📚 Year 8 Edexcel Statistics: Cross-Curricular Integrated Practice | Year 8 Edexcel 统计：跨学科综合题型训练
Statistics is not an isolated subject – it is a powerful tool used across science, geography, history, sports and social studies. This article presents integrated problem-solving tasks that blend statistical skills with real data from other subjects you study in Year 8. You will practise calculating averages, constructing graphs and interpreting findings while making meaningful connections beyond the maths classroom.
统计学并不是一门孤立的学科——它是一项在科学、地理、历史、体育和社会学科中广泛使用的强大工具。本文呈现跨学科的综合题型训练，将统计技能与你 Year 8 所学的其他学科的真实数据结合起来。你将练习计算平均值、绘制图表、解读结论，并在数学课堂之外建立有意义的联系。
1. Science Experiment Data Analysis | 科学实验数据分析
A group of students measured the heights of cress seedlings after 10 days. The data (in mm) are: 18, 22, 19, 24, 21, 20, 23, 22.
一组学生测量了10天后水芹苗的高度。数据（毫米）为：18, 22, 19, 24, 21, 20, 23, 22。
Order the values: 18, 19, 20, 21, 22, 22, 23, 24.
将数值排序：18, 19, 20, 21, 22, 22, 23, 24。
Mean = (18+19+20+21+22+22+23+24) ÷ 8 = 169 ÷ 8 = 21.125 mm. Round to 21.1 mm.
平均数 = (18+19+20+21+22+22+23+24) ÷ 8 = 169 ÷ 8 = 21.125 毫米，四舍五入为 21.1 毫米。
Median: with 8 data points, the median is the mean of the 4th and 5th values. (21+22) ÷ 2 = 21.5 mm.
中位数：有8个数据点，中位数为第4和第5个值的平均数。(21+22) ÷ 2 = 21.5 毫米。
Mode: 22 mm appears most often (twice).
众数：22 毫米出现最多（两次）。
Range = 24 – 18 = 6 mm. This tells you how spread out the seedling heights are, helping the scientist see consistency in growth.
极差 = 24 – 18 = 6 毫米。这告诉你幼苗高度的离散程度，帮助科学家了解生长的一致性。
You could display these results on a dot plot, with each dot representing one seedling above the number line.
你可以将这些结果显示在一个点图上，每个点代表数轴上方的一棵幼苗。
2. Geographical Population Bar Charts | 地理人口柱状图
The table below shows the estimated population of four European countries in 2024 (in millions).
下表显示了2024年四个欧洲国家的人口估计值（百万）。
| Country | UK | France | Germany | Spain |
| Population (m) | 67 | 65 | 83 | 47 |
Draw a bar chart with countries on the horizontal axis and population on the vertical axis. Use a scale of 1 cm for 10 million.
绘制柱状图，横轴为国家，纵轴为人口。使用比例尺 1 厘米代表 1000 万。
Which country has the largest population? Germany at 83 million. Calculate the range: 83 – 47 = 36 million.
哪个国家人口最多？德国，8300 万。计算极差：83 – 47 = 36 百万。
Geographically, Germany’s larger population may be linked to its strong economy and central location in Europe, encouraging migration and urban growth.
从地理上看，德国人口较多可能与其强大的经济和欧洲中心位置有关，这促进了迁徙和城市发展。
This task links statistics with human geography and helps you understand how demographers use bar charts to compare populations.
此任务将统计与人文地理联系起来，帮助你理解人口统计学家如何使用柱状图比较人口。
3. Medieval Village Pie Chart Construction | 中世纪村庄饼图制作
In a history lesson on medieval society, you learn about the occupations in a typical manor. Suppose 50% were peasants, 25% were craftsmen, 15% were merchants and 10% were clergy.
在一堂关于中世纪社会的历史课上，你了解了一个典型庄园中的职业。假设50%是农民，25%是工匠，15%是商人，10%是教士。
To draw a pie chart, calculate the angle for each sector: Peasants: 0.50 × 360° = 180°; Craftsmen: 0.25 × 360° = 90°; Merchants: 0.15 × 360° = 54°; Clergy: 0.10 × 360° = 36°.
要绘制饼图，计算每个扇区的角度：农民：0.50 × 360° = 180°；工匠：0.25 × 360° = 90°；商人：0.15 × 360° = 54°；教士：0.10 × 360° = 36°。
If the manor had 240 people, then peasants: 240 × 0.5 = 120; craftsmen: 60; merchants: 36; clergy: 24.
如果庄园有 240 人，那么农民：240 × 0.5 = 120；工匠：60；商人：36；教士：24。
This exercise combines statistics with history, showing how pie charts illustrate the proportion of different social groups in the past.
这个练习将统计与历史结合，展示了饼图如何说明过去不同社会群体的比例。
4. Stem-and-Leaf Plot for Athletic Times | 运动成绩的茎叶图
During PE, students ran 50 metres. The times in seconds were: 7.8, 8.2, 7.5, 8.0, 7.9, 8.1, 7.7, 8.3, 7.6.
在体育课上，学生们跑了 50 米。成绩（秒）为：7.8, 8.2, 7.5, 8.0, 7.9, 8.1, 7.7, 8.3, 7.6。
Construct a stem-and-leaf diagram. Use the whole second as the stem and the tenth as the leaf.
制作茎叶图。使用整数秒作为茎，十分位作为叶。
Ordered data: 7.5, 7.6, 7.7, 7.8, 7.9, 8.0, 8.1, 8.2, 8.3.
排序数据：7.5, 7.6, 7.7, 7.8, 7.9, 8.0, 8.1, 8.2, 8.3。
Stem 7: leaves 5, 6, 7, 8, 9; Stem 8: leaves 0, 1, 2, 3. Key: 7|5 means 7.5 s.
