📚 Year 8 SQA Statistics: Report Writing Framework and Worked Example | 八年级SQA统计：报告写作框架与示例范文
Writing a statistical report in Year 8 is an exciting way to turn data into a clear story. You will learn how to structure your investigation, present findings and support conclusions with evidence. This guide provides a step‑by‑step framework and a full worked example to help you produce a high‑quality report.
撰写八年级统计报告是将数据转化为清晰故事的绝佳方式。你将学习如何构建调查结构、展示发现并用证据支持结论。本指南提供了分步框架和完整的示例范文，帮助你完成高质量的报告。
1. Understanding the Statistical Investigation Cycle | 理解统计调查循环
Every statistical report follows a process often called PPDAC – Problem, Plan, Data, Analysis and Conclusion. You start by identifying a question, plan how to collect data, gather the information, analyse it and draw conclusions.
每份统计报告都遵循一个通常称为PPDAC的流程——问题、计划、数据、分析和结论。你先确定一个问题，计划如何收集数据，收集信息，分析数据并得出结论。
Your report must reflect this cycle so the reader can follow your thinking from start to finish. Keeping the cycle in mind helps you stay organised and ensures no step is missed.
你的报告必须反映这一循环，这样读者就能从头到尾跟你的思路。牢记这一循环有助于你保持条理，并确保不遗漏任何步骤。
2. Components of a Statistical Report | 统计报告的组成部分
A well‑structured report usually contains these sections: Title, Introduction (aim and hypothesis), Methodology, Results (tables and graphs), Analysis, Conclusion and Evaluation. Each section has a specific job.
结构良好的报告一般包含几个部分：标题、引言（目标和假设）、方法、结果（表格和图表）、分析、结论与评估。每个部分都有其特定的作用。
- Title – Tells the reader exactly what was investigated.
- Introduction – States the aim, hypothesis and why the topic is interesting.
- Methodology – Explains how data was collected, sample size and any limitations.
- Results – Presents data using tables, charts and summary statistics.
- Analysis – Interprets patterns and compares them with the hypothesis.
- Conclusion – Summarises findings and reflects on the process.
- 标题 – 准确告诉读者调查的内容。
- 引言 – 说明目标、假设以及主题为何有趣。
- 方法 – 解释数据如何收集、样本大小和任何局限性。
- 结果 – 使用表格、图表和汇总统计量展示数据。
- 分析 – 解读模式并与假设进行比较。
- 结论 – 总结发现并对过程进行反思。
3. Writing a Clear Aim and Hypothesis | 撰写明确的目标与假设
Your aim is a single sentence that describes what you want to find out. For example: 'The aim of this investigation is to determine the average daily screen time of Year 8 students.' It must be focused and measurable.
你的目标是描述你想了解什么的单个句子。例如：“本调查旨在确定八年级学生每日平均屏幕时间。” 目标必须有重点且可测量。
A hypothesis is an educated guess about what you expect to discover. A good hypothesis for the screen time study might be: 'I predict that over 60% of Year 8 students spend more than 3 hours per day on screens.'
假设是对你预期发现的有根据的猜测。屏幕时间研究的一个好假设可能是：“我预测超过60%的八年级学生每天屏幕使用时间超过3小时。”
4. Describing Your Data Collection Methods | 描述数据收集方法
Explain exactly how you gathered the data. If you used a questionnaire, describe the questions and why you chose them. Mention your sample: how many people, from which classes, and how you ensured it was fair.
准确解释你是如何收集数据的。如果你使用了问卷，描述其中的问题及选择缘由。提及你的样本：多少人、来自哪些班级，以及你如何确保公平。
For a small investigation, a simple random sample of 30 students from the year group might work well. Always state that participation was voluntary and anonymous to avoid bias.
对于小型调查，从年级中简单随机抽取30名学生可能就很好。务必说明参与是自愿且匿名的，以避免偏差。
5. Presenting Data with Tables and Charts | 用表格和图表呈现数据
Data becomes much easier to understand when organised into a frequency table. A grouped frequency table is useful for continuous data like screen time hours.
