📚 Statistical Report Writing: Framework & Model Answer for Year 9 Edexcel | 九年级Edexcel统计报告写作框架与范文
Writing a statistical report is a key skill for Year 9 Edexcel Statistics. It requires you to plan an investigation, collect and present data, analyse results and evaluate your findings. This article provides a clear framework and a complete model answer, helping you structure your report confidently and score top marks.
撰写统计报告是九年级Edexcel统计学的一项关键技能。你需要规划调查、收集和展示数据、分析结果并评估发现。本文提供了清晰的框架和一篇完整的范文，帮助你自信地组织报告并获得高分。
1. Understanding the Purpose of a Statistical Report | 理解统计报告的目的
A statistical report is not just a list of numbers. It tells a story with data, leading to a conclusion. In Year 9 Edexcel, you will typically compare two sets of data, such as boys’ versus girls’ homework hours, to test a hypothesis.
统计报告不仅仅是罗列数字。它用数据讲述一个故事，最终得出结论。在九年级Edexcel课程中，你通常需要比较两组数据，比如男生和女生的作业时间，以检验某个假设。
Your report must show the examiner that you can follow the statistical enquiry cycle: hypothesis, data collection, presentation, analysis, conclusion and evaluation.
你的报告必须向考官展示你能遵循统计调查循环：假设、数据收集、展示、分析、结论和评估。
2. The Standard Report Framework | 标准报告框架
A well-structured report follows seven clear sections. Use this framework every time you write:
一份结构良好的报告包含七个明确的部分。每次写作都使用这个框架：
1. Introduction and Hypothesis – State what you are investigating and your prediction.
2. Data Collection Sheet – Show how you planned to record the raw data.
3. Raw Data – Present the unprocessed numbers clearly.
4. Organised Data and Graphs – Use tables, stem-and-leaf diagrams or bar charts.
5. Summary Statistics – Calculate the mean, median, mode and range.
6. Analysis and Comparison – Compare the two data sets using statistics.
7. Conclusion and Evaluation – Answer the hypothesis and reflect on your method.
1. 引言与假设 – 说明你在调查什么以及你的预测。
2. 数据收集表 – 展示你计划如何记录原始数据。
3. 原始数据 – 清晰地列出未经处理的数字。
4. 整理数据与图表 – 使用表格、茎叶图或条形图。
5. 汇总统计量 – 计算平均数、中位数、众数和极差。
6. 分析与比较 – 利用统计量比较两组数据。
7. 结论与评估 – 回答假设并反思你的方法。
3. Step 1: Introduction and Hypothesis | 第一步：引言与假设
Begin by stating the aim. Then write a clear hypothesis – a statement you will test with data. In Edexcel tasks, you often compare two groups, so a comparative hypothesis works best: ‘Year 9 boys spend more hours on homework per week than Year 9 girls.’
首先陈述目标。然后写出一个清晰的假设——一个你将要使用数据检验的陈述。在Edexcel的任务中，你经常比较两个组，因此比较性假设效果最好：“九年级男生每周花在家庭作业上的时间多于九年级女生。”
Your introduction should also describe the variables and the sample size you plan to use. For example, ‘I will ask a random sample of 10 boys and 10 girls from Year 9 to record their homework hours in a typical week.’
你的引言还应描述变量和你计划使用的样本量。例如：“我将随机抽取10名九年级男生和10名九年级女生，记录他们在一个典型周内的作业小时数。”
4. Step 2: Data Collection Sheet | 第二步：数据收集表
Always include a blank data collection sheet in your report. It shows planning. An example for homework hours might look like this:
报告中务必包含一份空白的数据收集表。这能展示你的规划。作业小时数的示例可以是这样：
| Student | Gender | Homework Hours |
|---|---|---|
| 1 | M/F | |
| 2 | M/F | |
| … | … | … |
Explain that you will use a tally system if collecting categorical data, or a simple table like above for numerical data.