茎 7：叶 5, 6, 7, 8, 9；茎 8：叶 0, 1, 2, 3。图例：7|5 表示 7.5 秒。
The median is the 5th value: 7.9 seconds. The stem-and-leaf plot keeps the data intact, helping the PE teacher see the distribution of sprint times.
中位数为第 5 个数值：7.9 秒。茎叶图保留了原始数据，帮助体育老师了解短跑成绩的分布。
5. Environmental Recycling Grouped Data | 环保回收的分组数据
A citizenship project recorded the number of plastic bottles recycled by two classes in one week. The table shows the frequency distribution.
一项公民教育项目记录了两个班级一周内回收的塑料瓶数量。下表显示了频率分布。
| Bottles | 0–9 | 10–19 | 20–29 |
|---|---|---|---|
| Class 7A | 5 | 11 | 8 |
| Class 7B | 6 | 9 | 13 |
Estimate the mean for each class using midpoints: 4.5, 14.5, 24.5.
使用组中值估计每个班的平均数：4.5, 14.5, 24.5。
Class 7A total frequency = 5+11+8 = 24. Sum ≈ 5×4.5 + 11×14.5 + 8×24.5 = 22.5 + 159.5 + 196 = 378. Mean ≈ 378 ÷ 24 = 15.75 bottles.
7A 班总频数 = 5+11+8 = 24。总和 ≈ 5×4.5 + 11×14.5 + 8×24.5 = 22.5 + 159.5 + 196 = 378。平均数 ≈ 378 ÷ 24 = 15.75 个瓶子。
Class 7B total = 6+9+13 = 28. Sum ≈ 6×4.5 + 9×14.5 + 13×24.5 = 27 + 130.5 + 318.5 = 476. Mean ≈ 476 ÷ 28 = 17 bottles.
7B 班总数 = 6+9+13 = 28。总和 ≈ 6×4.5 + 9×14.5 + 13×24.5 = 27 + 130.5 + 318.5 = 476。平均数 ≈ 476 ÷ 28 = 17 个瓶子。
Class 7B recycled slightly more on average. In geography and science, such data support discussions about waste management and sustainability.
7B 班平均回收略多。在地理和科学中，这类数据支持关于废物管理和可持续性的讨论。
6. Comparing Pocket Money with Dual Dot Plots | 比较零花钱的双点图
An economics survey asked Year 8 students about weekly pocket money (£). Boys: 5, 10, 7, 8, 12, 6, 9. Girls: 8, 11, 9, 10, 13, 7, 14.
一项经济学调查询问了 Year 8 学生每周的零花钱（英镑）。男生：5, 10, 7, 8, 12, 6, 9。女生：8, 11, 9, 10, 13, 7, 14。
Calculate the mean for boys: (5+10+7+8+12+6+9) ÷ 7 = 57 ÷ 7 ≈ £8.14. For girls: (8+11+9+10+13+7+14) ÷ 7 = 72 ÷ 7 ≈ £10.29.
计算男生平均数：(5+10+7+8+12+6+9) ÷ 7 = 57 ÷ 7 ≈ 8.14 英镑。女生：(8+11+9+10+13+7+14) ÷ 7 = 72 ÷ 7 ≈ 10.29 英镑。
Find the median: boys’ ordered data 5,6,7,8,9,10,12 → median = 8. Girls’ ordered 7,8,9,10,11,13,14 → median = 10.
求中位数：男生排序 5,6,7,8,9,10,12 → 中位数 = 8。女生排序 7,8,9,10,11,13,14 → 中位数 = 10。
Make a dual dot plot using the same axis. This visual clearly shows girls’ pocket money tends to be higher, prompting social and economic reasoning.
使用同一坐标轴制作双点图。这个视觉工具清楚地显示女生的零花钱往往更高，引发社会和经济层面的思考。
7. Scatter Graph: Exercise and Heart Rate | 散点图：运动与心率
A biology investigation recorded daily exercise time (minutes) and resting heart rate (bpm) for 10 students.
一项生物学调查记录了 10 名学生的每日运动时间（分钟）和静息心率（次/分）。
| Exercise (min) | 30 | 45 | 60 | 20 | 50 | 40 | 70 | 25 | 55 | 35 |
|---|---|---|---|---|---|---|---|---|---|---|
| Heart rate (bpm) | 80 | 72 | 68 | 85 | 70 | 75 | 65 | 82 | 70 | 78 |
Plot the points on a scatter graph with exercise time on the x-axis and heart rate on the y-axis.
在散点图上描点，x 轴为运动时间，y 轴为心率。
Describe the correlation: as exercise time increases, resting heart rate tends to decrease – a negative correlation.
描述相关性：随着运动时间增加，静息心率趋于下降——负相关。
This relationship is studied in physical education and biology; fitter individuals often have lower resting heart rates.
这种关系在体育和生物学中都有研究；更健壮的人通常静息心率更低。
You might draw a line of best fit to predict heart rate for a student exercising 80 minutes: roughly 62 bpm.
你可以画一条最佳拟合线来预测运动 80 分钟的学生的静息心率：大约 62 次/分。
8. Music Preferences Survey and Pie Charts | 音乐偏好调查与饼图
A school survey asked 200 students about their favourite music genre. The results: Pop 80, Rock 50, Hip-Hop 40, Classical 20, Other 10.
一项学校调查询问了 200 名学生最喜欢的音乐流派。结果：流行 80，摇滚 50，嘻哈 40，古典 20，其他 10。
Calculate the percentage and angle for each sector: Pop:
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