points are joined with straight lines to highlight trends.
折线图用于显示数量随时间的变化。时间总是标记在横轴上，被测量的变量放在纵轴上。各点用直线连接以突出趋势。
A time series is a sequence of data points collected at regular intervals. Analysing a time series can reveal upward trends, downward trends, or seasonal patterns.
时间序列是定期收集的一系列数据点。分析时间序列可以揭示上升趋势、下降趋势或季节性模式。
When reading line graphs, it is important to check the axis scales and note whether the line is steep (rapid change) or flat (little change).
阅读折线图时，检查坐标轴刻度并注意线条是陡峭（变化迅速）还是平缓（变化很小）很重要。
9. Averages: Mean, Median, and Mode | 平均数：平均数、中位数、众数
The mean is the most commonly used average. It is calculated by adding up all the values and then dividing by the number of values. The mean takes every piece of data into account and can be affected by extreme values.
平均数是最常用的平均值。它的计算方法是把所有数值加起来，再除以数值的个数。平均数考虑了每一条数据，可能会受极端值的影响。
Mean = (sum of all values) ÷ (number of values)
平均数 = (所有数值之和) ÷ (数值个数)
The median is the middle value when the data is ordered from smallest to largest. If there are two middle numbers, the median is the mean of those two. The median is not affected by very high or low values.
中位数是将数据从小到大排列后位于中间的值。如果有两个中间数，中位数就是这两个数的平均值。中位数不会受到极高或极低值的影响。
The mode is the value that occurs most often. A data set can have one mode, more than one mode (bimodal or multimodal), or no mode if all values occur equally often. The mode is the only average that can be used for qualitative data.
众数是出现次数最多的值。一个数据集可以有一个众数、多个众数（双众数或多众数），或者如果没有值重复出现则没有众数。众数是唯一能用于定性数据的平均数。
10. Range and Measures of Spread | 极差与离散程度
The range is the simplest measure of spread. It tells us how spread out the data are and is found by subtracting the smallest value from the largest value.
极差是最简单的离散程度度量。它告诉我们数据的分散情况，通过最大值减去最小值得到。
Range = largest value – smallest value
极差 = 最大值 – 最小值
A small range means the data are tightly clustered around the centre, while a large range indicates greater variability. The range is quick to compute but can be misleading if there is an outlier.
极差小意味着数据紧密集中在中心附近，而极差大则表明变异性更大。极差计算起来很快，但如果存在异常值可能会产生误导。
When comparing two sets of data, we often look at both an average and the range. For example, two classes might have the same mean test score, but one class might have a much bigger range, showing greater differences in performance.
当比较两组数据时，我们通常会同时关注平均数和极差。例如，两个班级可能有相同的平均测验分数，但其中一个班级的极差大得多，说明成绩差异更大。
11. Introduction to Probability | 概率初步
Probability is a measure of how likely an event is to happen. It falls on a scale from 0 (impossible) to 1 (certain). Probabilities can be expressed as fractions, decimals, or percentages.
概率是对某一事件发生可能性的度量。它的范围从 0（不可能）到 1（必然）。概率可以用分数、小数或百分数表示。
The probability of an event A is calculated as: number of favourable outcomes divided by the total number of equally likely outcomes. For a fair six-sided die, the probability of rolling a 3 is 1/6.
事件 A 的概率计算为：有利结果的数量除以所有等可能结果的总数。对于均匀的六面骰子，掷出 3 的概率是 1/6。
P(A) = number of favourable outcomes ÷ total number of outcomes
P(A) = 有利结果数 ÷ 所有可能结果总数
Students learn to use probability language such as ‘likely’, ‘unlikely’, ‘even chance’ and to mark probabilities on a probability scale. Understanding randomness and fairness is key to early probability work.
学生学习使用诸如“很可能”、“不太可能”、“机会均等”等概率语言，并在概率尺度上标出概率。理解随机性和公平性是早期概率学习的关键。
12. The Statistical Enquiry Cycle | 统计调查循环
Throughout Year 7, WJEC Statistics lessons are framed around the statistical enquiry cycle, often summarised as PPDAC: Problem, Plan, Data, Analysis, and Conclusion. This framework helps students approach investigations in a structured way.
在 Year 7 的整个学习过程中，WJEC 统计课程都围绕统计调查循环展开，通常总结为 PPDAC：提出问题(Problem)、制定计划(Plan)、收集数据(Data)、分析数据(Analysis) 和得出结论(Conclusion)。这一框架帮助学生以有结构的方式进行调查。
In the Problem stage, a clear statistical question is formulated. The Plan stage involves deciding what data to collect and how to collect it. The Data stage is the actual collection and organisation. Analysis involves calculating averages, creating charts, and identifying patterns. Finally, the Conclusion answers the original question and reflects on the process.
在提出问题阶段，形成清晰的统计问题。计划阶段决定收集哪些数据以及如何收集。数据阶段是实际收集和整理数据。分析阶段包括计算平均数、制作图表和识别模式。最后，结论阶段回答原始问题并对过程进行反思。
Using the PPDAC cycle builds skills that are transferable across subjects and into everyday decision making, ensuring students see statistics as a powerful tool for understanding the world.
使用 PPDAC 循环可以培养可迁移到其他学科和日常决策中的技能，确保学生将统计视为理解世界的强大工具。
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