将数据整理到频数表中就会更容易理解。分组频数表对于屏幕时间这样连续型数据非常有用。
Below is an example table showing how screen time hours were grouped:
以下是一个示例表格，展示屏幕时间小时数是如何分组的：
| Screen time (hours) | Tally | Frequency |
|---|---|---|
| 0 ≤ h < 1 | IIII | 4 |
| 1 ≤ h < 2 | IIII I | 6 |
| 2 ≤ h < 3 | IIII IIII | 9 |
| 3 ≤ h < 4 | IIII II | 7 |
| 4 ≤ h < 5 | III | 3 |
| 5 ≤ h < 6 | I | 1 |
In your report, you should also include a bar chart or pie chart with clear labels and a title. Refer to every table and chart in your writing, for example: 'Figure 1 shows that the most common screen time interval is 2–3 hours.'
在你的报告中，你还应该包含带有清晰标签和标题的条形图或饼图。在行文中引用每一个表格和图表，例如：“图1显示最常见的屏幕时间区间是2–3小时。”
6. Calculating Key Statistics | 计算关键统计量
Summary statistics help you describe the centre and spread of your data. The main ones to calculate are the mean, median, mode and range.
汇总统计量有助于你描述数据的中心和分布。要计算的主要统计量有平均值、中位数、众数和极差。
Using the table above, you can estimate the mean by using the midpoint of each group. The formula for the mean is:
利用上表，你可以使用每组的中点来估算平均值。平均值公式为：
Mean = (Σ f × m) ÷ Σ f
.5 + 3×4.5 + 1×5.5) ÷ 30 = (2 + 9 + 22.5 + 24.5 + 13.5 + 5.5) ÷ 30 = 77 ÷ 30 ≈ 2.57 hours.
其中 f 是频数，m 是中点。对于我们的数据：中点分别为0.5、1.5、2.5、3.5、4.5、5.5。计算得出： 5 + 7×3.5 + 3×4.5 + 1×5.5) ÷ 30 = (2 + 9 + 22.5 + 24.5 + 13.5 + 5.5) ÷ 30 = 77 ÷ 30 ≈ 2.57 小时。
ered. With 30 values, the median lies between the 15th and 16th values; both fall in the 2– ian as about 2.5 hours. The mode is the group 2 ≤ h < 3 with frequency 9. The range is 5.5 – 0 = 5.5 hours.
中位数是数据排序后的中间值。有30个值，中位数在第15和16个值之间；两者都落在2–3小时组，因此我们可以报告中位数约为2.5小时。众数是频数为9的2 ≤ h < 3组。极差为5.5 – 0 = 5.5小时。
7. Analysing and Interpreting Findings | 分析与解释调查结果
Analysis is where you explain what the statistics tell you. Compare the mean and median to your hypothesis. For instance: 'The mean screen time of 2.57 hours is less than the 3‑hour threshold in the hypothesis, suggesting fewer students than expected spend very high daily hours on screens.'
分析是你解释统计量含义的部分。将平均值和中位数与你的假设进行比较。例如：“平均屏幕时间2.57小时低于假设中3小时的门槛，表明每日屏幕使用时间过长的学生少于预期。”
Discuss the spread; a range of 5.5 hours shows wide variation. Comment on any unusual results and link your findings to real‑world reasons. Do not just repeat the numbers – tell a story with the data.
讨论分布情况；5.5小时的极差显示了很大的差异。对任何异常结果加以评论，并将你的发现与实际原因联系起来。不要只是重复数字——要用数据讲故事。
8. Drawing Conclusions and Evaluating | 得出结论与评估
In your conclusion, answer the original question and state whether the hypothesis was supported. For example: 'The results do not fully support the hypothesis; only about 37% of students have screen time above 3 hours.'
在结论中，回答最初的问题并说明假设是否得到支持。例如：“结果不完全支持假设；只有约37%的学生屏幕时间超过3小时。”
Evaluation is a chance to reflect. Acknowledge any limitations, such as small sample size or honesty of answers. Suggest how you would improve the investigation next time. This shows critical thinking.
评估是反思的机会。承认任何局限性，例如样本量小或回答的真实性。建议下次如何改进调查。这体现了批判性思维。
9. Worked Example: Screen Time Survey Report | 范文示例：屏幕时间调查报告
Below is a complete short report written in the style expected for a Year 8 SQA statistics task. Use it as a model for your own writing, making sure you adapt the structure to your own investigation.
