📚 Year 7 Cambridge Statistics: Report Writing Framework & Sample | Year 7 剑桥统计：报告写作框架与范文
Writing a statistical report is a vital skill in the Year 7 Cambridge curriculum. It moves you beyond simply making graphs and calculating averages – it requires you to tell the story behind the numbers, using a clear structure and evidence-based reasoning. This article provides a complete writing framework, practical examples and a full sample report to guide you through every stage, from choosing a research question to presenting your final conclusions.
撰写统计报告是 Year 7 剑桥课程中的一项重要技能。它让你不再只是绘制图表和计算平均数，而是要求你运用清晰的结构和基于证据的推理，讲述数字背后的故事。本文提供一个完整的写作框架、实用范例和一篇完整的范文报告，引导你走完从选择研究问题到呈现最终结论的每一个阶段。
1. Understanding the Task | 理解任务
A statistical investigation begins with a real-world question that can be answered using data. In Year 7, you will design a survey or experiment, collect primary data, organise it, create displays, calculate statistics and write a structured report. The report must show not just your calculations, but also your thinking and your ability to interpret results.
统计调查始于一个可以用数据回答的现实问题。在 Year 7，你将设计一项问卷调查或实验，收集一手数据，加以整理，制作图表，计算统计量，并撰写结构化的报告。报告不仅要展示你的计算，还要体现你的思考过程以及解读结果的能力。
Your report should read like a story: what did you want to find out? How did you do it? What did you see? What does it mean? And was the investigation fair?
你的报告应该像在讲述一个故事：你想探究什么？你是如何去做的？你看到了什么现象？这意味着什么？这次调查是否公平？
2. Formulating a Research Question | 提出研究问题
A strong research question is specific, measurable and relevant to the people you can survey. Avoid yes/no questions; instead phrase your question so that it asks for a comparison, a trend or a relationship. For example, ‘How many hours do Year 7 students sleep on a school night?’ is clearer than ‘Do you sleep enough?’.
一个好的研究问题应是具体的、可度量的，并且与你能够调查的人群相关。避免是非问句，而要提出一个可以进行比较、发现趋势或探究关系的问题。例如，“七年级学生在上学日的晚上睡多少小时？”就比“你睡眠充足吗？”更清晰。
A good research question also allows you to collect numerical data (continuous or discrete) or categorical data. For Year 7, questions about ‘the number of …’, ‘time spent on …’, ‘favourite …’, or comparisons between boys and girls work well.
好的研究问题还能让你收集数值数据（连续或离散数据）或类别数据。针对 Year 7，与“……的数量”、“在……上花的时间”、“最喜欢的……”相关的问题，或男女生之间的比较，都是不错的选择。
3. Planning Your Data Collection | 规划数据收集
Before you collect data, write a short plan that identifies the population (e.g. all Year 7 students in your school), the sample, the sample size and the method. Will you use a printed questionnaire, an online form, or face-to-face interviews? Explain how you will make the data collection fair and unbiased.
在收集数据之前，写一份简短的计划，明确总体（例如你所在学校的所有七年级学生）、样本、样本量和方法。你将使用纸质问卷、在线表格还是面对面访谈？请说明你将如何确保数据收集的公平和无偏。
If you are comparing groups, keep the sample sizes similar and avoid leading questions. A leading question like ‘Don’t you agree that homework is too much?’ pushes people towards one answer. Instead, ask ‘How many minutes of homework do you do per evening?’.
如果进行比较，请保持各组样本量相近，并避免引导性问题。像“你不觉得作业太多了吗？”这样的引导性问题会把回答者的选择推向某一端。应改为“你每晚做多少分钟的家庭作业？”。
4. Collecting and Recording Data | 收集与记录数据
Record raw data neatly in a table or spreadsheet. Each row should represent one individual, and each column should represent a variable. Using a tally system while collecting makes it easier to spot errors later. Always double-check your counts before moving on.
