📚 Year 7 AQA Statistics: Writing Framework and Model Essay | Year 7 AQA 统计：论文写作框架与范文
A statistical investigation is more than just crunching numbers – it is a way of telling a story with data. In Year 7 AQA Statistics, you will often be asked to plan, carry out and write up a small research project. This article gives you a clear structure to follow and shows you a full model essay so you can see exactly what a high-quality report looks like. By the end, you will feel confident about organising your ideas, presenting your findings and reflecting on your work.
统计调查绝不仅仅是与数字打交道——它是用数据讲述一个故事的方式。在 Year 7 AQA 统计课程中，你经常需要规划、执行并撰写一个小型研究项目。本文将为你提供一个清晰的结构，并展示一篇完整的范文，让你直观了解一份高质量的报告是什么样子。读完本文后，你将能够自信地组织思路、展示发现并反思自己的工作。
1. Understanding the Investigation Question | 理解调查问题
Every statistical investigation starts with a clear, focused question. Instead of a vague idea like 'find out about screen time', a good question is specific and measurable, for example: 'How many hours per day do Year 7 students spend on their mobile phones during the school week?' This question makes it clear who you will ask, what you will measure and how the data will be collected.
每项统计调查都始于一个清晰且明确的问题。好的问题应当具体、可度量，而不是像‘调查屏幕使用时间’这样模糊的想法。例如：‘七年级学生在上学日每天花多少小时使用手机？’这个问题明确了调查对象、测量内容以及数据收集方式。
A strong investigation question often includes a comparison or a prediction. For instance, you might compare boys and girls, or predict that most students spend between 2 and 4 hours on their phones. Having a prediction, or hypothesis, gives your report a sense of purpose.
一个有力的调查问题通常包含比较或预测。例如，你可以比较男生和女生，或者预测大多数学生每天使用手机的时间在 2 到 4 小时之间。提出预测（或假设）会让你的报告更有方向感。
2. Planning Your Data Collection | 规划数据收集
Once your question is fixed, you need to decide how to gather the data. Will you use a questionnaire, an observation sheet, or carry out an experiment? For a survey about phone use, a short questionnaire is ideal. You must also think about your sample – who will you ask? A sample of 30 students from your year group might be manageable and give meaningful results. Always explain why you have chosen that sample size.
确定问题后，你需要决定如何收集数据。你会使用问卷、观察记录表还是进行实验？对于手机使用情况的调查，简短的问卷最为合适。此外，你还需要考虑样本——你将调查谁？从年级中抽取 30 名学生作为样本或许容易操作并能得到有意义的结果。记得解释选择该样本量的理由。
Think about ethical issues too. Explain that all answers will be anonymous and that participants can choose not to take part. Mentioning this shows you have planned responsibly, and it is good practice for real-world research.
同时要考虑伦理问题。说明所有回答均匿名，参与者可以自愿选择是否参加。提及这一点表明你的规划具有责任感，这也是真实研究中的良好惯例。
3. Collecting the Data | 收集数据
This section describes how you actually gathered the information. Write in the past tense – for example: 'I handed out a questionnaire to 30 Year 7 students during form time and collected them after five minutes.' Include a copy of your blank questionnaire in the appendix if possible, or describe its questions in the main text. Make sure you record data accurately; a simple table on paper works well before you transfer it to a spreadsheet or neat table.
这一部分描述你是如何实际收集信息的。使用过去时态，例如：‘我在班会时间向 30 名七年级学生发放了问卷，并在五分钟后回收。’ 如有可能，将空白问卷副本放入附录，或在正文中描述其问题内容。确保准确记录数据；在纸上设计一张简单的表格，之后再誊录到电子表格或整洁的表格中，效果会很好。
If you use secondary data (data someone else collected), state clearly where you found it and why it is reliable. For a Year 7 project, primary data you gather yourself is usually best because it gives you full control over the process.
如果你使用二手数据（他人收集的数据），请清楚说明数据来源及其可靠性。对于 Year 7 项目而言，自己收集的一手数据通常是最佳选择，因为你能完全掌控整个过程。
4. Organising Data into Tally Charts and Frequency Tables | 将数据整理为计数表和频数表
Raw data is messy, so the first step is to convert it into a tidy frequency table. For discrete data (like number of hours, rounded to whole numbers), you can use a tally chart to count how many students fall into each category. For continuous data (like time measured to the nearest half hour), you may need grouped frequency tables.
