📚 Year 7 WJEC Statistics: Cross-Curricular Mixed Practice | 七年级WJEC统计：跨学科综合题型训练
Statistics is not just a subject on its own—it is a powerful tool used across science, geography, physical education and many other areas. In Year 7 WJEC Statistics, you will be tested on how well you can apply your skills in real-life, cross-curricular situations. This mixed practice guide walks you through key question types that combine statistical knowledge with other subjects, helping you build confidence for your assessments.
统计不仅是一门独立的学科——它还是运用于科学、地理、体育等众多领域的有力工具。在七年级 WJEC 统计课程中，你将通过跨学科的真实情境来检验自己的应用能力。这份综合训练指南将带你梳理典型的跨学科题型，把统计知识和其他学科内容结合起来，帮助你自信应对考试。
1. Introduction to Cross-Curricular Statistics | 跨学科统计简介
Cross-curricular questions ask you to take a statistical method, such as drawing a bar chart or working out the mean, and use it on data from a different subject. For example, you might calculate the average rainfall in geography or analyse reaction times in PE. This type of question tests both your statistical skills and your ability to understand the context. The key is to read the scenario carefully, identify what data is given and decide which statistical tools you need.
跨学科题型要求你把统计方法（如绘制条形图或计算平均数）应用到其他学科的数据上。例如，你可能需要在地理中计算平均降雨量，或在体育中分析反应时间。这种题目既考察你的统计技能，也考察你对情境的理解。关键是仔细阅读题目背景，明确提供了哪些数据，并决定需要使用哪些统计工具。
2. Collecting Data in Science: Bean Plant Growth | 科学中的数据收集：豆苗生长
In a biology experiment, a Year 7 class measured the height of bean plants over three weeks. Each pupil recorded the height of their plant every Monday. The raw data for five plants in centimetres on week 3 was: 12, 15, 11, 18, 14. When collecting data, it is important to decide on units, measurement tools and how often to take readings.
在一次生物实验中，七年级的学生连续三周测量了豆苗的高度。每位学生每周一记录自己植物的高度。第三周时，五株植物的原始数据为（单位：厘米）：12, 15, 11, 18, 14。收集数据时，需要明确单位、测量工具以及读数频率。
Before organising the data, check for any outliers. An outlier might be a value that does not fit the pattern—perhaps due to a measurement mistake or a plant that received extra water. In this small data set, 18 cm could be investigated further. Once cleaned, the data can be put into a frequency table.
在整理数据之前，应检查是否有异常值。异常值可能是不符合整体规律的数值，原因可能是测量错误或者植物获得了额外水分。在这个小数据集中，18 厘米值得进一步核查。清理后，可将数据列入频数表。
| Height (cm) | Tally | Frequency |
|---|---|---|
| 11-13 | || | 2 |
| 14-16 | || | 2 |
| 17-19 | | | 1 |
From this grouped frequency table, you can calculate the range (18 – 11 = 7 cm) and find the mode (the group 11-13 and 14-16 both appear twice, so bimodal). Always label your tables and state the units when presenting science data.
根据这个分组频数表，你可以计算极差（18 – 11 = 7 厘米）并找出众数组（11-13 和 14-16 两组各出现两次，属于双众数）。展示科学数据时，务必标明表格标题和单位。
3. Tally Charts and Frequency in Geography: Types of Cloud | 地理中的计数与频率：云的类型
While studying weather, pupils observed the sky every break time for ten school days and recorded the main cloud type. The results were: cumulus, stratus, cumulus, cirrus, stratus, cumulus, cumulus, stratus, stratus, cumulus. A tally chart makes it easy to count each category.