解释如果收集的是分类数据，你将使用计票系统；如果是数值数据，则使用如上所示的简单表格。
5. Step 3: Presenting Raw Data | 第三步：展示原始数据
After collecting, present your raw data clearly in two separate lists. For our worked example, the homework hours per week are:
收集数据后，清晰地将原始数据分成两个列表展示。在我们的示例中，每周家庭作业小时数为：
Boys: 5, 6, 7, 8, 8, 9, 10, 10, 12, 14
男生：5, 6, 7, 8, 8, 9, 10, 10, 12, 14
Girls: 4, 5, 6, 6, 7, 8, 9, 9, 10, 11
女生：4, 5, 6, 6, 7, 8, 9, 9, 10, 11
This raw data stage shows you have 20 observations. Label them clearly so the reader knows which group is which.
这一原始数据阶段显示你有20个观测值。清晰地标记它们，让读者知道哪个是哪个组。
6. Step 4: Organising Data and Drawing Graphs | 第四步：整理数据与绘制图表
A stem-and-leaf diagram is excellent for comparing two small data sets. It keeps the original values while showing the shape. Here is a back-to-back stem-and-leaf diagram for our data:
茎叶图非常适合比较两个小型数据集。它在展示分布形状的同时保留了原始数值。以下是针对我们数据的背靠背茎叶图：
| Leaf (Boys) | Stem | Leaf (Girls) |
|---|---|---|
| 5, 6, 7, 8, 8 | 0 | 4, 5, 6, 6, 7 |
| 9, 10, 10, 12 | 1 | 8, 9, 9, 10, 11 |
| 14 | 1* |
Key: 0|5 means 5 hours. The diagram shows boys’ data are slightly more spread out, and the highest value (14) is a boy.
图例：0|5表示5小时。该图显示男生的数据稍微更分散，且最大值（14）出现在男生组。
You could also include a comparative bar chart. Use equal intervals and label axes clearly. A frequency table would be the starting point.
你也可以加入比较条形图。使用相等的组距并清晰标注坐标轴。频率表将是绘图的起点。
7. Step 5: Summary Statistics | 第五步：汇总统计量
Calculate the mean, median, mode and range for each group. These statistics summarise the data and allow objective comparison.
计算每组的平均数、中位数、众数和极差。这些统计量概括了数据，并允许进行客观的比较。
For boys:
男生组：
Mean = (5+6+7+8+8+9+10+10+12+14) ÷ 10 = 8.9 hours
Median = (8+9) ÷ 2 = 8.5 hours
Mode = 8 and 10 hours (bimodal)
Range = 14 – 5 = 9 hours
For girls:
女生组：
Mean = (4+5+6+6+7+8+9+9+10+11) ÷ 10 = 7.5 hours
Median = (7+8) ÷ 2 = 7.5 hours
Mode = 6 and 9 hours (bimodal)
Range = 11 – 4 = 7 hours
Always show your workings. This proves to the examiner you understand the calculations, not just the final numbers.
始终展示计算过程。这向考官证明你理解这些计算，而不仅仅是最终数字。
8. Step 6: Analysis and Comparison | 第六步：分析与比较
Use the summary statistics to compare the two groups. Make several points, linking back to your hypothesis. Start with the average.
使用汇总统计量来比较两组数据。提出几个要点，并联系你的假设。先从平均值开始。
The boys’ mean homework time (8.9 hours) is higher than the girls’ mean (7.5 hours). The median for boys (8.5) is also greater than the median for girls (7.5). This suggests that, on average, Year 9 boys do spend more time on homework.
男生的平均作业时间（8.9小时）高于女生的平均值（7.5小时）。男生的中位数（8.5）也大于女生的中位数（7.5）。这表明，平均来看，九年级男生确实花费更多时间在作业上。
Now compare spread. The range for boys (9 hours) is larger than the range for girls (7 hours). This indicates boys’ homework hours are more varied. The stem-and-leaf diagram also shows a cluster for girls between 6 and 9 hours, while boys’ hours are stretched up to 14 hours.
现在比较离散程度。男生的极差（9小时）大于女生的极差（7小时）。这表明男生的作业时间更为多变。茎叶图也显示女生的数据集中在6至9小时，而男生的数据延伸到了14小时。
Write your analysis in full sentences, not bullet points. Use phrases like ‘This indicates…’ or ‘The data shows…’.
用完整的句子撰写分析，不要使用项目符号。使用诸如“这表明……”或“数据显示……”之类的表述。
9. Step 7: Conclusion and Evaluation | 第七步：结论与评估
Your conclusion must directly answer the hypothesis. For this example: ‘The evidence supports the hypothesis that Year 9 boys spend more hours on homework per week than Year 9 girls. The boys’ mean (8.9 h) and median (8.5 h) both exceeded those of the girls.’