原始数据通常是杂乱的，因此第一步是将其转化为整洁的频数表。对于离散数据（如以整小时计数的时长），可以使用计数表统计各个类别中的学生人数。对于连续数据（如精确到半小时的时间），可能需要使用分组频数表。
Here is an example of a tally chart for a question asking how many hours per day students spend on their phones:
以下是关于学生每天使用手机小时数问题的计数表示例：
| Hours | Tally | Frequency |
|---|---|---|
| 0 | ||| | 3 |
| 1 | ∣∣∣∣ ∣∣ | 7 |
| 2 | ∣∣∣∣ ∣∣∣ | 8 |
| 3 | ∣∣∣∣ | 5 |
| 4 | ∣∣∣ | 3 |
| 5 | ∣∣ | 2 |
| 6 | ∣ | 1 |
| 7 | ∣ | 1 |
| Total | 30 |
Always add a total row so it is clear how many participants you included. This table becomes the foundation for all your graphs and calculations.
务必添加合计行，以明确参与者的总数。这张表格是你绘制所有图表和进行计算的基础。
5. Presenting Data with Graphs | 用图表展示数据
Graphs help readers spot patterns quickly. For discrete data, a bar chart or a pictogram works well. For continuous data, use a histogram or a frequency polygon. In Year 7, a well-drawn bar chart with labelled axes, a clear title and an even scale usually meets the requirements. Avoid adding extra decoration that might mislead; a plain, accurate graph is exactly what examiners want.
图表能帮助读者快速发现分布规律。对于离散数据，可使用条形图或象形图；对于连续数据，可使用直方图或频数折线图。在 Year 7，一张绘制规范、坐标轴有标签、有清晰标题且刻度均匀的条形图通常就能满足要求。避免添加可能引起误导的多余装饰；简洁、准确的图表正是考官希望看到的。
You can describe your graph in words even if you cannot include a digital image. For example: 'The bar chart shows that the modal number of hours is 2, with a frequency of 8 students. The shape of the bars is concentrated around 1–3 hours, and only one student reported 7 hours, which appears as an outlier.'
即使无法插入数字图像，你也可以用文字描述图表。例如：‘条形图显示小时数的众数为 2，频数为 8 名学生。柱形主要集中在 1–3 小时区间，只有一名学生报告了 7 小时，这表现为一个异常值。’
6. Calculating Averages and the Range | 计算平均数与极差
Averages summarise a dataset in a single number. You should calculate the mean, median and mode. The mean is found by adding up all the values and dividing by the total frequency: Mean = (sum of all data values) ÷ number of data points. The median is the middle value when data are ordered; the mode is the value that appears most often. Each average tells a slightly different story, so it is good to discuss all three.
平均数用一个数字概括整个数据集。你需要计算均值、中位数和众数。均值是将所有数值相加再除以数据总数：均值 = (所有数据值之和) ÷ 数据点个数。中位数是将数据排序后位于中间的值；众数是出现频率最高的值。每一种平均数从略微不同的角度描述了数据，因此最好三者都加以讨论。
). Ordered data would show the median is 2 hours. The mode is 2 hours. The range = maximum – minimum = 7 – s the data are quite spread out. Present these calculations clearly, showing your working.
根据上表：总小时数之和 = 0×3 + 1×7 + 2×8 + 3×5 + 4×3 + 5×2 + 6×1 + 7×1 = 0+7+16+15+12+10+6+7 = 73。均值 = 73 ÷ 30 = 2.43 小时（保留两位小数）。将数据排序后可知中位数为 2 小时。众数为 2 小时。极差 = 最大值 – 最小值 = 7 – 0 = 7 小时，这说明数据分布相当分散。呈现这些计算时应步骤清晰，展示运算过程。
7. Interpreting Your Results | 解读你的结果
Now comes the most important part: explaining what the numbers mean. Do not simply repeat the calculations; instead, connect them back to your original question. For example: 'The mean screen time is 2.43 hours, which suggests that, on average, Year 7 students use their phones for just under 2½ hours per school day. However, the median of 2 hours and mode of 2 hours suggest that a typical student is closer to 2 hours, and the mean is pulled up slightly by a few students who use their phones a lot.'
现在到了最重要的部分：解释这些数字意味着什么。不要只是复述计算结果，而要将其与最初的调查问题联系起来。例如：‘平均屏幕使用时间为 2.43 小时，这表明七年级学生上学日平均使用手机接近 2.5 小时。然而，中位数和众数均为 2 小时，说明典型学生的使用时间更接近 2 小时，而均值被少数使用手机时间很长的学生略微拉高了。’
Use phrases like 'This tells us...', 'A possible reason for this is...', and 'Compared to my prediction...'. If you predicted that most students would spend 2–4 hours, you can say whether the data support that or not. Interpreting data is about making sense of patterns and suggesting reasons, not just describing.