以下是一份完整的简短报告，按八年级SQA统计任务期望的风格撰写。将其作为你自己写作的范例，确保根据自己的调查调整结构。
Title: An Investigation into the Daily Screen Time of Year 8 Students
标题：关于八年级学生每日屏幕时间的调查
Introduction
The aim of this investigation is to find out how many hours per day Year 8 students spend on screens (phones, tablets, computers, TV). I became interested in this topic because many friends talk about using devices late at night. I predict that more than 60% of Year 8 students will spend over 3 hours per day on screens.
引言
本调查旨在了解八年级学生每天花在屏幕（手机、平板、电脑、电视）上的时间。我对此话题产生兴趣是因为很多朋友提到深夜使用设备。我预测超过60%的八年级学生每天屏幕时间将超过3小时。
Methodology
I created a short anonymous questionnaire with one main question: 'On an average school day, how many hours do you spend looking at a screen (including phone, TV, gaming)?' Options were given in intervals. I used a simple random sample of 30 students from the Year 8 register. All participants answered voluntarily during registration.
方法
我设计了一份简短的匿名问卷，包含一个主要问题：“在普通上学日，你花在屏幕（包括手机、电视、游戏）上的时间有多少？” 选项以区间给出。我从八年级名册中简单随机抽取了30名学生。所有参与者均在注册时间自愿作答。
Results
The frequency table is shown above in Section 5. A bar chart (not shown here) was also drawn. The estimated mean screen time was 2.57 hours, the median group was 2–3 hours, and the range was 5.5 hours. The mode was the 2–3 hour interval with 9 students.
结果
频数表见上文第5节。还绘制了条形图（此处未展示）。估算的平均屏幕时间为2.57小时，中位数组为2–3小时，极差为5.5小时。众数是9个学生的2–3小时区间。
Analysis
The mean of 2.57 hours is lower than the 3‑hour mark used in my hypothesis. Only 11 out of 30 students (about 36.7%) reported screen time above 3 hours. The data show a wide spread from 0 to 5.5 hours, meaning some students have very little screen time while others have a lot. The mode suggests that the typical student falls into the 2–3 hour category.
分析
2.57小时的平均值低于我假设中使用的3小时标准。30名学生中只有11人（约36.7%）报告的屏幕时间超过3小时。数据显示从0到5.5小时的广泛分布，意味着一些学生屏幕时间很少，而另一些则很多。众数表明典型学生属于2–3小时类别。
Conclusion and Evaluation
The hypothesis that over 60% of students spend more than 3 hours on screens was not supported. In fact, most students had between 2 and 3 hours. The investigation was limited by the small sample size and self‑reported data, which may not be completely accurate. In the future, I would collect data over a week rather than a single day and include more participants to get a more reliable picture.
结论与评估
关于超过60%的学生屏幕时间超过3小时的假设未得到支持。事实上，大多数学生的屏幕时间在2至3小时之间。调查的局限性在于样本量小以及自我报告的数据可能不完全准确。今后，我会收集一周而非单日的数据，并纳入更多参与者以获得更可靠的结果。
10. Common Pitfalls to Avoid | 常见错误避免
Many students lose marks by forgetting to label axes on graphs or leaving out units in tables. Always include clear titles and scales. Another common mistake is confusing analysis with results – analysis explains 'why', results show 'what'.
许多学生因忘记给图表坐标轴加标签或表格中遗漏单位而失分。务必附上清晰的标题和刻度。另一个常见错误是混淆分析与结果——分析解释“为什么”，结果展示“是什么”。
Avoid vague statements like 'The data looks good.' Be specific: 'The median screen time is lower than expected, which suggests that students may be busier with homework than assumed.' Also, never ignore outliers without a brief comment.
避免“数据看起来不错”这样的模糊陈述。要具体：“中位屏幕时间低于预期，这可能表明学生比预想中更忙于作业。” 另外，绝不要不加简要评论就忽略异常值。
Finally, proofread your report and check calculations. Even a small arithmetic error can weaken your conclusion.
最后，校对你的报告并检查计算。即使一个小算术错误也可能削弱你的结论。
Published by TutorHao | Statistics Revision Series | aleveler.com
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