将原始数据整齐地记录在表格或电子表格中。每一行代表一个个体，每一列代表一个变量。收集数据时使用画记法有助于日后发现错误。在继续下一步之前，务必再次核对你的计数。
For a small sample of 30 students, a handwritten tally table like this is perfectly acceptable:
| Hours of sleep | Tally | Frequency |
|---|---|---|
| 6 | III | 3 |
| 7 | IIII II | 7 |
| 8 | IIII IIII | 9 |
| 9 | IIII I | 6 |
| 10 | IIII | 5 |
For a small sample of 30 students, a simple tally table as shown above is easy to create and helps you build a frequency distribution rapidly.
对于30名学生的小样本而言，如上所示的简易画记表创建方便，还能帮助你快速构建频数分布。
5. Organising Data into Frequency Tables | 将数据整理成频数表
A frequency table groups data to show how often each value or category occurs. For discrete data, list each value and its frequency. For grouped continuous data, choose class intervals of equal width, such as 0 ≤ t < 5, 5 ≤ t < 10. Remember that the sum of the frequencies must equal the total number of data points.
频数表将数据分组，以显示每个值或类别出现的次数。对于离散数据，列出每一个值及其频数。对于需要分组的连续数据，选择等宽的组距，例如 0 ≤ t < 5，5 ≤ t < 10。请记住，频数之和必须等于数据点的总数。
In your report, always label the columns clearly and give the table a number and a title. For example, ‘Table 1: Hours of sleep per night for a sample of 30 Year 7 students.’
在报告中，务必清晰地标注各列，并为表格编号和命名。例如，“表1：30名七年级学生样本每晚睡眠小时数”。
6. Choosing the Right Graph | 选择合适的图表
The graph you pick depends on the type of data. Use a bar chart for categorical data (e.g. favourite fruit) and a histogram for grouped continuous data (e.g. heights). A pictogram works well for simple frequencies, while a line graph shows change over time. For Year 7, pie charts are useful for showing proportions out of a whole.
选择何种图表取决于数据的类型。类别数据（如喜爱的水果）使用条形图，分组的连续数据（如身高）使用直方图。象形图适合简单的频数展示，折线图则用于显示随时间的变化。对 Year 7 而言，饼图适合表现部分与整体的比例关系。
Every graph must have a title, labelled axes with units, and a consistent scale. When comparing two groups, use side-by-side bars or two pie charts of the same size. Never start a bar chart with a broken axis unless you clearly explain why.
每张图表必须要有标题、带单位的坐标轴标签和一致的刻度。比较两组数据时，使用并列的条形或用两个大小相同的饼图。除非你能清楚说明理由，否则切勿从折断的坐标轴开始绘制条形图。
7. Calculating Summary Statistics | 计算概括统计量
Summary statistics condense a whole data set into a few key numbers. For Year 7, you must be able to find the mean, median, mode and range. Each tells you something different about the data: the mean gives the average, the median shows the middle value, the mode identifies the most frequent value, and the range tells you how spread out the data are.
概括统计量将整个数据集浓缩成几个关键数字。在 Year 7 阶段，你需要掌握计算平均数、中位数、众数和极差。每一个都揭示了数据的不同特征：平均数给出平均值，中位数显示中间值，众数识别出现最频繁的值，极差则告诉你数据的分散程度。
Use these formulas and symbols clearly in your report:
Mean = Σx ÷ n
在你的报告中清晰地使用这些公式和符号：
平均数 = Σx ÷ n
For the median, order the data from smallest to largest. If there are n data values and n is odd, the median is the (n+1)/2-th value. If n is even, average the two middle numbers. The range is simply the largest value minus the smallest value.
求中位数时，先将数据从小到大排列。若共有 n 个数据且 n 为奇数，中位数即为第 (n+1)/2 个数值；若 n 为偶数，则取中间两个数的平均数。极差就是最大值减去最小值。
8. Writing the Analysis | 撰写分析
The analysis is the heart of your report. Start by describing what the graphs and statistics show without adding your opinion. Use comparative language: ‘The bar chart shows that the modal sleep duration was 8 hours, while the mean was slightly lower at 7.8 hours.’ Then interpret what this might suggest about student sleep habits.