使用诸如‘这告诉我们……’、‘一个可能的原因是……’以及‘与我的预测相比……’等表达。假如你曾预测大多数学生使用手机 2–4 小时，你可以说明数据是否支持该预测。解读数据的关键在于理解数据规律并推测原因，而不仅仅是描述。
8. Drawing Conclusions | 得出结论
A conclusion should answer the investigation question clearly and succinctly. You might write: 'In conclusion, the majority of Year 7 students spend between 1 and 3 hours per day on their mobile phones on school days, with 2 hours being the most common response. My hypothesis was mostly correct, although the range was much wider than I expected, from 0 to 7 hours.' A good conclusion also mentions any limitations in your data or method.
结论应清晰简明地回答调查问题。你可以这样写：‘总之，大多数七年级学生上学日每天使用手机的时间在 1 至 3 小时之间，最常见的回答是 2 小时。我的假设大体正确，尽管极差比我预想的要大得多，从 0 到 7 小时不等。’ 好的结论还应提及数据或方法上存在的任何局限。
Do not introduce brand-new interpretations in the conclusion; it should summarise the key findings you have already discussed. Keep it short and focused.
不要在结论中引入全新的解读；它应概括你已经讨论过的关键发现。保持简短而集中。
9. Evaluating Your Investigation | 评估你的调查
Evaluation is where you honestly reflect on what went well and what could be improved. Ask yourself: Was the sample size large enough? Was the sample representative (e.g. were equal numbers of boys and girls included)? Could the question have been misunderstood by participants? Did you use the most appropriate graph or average?
评估部分是你诚实反思自己调查成败的地方。问问自己：样本量足够大吗？样本具有代表性吗（例如是否包含了同等数量的男生和女生）？问题是否可能被参与者误解？你是否使用了最合适的图表或平均数？
For example: 'One weakness of my investigation is that I only surveyed students from one form group, so the results might not represent the whole of Year 7. In the future, I would ask every fifth student on the register to get a more random sample. Also, some students may have rounded their screen time to the nearest hour, so my data might lack precision.' Being self-critical shows higher-order thinking.
例如：‘我的调查的一个不足之处是只调查了一个班级的学生，因此结果可能无法代表整个七年级。今后我会选择名单上每隔四人的学生进行调查，以获取更具随机性的样本。另外，有些学生可能将屏幕使用时间四舍五入到了最接近的小时数，因此我的数据可能不够精确。’ 能够自我批评体现了高阶思维能力。
10. Structure of the Report and Final Touches | 报告结构与收尾工作
A complete report should have the following sections in order: Title, Introduction, Planning, Data Collection, Data Organisation (tables), Data Presentation (graphs), Calculations (averages and range), Interpretation, Conclusion, Evaluation, and Appendix (if needed). Use headings to organise your work clearly, and number any tables or graphs like Table 1 or Figure 1. Refer to them in your writing, for example: 'As Table 1 shows, the modal number of hours is 2.'
一份完整的报告应按顺序包含以下部分：标题、引言、规划、数据收集、数据整理（表格）、数据展示（图表）、计算（平均数与极差）、解读、结论、评估以及附录（如需要）。使用小标题清晰组织你的内容，并对所有表格或图表进行编号，例如表 1、图 1。在正文中引用它们，比如：‘如表 1 所示，小时数的众数为 2。’
Check your spelling, grammar and number presentation carefully. A tidy, well-structured report with accurate calculations will always score highly. Finally, attach any blank data collection sheets at the end.
仔细检查拼写、语法和数字的呈现。一份整洁、结构良好且计算准确的报告总能获得高分。最后，将空白的数据收集表附在报告末尾。
11. Model Essay: Screen Time Investigation | 范文：屏幕使用时间调查
Below is a concise model report that follows the framework described above. It is written as a student might submit it, keeping language appropriate for Year 7. Use it to check your own structure and style.
下面是一份简练的范文，遵循了上述框架。以学生可能提交的形式撰写，语言难度适合 Year 7。你可以用它来对照自己的结构和文体。
Title: How many hours per day do Year 7 students spend on their mobile phones during the school week?
Introduction
I decided to investigate phone use among Year 7 students because I wanted to know if my peers have similar screen habits. My hypothesis was that the typical student spends between 2 and 3 hours per day on their phone, and that very few would report 0 or more than 5 hours.
引言
我决定调查七年级学生的手机使用情况，因为我想了解同龄人是否有着相似的屏幕使用习惯。我的假设是，典型学生每天使用手机的时间在 2 到 3 小时之间，极少数人会报告 0 小时或 5 小时以上。
Planning and Data Collection
I designed a one‑question questionnaire asking 'How many hours per day do you spend on your phone during a school week (Monday to Friday)?' I explained that the survey was anonymous and voluntary. I handed it out to 30 students from my maths class, making sure to include 15 boys and 15 girls to have a balanced sample. Data were collected on paper and later typed into a spreadsheet.