在学习天气时，学生连续十个上学日的午休时间观察天空，并记录主要云型。结果为：积云、层云、积云、卷云、层云、积云、积云、层云、层云、积云。使用计数表可以方便地统计每种云的数量。
| Cloud type | Tally | Frequency |
|---|---|---|
| Cumulus | ~~||||~~ | 5 |
| Stratus | |||| | 4 |
| Cirrus | | | 1 |
You can use the frequency to construct a bar chart, where each cloud type sits on the horizontal axis and frequency on the vertical axis. Remember that the gaps between bars should be equal and the vertical scale must start at zero. For a geography write-up, you might state that cumulus was the most common cloud type observed, which suggests fair weather during the observation period.
你可以利用频数绘制条形图，横轴为云的类型，纵轴为频数。注意条形之间的间隔应相等，纵轴刻度需从零开始。在地理分析报告中，你可能会指出积云是最常见的云型，说明观测期间天气多为晴朗。
4. Bar Charts for Comparing Subjects: Favourite Lunches Across Year Groups | 条形图：不同年级最喜爱午餐的比较
The canteen surveyed Year 7 and Year 8 pupils about their favourite lunch option. Out of 60 Year 7 pupils, 25 chose pasta, 20 chose wraps and 15 chose salad. Out of 60 Year 8 pupils, 30 chose wraps, 18 chose pasta and 12 chose salad. A dual bar chart allows a clear side-by-side comparison.
食堂对七年级和八年级学生进行了最喜爱午餐选项的调查。60 名七年级学生中，25 人选意面，20 人选卷饼，15 人选沙拉。60 名八年级学生中，30 人选卷饼，18 人选意面，12 人选沙拉。使用复式条形图可以清晰地并列比较。
When drawing a dual bar chart, use a key to show which bar represents Year 7 and which represents Year 8. Ensure the bars for each category are touching or very close, with a gap between categories. Check that the frequency axis is numbered evenly. After plotting, you can interpret that wraps are more popular in Year 8, whereas pasta was the favourite for Year 7. This kind of data handling helps the school make decisions on menus.
绘制复式条形图时，要用图例标明哪个条形代表七年级、哪个代表八年级。确保同一类别的条形紧靠在一起，不同类别之间留出间隔。检查频数轴是否均匀标注。绘制完成后，可以解读出卷饼在八年级更受欢迎，而意面是七年级的最爱。这种数据处理能帮助学校对菜单做出决策。
5. Line Graphs for Temperature Trends: A Week in March | 折线图：三月一周的温度趋势
During a geography project, a pupil recorded the midday temperature each day for a week: Mon 8°C, Tue 9°C, Wed 11°C, Thu 10°C, Fri 12°C, Sat 14°C, Sun 13°C. To show how temperature changes over time, a line graph is the best choice. Time (days) goes on the horizontal axis and temperature on the vertical axis.
在一次地理项目中，一名学生记录了一周每天正午的气温：周一 8°C，周二 9°C，周三 11°C，周四 10°C，周五 12°C，周六 14°C，周日 13°C。要展示温度随时间的变化，折线图是最佳选择。时间（天）放在横轴，温度放在纵轴。
Plot each point accurately, then join them with straight lines. Do not extend the line beyond the first and last points. To read the graph, describe the trend: ‘The temperature generally increased during the week, with a slight dip on Thursday.’ Always include a title and label both axes with units.
准确描出每个点，然后用直线连接。不要把线条延伸到第一个点和最后一个点之外。解读图表时，描述趋势：“本周气温总体上升，周四略有下降。”务必包含标题，并在两轴上标注单位。
6. Pie Charts and Percentages: Class Survey on Pet Ownership | 饼图和百分比：班级宠物饲养调查
A class of 30 students was asked: ‘Do you have a pet?’ The results: 12 have a dog, 6 have a cat, 3 have a fish, 2 have a bird and 7 have no pet. To draw a pie chart, first find the angle for each sector. Since the total is 30, the multiplier is 360° ÷ 30 = 12° per student. Therefore, dog: 12 × 12° = 144°, cat: 6 × 12° = 72°, fish: 3 × 12° = 36°, bird: 2 × 12° = 24°, no pet: 7 × 12° = 84°.