分析部分是报告的核心。先描述图表和统计量所显示的信息，不要加入个人意见。使用比较性的语言：“条形图显示众数睡眠时长是8小时，而平均数则略低，为7.8小时。”然后解释这可能说明了学生睡眠习惯的什么特点。
Always link your statements back to the research question. Compare groups if relevant: ‘Boys in the sample slept on average 0.4 hours more than girls, but the range for girls was larger, suggesting more variation in girls’ bedtime routines.’
始终将你的叙述与最初的研究问题联系起来。如果相关，比较不同组别：“样本中男生的平均睡眠时间比女生多0.4小时，但女生的极差更大，这表明女生的就寝规律变化更大。”
9. Drawing Conclusions | 得出结论
A strong conclusion answers the research question directly and summarises the key finding. Avoid repeating all your numbers; instead, give a concise statement such as ‘Year 7 students at this school sleep an average of 7.8 hours on school nights, which is below the recommended 9-11 hours for this age group.’
有力的结论直接回答了研究问题，并概括关键发现。避免将所有数字重复一遍；相反，给出简洁的陈述，例如“该校七年级学生上学日的平均睡眠时长为7.8小时，低于该年龄段建议的9至11小时。”
You must also evaluate the reliability of your data. Mention any limitations: small sample size, possible dishonesty in answers, or a sample taken only from one class. Suggest how you could improve the investigation if you did it again.
你还必须评估数据的可靠性。提及任何局限性：样本量小、受访者回答可能不真实，或样本仅来自一个班级。说明如果再做一次调查，可以怎样改进。
10. Sample Statistical Report: Year 7 Bedtimes | 范文统计报告：七年级就寝时间
Below is a complete sample report written for a Year 7 statistical investigation. Study the structure, the language, and how each section fulfils a purpose. All data presented is realistic and follows Cambridge expectations.
以下是一篇为 Year 7 统计调查撰写的完整范文报告。请仔细研究其结构、语言以及各部分如何实现特定目的。文中所有数据均符合实际情况，并遵循剑桥课程的要求。
Title: An Investigation into Year 7 Bedtimes and Sleep Duration
标题：关于七年级就寝时间和睡眠时长的调查
Introduction
I wanted to find out what time Year 7 students go to bed on a school night and how many hours they actually sleep. I chose this topic because many classmates complain about feeling tired in the morning. My research question was: ‘What is the typical bedtime and total sleep hours of Year 7 students on school nights?’
引言
我想了解七年级学生在上学日晚上的就寝时间以及实际睡眠时长。选择这个主题是因为许多同学抱怨早上感到很困。我的研究问题是：“七年级学生上学日的典型就寝时间和总睡眠小时数是多少？”
Method
I used a questionnaire given to 30 randomly chosen Year 7 students (15 boys and 15 girls) during form time. The anonymous questionnaire asked two questions: ‘What time do you usually go to bed on a school night?’ and ‘What time do you usually wake up on a school day?’ I then calculated the sleep duration.
方法
我在班主任时间向随机选取的30名七年级学生（15名男生和15名女生）发放了一份问卷。匿名问卷包含两个问题：“你在上学日晚上通常几点就寝？”以及“你在上学日早上通常几点起床？”随后我计算了睡眠时长。
Results
The collected data were organised into stem-and-leaf diagrams and frequency tables. Table 1 displays the sleep durations.
结果
收集到的数据整理成了茎叶图和频数表。表1展示了睡眠时长。
Table 1: Sleep duration on school nights (hours)
| Sleep hours | Frequency |
|---|---|
| 6.0–6.9 | 2 |
| 7.0–7.9 | 8 |
| 8.0–8.9 | 14 |
| 9.0–9.9 | 5 |
| 10.0–10.9 | 1 |
表1：上学日晚上睡眠时长（小时）
| 睡眠小时数 | 频数 |
|---|---|
| 6.0–6.9 | 2 |
| 7.0–7.9 | 8 |
| 8.0–8.9 | 14 |
| 9.0–9.9 | 5 |
| 10.0–10.9 | 1 |
A comparative bar chart showed that the most common sleep duration for both genders was between 8.0 and 8.9 hours. The mean sleep duration was 8.1 hours, with a median of 8.2 hours. The mode was also in the 8.0–8.9 interval. The range of sleep duration was 4.0 hours.