规划与数据收集
我设计了一份仅含一个问题的问卷：‘在上学周（周一至周五），你每天使用手机多少小时？’ 我说明了调查是匿名且自愿的。我向数学班的 30 名学生发放了问卷，并确保包含 15 名男生和 15 名女生，以获得平衡样本。数据通过纸质收集，随后录入电子表格。
Data Organisation
2 hours − 8, 3 hours − 5, 4 hours − 3, 5 hours − 2, 6 hours − 1, 7 hours − 1. Total = 30.
数据整理
我制作了一张包含计数符号的频数表（见附录表 1）。频数分别为：0 小时——3 名学生，1 小时——7 名，2 小时——8 名，3 小时——5 名，4 小时——3 名，5 小时——2 名，6 小时——1 名，7 小时——1 名。合计 = 30。
Graph
I drew a bar chart with hours (0 to 7) on the x‑axis and frequency on the y‑axis. The tallest bar was at 2 hours, confirming that 2 hours is the mode. The bars are highest at 1, 2 and 3 hours, showing that most responses are clustered around these values.
图表
我绘制了条形图，x 轴为小时（0 至 7），y 轴为频数。最高的柱形出现在 2 小时处，确认众数为 2 小时。1、2、3 小时的柱形最高，表明大多数回答集中在这些数值附近。
Averages and Range
6,7. The 15th and 16th values are both 2, so median = 2. The mode = 2 hours. The range = 7 – 0 = 7 hours.
平均数与极差
总小时数之和 = 73，因此均值 = 73 ÷ 30 = 2.43 小时（保留两位小数）。排序后的数据为：0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,6,7。第 15 和第 16 个值均为 2，因此中位数为 2。众数 = 2 小时。极差 = 7 – 0 = 7 小时。
Interpretation and Conclusion
The mean (2.43) is higher than the median (2) because a few students reported high values of 6 and 7 hours. The mode of 2 and the cluster of bars at 1–3 hours support my hypothesis that a typical Year 7 student spends around 2 hours per day on their phone. The range is surprisingly large, meaning phone use varies a great deal from student to student. In conclusion, my hypothesis was partially supported: most students do use their phones for 1–3 hours, but the presence of extreme values means the average is slightly pulled upwards and the spread is wider than I expected.
解读与结论
均值（2.43）高于中位数（2），这是因为少数学生报告了 6 和 7 小时的高数值。众数为 2，且 1–3 小时区间柱形集中，这支持了我的假设，即典型七年级学生每天使用手机约 2 小时。极差大得惊人，意味着手机使用时间在不同学生之间差异巨大。总之，我的假设得到了部分支持：大多数学生确实使用手机 1–3 小时，但极端值的存在使均值略微偏大，分布范围比我预想的更广。
Evaluation
My investigation had strengths: I used a balanced sample of boys and girls, and my questionnaire was simple and quick. However, I only surveyed one maths class, so the results may not represent all Year 7 students. Some participants may have estimated their hours inaccurately, and asking about 'school week' only might miss weekend habits. If I did this again, I would sample from multiple forms and ask for screen time details (e.g. apps used) to enrich the data.
评估
本次调查有优点：我采用了男女生均衡的样本，问卷简单快捷。然而，我只调查了一个数学班级的学生，因此结果可能无法代表所有七年级学生。一些参与者可能估算小时数不够准确，而且仅询问‘上学周’可能忽略了周末的习惯。如果再做一次，我会从多个班级抽样，并询问屏幕使用细节（如使用的应用程序）以丰富数据。
12. Tips for Writing Your Own Report | 撰写自己报告的提示
Before you start, write a brief plan listing each section. Use the checklist: clear question, hypothesis, description of method, clean frequency table, a labelled graph, all three averages and range correctly calculated, and a conclusion that links back to the question. Avoid copying from the internet; your teacher wants to see your own thinking. And remember – accuracy matters more than length. A concise, correct report will always beat a long, messy one.
动笔前，先写一份简短的提纲，列出各部分内容。使用以下检查清单：问题清晰、有假设、方法描述清楚、频数表整洁、图表有标签、三种平均数与极差计算正确、结论与问题相呼应。避免从网上抄写；老师想看到的是你自己的思考。切记——准确性比篇幅更重要。一份简洁而正确的报告永远胜过冗长凌乱的报告。
Practice by picking a simple topic – such as 'How many hours of sleep do Year 7 students get?' or 'What is the most popular fruit in the canteen?' – and go through the entire framework. With practice, writing statistical reports will become a routine you can tackle with confidence in any assessment.
你可以选择一个简单的主题进行练习，比如‘七年级学生每天睡多少小时？’或‘食堂里最受欢迎的水果是什么？’，并走一遍整个写作框架。通过练习，撰写统计报告将成为你可以自信应对任何评估的常规任务。
Published by TutorHao | Statistics Revision Series | aleveler.com
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