一个 30 名学生的班级被问及“你养宠物吗？”结果：12 人养狗，6 人养猫，3 人养鱼，2 人养鸟，7 人无宠物。要绘制饼图，首先计算每个扇形的角度。总数为 30，乘数为 360° ÷ 30 = 12°/人。因此，狗：12 × 12° = 144°，猫：6 × 12° = 72°，鱼：3 × 12° = 36°，鸟：2 × 12° = 24°，无宠物：7 × 12° = 84°。
Using a protractor, measure each angle from a fixed starting point. Label each sector or provide a key. To check, all angles should sum to 360°. You can also express each category as a fraction or percentage, e.g. 12/30 = 40% dog ownership. Linking percentages to pie charts is a key cross-curricular skill with mathematics.
使用量角器从固定起点量取每个角度。为每个扇形标注标签或提供图例。检查时，所有角度之和应为 360°。你也可以将每个类别表示为分数或百分数，例如 12/30 = 40% 养狗。将百分数与饼图联系起来是与数学跨学科的关键技能。
7. Mean, Median and Mode in English: Book Pages Read | 英文中的数据：阅读的书籍页数
An English teacher recorded the number of pages read by eight students over the weekend: 20, 35, 20, 50, 20, 45, 60, 30. To analyse this data, you can find the mean, median and mode. The mode is the most frequent value, which is 20 pages. The median is found by ordering the data (20, 20, 20, 30, 35, 45, 50, 60) and finding the middle. With an even number of values, the median is halfway between the 4th and 5th values: (30 + 35) ÷ 2 = 32.5 pages.
一位英语老师记录了八名学生周末阅读的页数：20, 35, 20, 50, 20, 45, 60, 30。分析这组数据，可以求出平均数、中位数和众数。众数是出现最频繁的数值，为 20 页。将数据排序（20, 20, 20, 30, 35, 45, 50, 60），中位数为中间值。数据个数为偶数，中位数是第4和第5个数值的中间值：(30 + 35) ÷ 2 = 32.5 页。
The mean is calculated by adding all values (20+35+20+50+20+45+60+30 = 280) and dividing by the number of students (8): 280 ÷ 8 = 35 pages. Each average tells a different story: the mode shows the most common reading habit, the median is not affected by the 60-page outlier, and the mean gives an overall performance. Cross-curricular questions may ask you to choose the best average for a given context.
平均数的计算：将所有数值相加（20+35+20+50+20+45+60+30 = 280），除以学生人数（8）：280 ÷ 8 = 35 页。每个平均值反映了不同的信息：众数揭示最普遍的阅读量，中位数不受 60 页异常值的影响，而平均数则显示整体表现。跨学科题目可能会要求你依据情境选择最合适的平均数。
8. Range in Physical Education: Reaction Times | 体育中的极差：反应时间
In PE, pupils measured how quickly they could catch a falling ruler. The reaction times in seconds for ten students were: 0.21, 0.19, 0.24, 0.28, 0.22, 0.20, 0.30, 0.26, 0.18, 0.25. To understand consistency, you can calculate the range = maximum – minimum = 0.30 – 0.18 = 0.12 seconds.
在体育课上，学生们测量了自己接住下落尺子的速度。十名学生的反应时间（秒）为：0.21, 0.19, 0.24, 0.28, 0.22, 0.20, 0.30, 0.26, 0.18, 0.25。为分析稳定性，计算极差 = 最大值 – 最小值 = 0.30 – 0.18 = 0.12 秒。
A smaller range would indicate that the group had similar reaction speeds, while a larger range shows more variability. The pupil with 0.18 s has the fastest reactions. Cross-curricular tasks might ask: ‘Explain which measure, the mean or the range, is more useful for a PE teacher comparing two classes.’ The range highlights the spread of ability, while the mean gives the average speed. Both are valuable.