你的结论必须直接回答假设。就本示例而言：“证据支持假设，即九年级男生每周花在作业上的时间多于女生。男生的平均数（8.9小时）和中位数（8.5小时）均超过了女生。”
Then evaluate the process. Mention any problems or improvements. For instance: ‘The sample size was small (only 10 in each group), so the results may not represent the whole year group. Some students may not have recorded time accurately. To improve, I would take a larger, random sample and ask students to keep a daily log.’
然后评估过程。提及任何问题或改进之处。例如：“样本量较小（每组仅10人），因此结果可能无法代表整个年级。一些学生可能没有准确记录时间。为了改进，我会抽取更大的随机样本，并要求学生记录每日日志。”
10. Worked Example: A Complete Report | 范文：完整统计报告
Below is a complete, model statistical report based on the framework and data above. It shows how to write a polished final piece.
以下是根据上述框架和数据写成的一篇完整的示范统计报告。它展示了如何完成一篇精炼的终稿。
Investigating Year 9 Homework Hours by Gender
调查九年级不同性别学生的作业时间
The aim of this statistical investigation was to compare the amount of time Year 9 boys and girls spend on homework per week. It was hypothesised that Year 9 boys spend more hours on homework than Year 9 girls.
本统计调查的目的在于比较九年级男生和女生每周花在家庭作业上的时间。假设为：九年级男生比女生花更多时间做家庭作业。
A random sample of 10 boys and 10 girls from Year 9 was selected. Each student recorded the total number of hours they spent on homework during a typical school week. The raw data are presented below.
从九年级随机抽取了10名男生和10名女生。每位学生记录了他们在典型上学周内用于作业的总小时数。原始数据展示如下。
Boys: 5, 6, 7, 8, 8, 9, 10, 10, 12, 14
男生：5, 6, 7, 8, 8, 9, 10, 10, 12, 14
Girls: 4, 5, 6, 6, 7, 8, 9, 9, 10, 11
女生：4, 5, 6, 6, 7, 8, 9, 9, 10, 11
To organise the data, a back-to-back stem-and-leaf diagram was drawn. It reveals that the distribution for girls is more clustered, whereas boys’ data are more spread out and include the highest value of 14 hours.
为了整理数据，绘制了背靠背茎叶图。该图显示女生的分布更集中，而男生的数据更分散，且包含14小时的最大值。
Summary statistics were calculated. For boys, the mean was 8.9 hours, median 8.5 hours, modes 8 and 10 hours, and range 9 hours. For girls, the mean was 7.5 hours, median 7.5 hours, modes 6 and 9 hours, and range 7 hours.
计算了汇总统计量。男生组：平均数为8.9小时，中位数8.5小时，众数8和10小时，极差9小时。女生组：平均数为7.5小时，中位数7.5小时，众数6和9小时，极差7小时。
Comparing the averages, the boys’ mean (8.9 h) and median (8.5 h) are both higher than the girls’ (7.5 h). This indicates that, typically, the boys in the sample spent more time on homework. The range for boys (9 h) is greater than for girls (7 h), suggesting boys’ homework habits are more variable. The maximum value of 14 hours from a boy further supports this wider spread.
比较平均值，男生的平均数（8.9小时）和中位数（8.5小时）均高于女生（7.5小时）。这表明样本中的男生通常花更多时间在作业上。男生的极差（9小时）大于女生（7小时），说明男生的作业习惯更不稳定。男生组中14小时的最大值进一步支持了这一较大的差异。
Overall, the evidence supports the hypothesis that Year 9 boys spend more hours on homework per week than girls. However, the sample size was small, so the findings may not be reliable for the whole year group. Some students may have estimated their hours inaccurately. To improve the investigation, a larger random sample should be used and a daily homework diary could be kept for greater accuracy.
总体而言，证据支持假设——九年级男生每周在作业上花费的时间多于女生。然而，样本量较小，因此这一发现对整个年级可能并不可靠。部分学生可能估计的小时数不准确。为了改进调查，应使用更大的随机样本，并可要求学生记每日作业日记以提高准确性。
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