对比条形图显示，男女两组最常见的睡眠时长均在8.0至8.9小时之间。平均睡眠时长为8.1小时，中位数为8.2小时，众数同样落在8.0–8.9小时区间。睡眠时长的极差为4.0小时。
Analysis
The data show that the majority of Year 7 students sleep between 8 and 9 hours. The small difference between the mean and median tells us the distribution is fairly symmetrical, with no extreme outliers. However, two students reported sleeping less than 7 hours, which could affect their concentration. The range of 4 hours suggests bedtime habits vary a lot within the year group.
分析
数据显示，大多数七年级学生的睡眠时间在8至9小时之间。平均数与中位数的差异很小，告诉我们分布大致对称，没有极端离群值。然而，有两名学生报告睡眠不足7小时，这可能影响他们的注意力。4小时的极差表明，整个年级的就寝习惯差异很大。
Conclusion
Year 7 students at this school sleep on average 8.1 hours on school nights. While most are close to the recommended minimum of 8 hours, some fall far below. The investigation was limited by a small sample and self-reported data, which may not be perfectly accurate. If I repeated this, I would use a larger sample and ask about device usage before bed, as that could influence sleep.
结论
该校七年级学生在上学日的平均睡眠时间为8.1小时。虽然多数学生接近建议的最低8小时，但有些学生远低于此。本次调查存在样本量小和自报数据可能不够准确的局限。如果再做一次，我会增加样本量，并询问睡前使用电子设备的情况，因为这可能影响睡眠。
11. Common Mistakes and How to Avoid Them | 常见错误及避免方法
Even strong students lose marks on small errors. One common mistake is forgetting to label axes or include units on a graph. Another is calculating the mean incorrectly because of an arithmetic slip, or confusing the median with the mode. Always re-check your calculations using a different method or a calculator.
即使是优秀的学生也会因小错误而丢分。一个常见错误是忘记给图表标注坐标轴或单位。另一个错误是因计算差错导致平均数计算错误，或是将中位数与众数混淆。一定要用不同的方法或用计算器重新检查你的计算。
Vague language also weakens a report. Instead of writing ‘the graph goes up’, say ‘the frequency increases as the sleep duration increases from 6 to 8 hours’. Avoid making conclusions that the data cannot support, such as claiming ‘all Year 7 students are tired’ when you only surveyed 30.
模糊的语言也会削弱报告的说服力。不要写“图表向上走”，而应写“随着睡眠时长从6小时增加到8小时，频数上升”。避免得出数据无法支撑的结论，比如仅凭30人的调查就断言“所有七年级学生都感到疲倦”。
12. Final Checklist for Your Report | 报告最终检查清单
Before submitting, use this checklist to ensure your report meets the Year 7 standard:
- Does the title reflect the research question?
- Is there a clear introduction explaining why you chose the topic?
- Have you described your data-collection method and sample size?
- Are all tables and graphs numbered, titled and properly labelled?
- Have you calculated the mean, median, mode and range correctly?
- Does the analysis refer to specific numbers from your graphs and tables?
- Have you answered the research question in the conclusion?
- Have you discussed limitations and suggested improvements?
提交前，用这份清单检查你的报告是否符合 Year 7 的标准：
- 标题是否反映了研究问题？
- 是否有清晰的引言，解释了你为什么选择这个主题？
- 你是否描述了数据收集的方法和样本量？
- 所有的表格和图表是否都有编号、标题和恰当的标注？
- 你是否正确计算了平均数、中位数、众数和极差？
- 分析部分是否引用了图表和表格中的具体数字？
- 你是否在结论中回答了研究问题？
- 你是否讨论了局限性并提出了改进建议？
Going through this checklist will help you catch missing elements and turn a good report into an excellent one.
逐项检查这份清单将帮助你发现遗漏之处，使一份好的报告变得优秀。
Published by TutorHao | Statistics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
屏轩国际教育cambridge primary/secondary checkpoint, cat4, ukiset,ukcat,igcse,alevel,PAT,STEP,MAT, ibdp,ap,ssat,sat,sat2课程辅导，国外大学本科硕士研究生博士课程论文辅导Cancel reply