极差越小，说明小组反应速度越接近；极差越大，则差异越大。反应时间为 0.18 秒的学生最快。跨学科任务可能会问：“请解释对于体育老师比较两个班级，平均数和极差哪个更有用。”极差突出能力的离散程度，而平均数给出平均速度。两者都很有价值。
9. Interpreting Data and Drawing Conclusions | 数据解读与得出结论
Being able to interpret a graph or table is just as important as creating one. When looking at a data presentation, always read the title and axis labels first. Then identify the highest and lowest values, any patterns or trends, and anything unexpected. For example, a line graph showing plant growth might flatten if the plant stops receiving water. Your conclusion should be supported by data: ‘Plant B grew 5 cm between week 2 and week 3, while Plant A only grew 1 cm.’
解读图表与绘制图表同样重要。观察数据展示时，先阅读标题和坐标轴标签，然后找到最高值和最低值、模式或趋势以及任何异常之处。例如，植物停止浇水后，生长折线图可能会趋于平缓。你的结论应有数据支持：“植物 B 在第二周至第三周生长了 5 厘米，而植物 A 仅生长了 1 厘米。”
When writing a conclusion, avoid stating opinions without evidence. Use comparative language such as ‘twice as many’, ‘half the number’, or ‘a 20% increase’. Also remember to link back to the original context—whether it is about weather, sports performance or survey results. This shows you truly understand how statistics applies to other subjects.
撰写结论时，避免没有证据的主观陈述。使用比较性语言，如“两倍之多”“数量的一半”或“增长 20%”。同时，务必要联系回原始情境——无论是天气、运动表现还是调查结果。这体现了你对统计如何应用于其他学科的真正理解。
10. Mixed Practice Challenge | 综合训练挑战
Now try this mixed question combining geography and mathematics: A field trip recorded the number of different tree species in two woodland areas. Area X: oak 8, beech 6, birch 4. Area Y: oak 5, beech 9, birch 2. (a) Draw a dual bar chart to show the data. (b) Calculate the mean number of trees per species for Area X. (c) State which area has the greater range of counts and explain what this might suggest about biodiversity.
现在试做这道结合地理和数学的综合题：某次实地考察记录了两片林地的不同树种数量。X 区：橡树 8、山毛榉 6、桦树 4。Y 区：橡树 5、山毛榉 9、桦树 2。（a）绘制复式条形图展示数据。（b）计算 X 区每树种的平均数量。（c）指出哪片区的数量极差更大，并说明这可能对生物多样性意味着什么。
Solution hints: For (a), use a labelled dual bar chart with a key. (b) Mean for Area X = (8+6+4) ÷ 3 = 18 ÷ 3 = 6 trees per species. (c) Area X range = 8 – 4 = 4, Area Y range = 9 – 2 = 7. Area Y has a wider range, which might indicate a less even distribution—one species dominates, potentially affecting biodiversity. Always provide clear reasoning.
解题提示：（a）使用带有图例的复式条形图。（b）X 区平均数 = (8+6+4) ÷ 3 = 18 ÷ 3 = 每树种 6 棵。（c）X 区极差 = 8 – 4 = 4，Y 区极差 = 9 – 2 = 7。Y 区极差更大，可能表明分布更不均匀——某一种类占绝对优势，这可能影响生物多样性。务必提供清晰的推理过程。
Working through problems like this strengthens your ability to move between subjects without getting confused by unfamiliar contexts. Remember, the statistical tools remain the same; only the scenario changes. Keep practising with data from science experiments, sports measurements and everyday surveys.
通过此类练习，你能加强在不同学科间自如切换的能力，而不会被陌生情境迷惑。记住，统计工具本身是不变的，变化的只是场景。坚持用科学实验、体育测量和日常调查的数据进行练习。
Published by TutorHao | Statistics Revision Series | aleveler.com
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