📚 Year 7 OCR Statistics: Winter Holiday Intensive Revision Plan | Year 7 OCR统计：寒假强化复习计划
The winter holiday is a perfect time to consolidate your Year 7 Statistics knowledge without the daily pressure of school. This 10-day intensive revision plan is designed specifically for the OCR curriculum, covering data handling, graphs, averages, and probability through bite-sized daily topics. Each day includes key concepts, practical examples, and quick exercises to build lasting confidence.
寒假是巩固Year 7统计知识的最佳时机，没有日常课业压力。这个10天强化复习计划专门针对OCR课程设计，涵盖数据处理、图表、平均值和概率，每日一个小主题，包含关键概念、实例和快速练习，助你建立持久的信心。
1. Day 1: Understanding Data Types | 第1天：了解数据类型
Today’s goal: Recognise qualitative and quantitative data, and distinguish between discrete and continuous data.
今天的目标：识别定性数据和定量数据，区分离散数据和连续数据。
Qualitative data describes characteristics or categories that cannot be measured with numbers, such as hair colour, favourite sport, or type of pet. These are often recorded as words, not numbers.
定性数据描述不能以数字测量的特征或类别，例如头发颜色、最喜欢的运动或宠物类型。它们通常以文字记录，而非数字。
Quantitative data is numerical. It can be measured or counted. Examples include height, number of siblings, test scores, or temperature.
定量数据是数值型的，可以测量或计数。例如身高、兄弟姐妹数量、测试分数或温度。
Discrete data can only take certain values, often whole numbers. For example, the number of students in a class cannot be 28.5. Continuous data can take any value within a range, such as height (you can be 152.4 cm) or time taken to run 100 metres.
离散数据只能取特定值，通常是整数。例如班级学生人数不可能是28.5。连续数据可以取区间内的任何值，如身高（可以是152.4厘米）或跑100米所用时间。
Quick task: List five qualitative and five quantitative data examples from your daily life. For each quantitative example, decide if it is discrete or continuous.
快速任务：从日常生活中列出五个定性数据和五个定量数据例子。分别判断每个定量数据是离散的还是连续的。
Key takeaway: Knowing the data type helps you choose the right graph and analysis method.
记住：了解数据类型有助于你选择正确的图表和分析方法。
2. Day 2: Collecting Data | 第2天：收集数据
Goal: Understand how data is collected through surveys, questionnaires, and observations, and learn about bias.
目标：了解如何通过调查、问卷和观察收集数据，并认识偏差。
Data can be collected by asking questions (questionnaire), observing and recording events (observation), or conducting experiments. In Year 7, you often design simple surveys to gather opinions or facts from a group of people.
数据可以通过提问（问卷）、观察并记录（观察）或进行实验来收集。在Year 7，你经常设计简单的调查来收集团体中的观点或事实。
A biased question leads people to give a particular answer, which makes the data unreliable. For example, “Don’t you agree that maths is the easiest subject?” is biased because it suggests the answer. A fair question would be: “How easy do you find maths? (Very easy / Easy / Difficult / Very difficult)”.
有偏差的问题会引导人们给出特定答案，使数据不可靠。比如，“难道你不认为数学是最容易的学科吗？”就有偏差，因为它暗示了答案。一个公平的问题可以是：“你觉得数学容易吗？（非常容易 / 容易 / 困难 / 非常困难）”。
Try it: Write three survey questions about weekend activities. Check each question for bias and make sure you provide clear response options, such as multiple choice or tick boxes.
试一试：编写三个关于周末活动的调查问题。检查每个问题是否有偏差，并确保提供清晰的回答选项，如选择题或复选框。
Fair data collection is the foundation of trustworthy statistics.
公平的数据收集是值得信赖的统计基础。
3. Day 3: Frequency Tables and Tally Charts | 第3天：频数表和计数表
Goal: Organise raw data using tally marks and create frequency tables to make the information easier to read.
目标：使用计数符号整理原始数据并创建频数表，让信息更容易阅读。
A tally chart uses strokes to count items. Usually we group five as four vertical lines and a diagonal strike-through ( ). The frequency tells us how many times each category appears.
计数表使用竖线来统计。通常五个一组记作四条竖线加一条斜线贯穿（如〓）。频数告诉我们每个类别出现了多少次。
Example: 20 students named their favourite fruit: Apple, Banana, Apple, Orange, Banana, Apple, Grape, Banana, Grape, Apple, Orange, Apple, Banana, Grape, Banana, Apple, Orange, Apple, Grape, Banana.
例子：20名学生说出了他们最喜欢的水果：苹果、香蕉、苹果、橙子、香蕉、苹果、葡萄、香蕉、葡萄、苹果、橙子、苹果、香蕉、葡萄、香蕉、苹果、橙子、苹果、葡萄、香蕉。
| Fruit | Tally | Frequency |
|---|---|---|
| Apple | ⁄⁄⁄⁄ || | 7 |
| Banana | ⁄⁄⁄⁄ | | 6 |
| Orange | ||| | 3 |
| Grape | |||| | 4 |
This frequency table shows that Apple is the most popular fruit with 7 votes, and Orange the least popular among these choices.
该频数表显示，苹果最受欢迎，有7票，而橙子在这些选项中最不受欢迎。
Quick task: Ask five family members their favourite colour and record your results in a tally and frequency table.
快速任务：询问五位家人最喜欢的颜色，并用计数和频数表记录结果。
Remember: Frequency is simply a count of how often something occurs.
记住：频数就是某事物发生的次数计数。
4. Day 4: Bar Charts and Dual Bar Charts | 第4天：条形图和双重条形图
Goal: Learn to draw and interpret bar charts and dual bar charts for discrete data.
目标：学习为离散数据绘制并解释条形图和双重条形图。
A bar chart has categories on the x-axis and frequency on the y-axis. The bars are the same width and have gaps between them because the categories are separate.
条形图的x轴为类别，y轴为频数。条形宽度相等，且条形之间有空隙，因为类别彼此独立。
When we want to compare two sets of data for the same categories, we use a dual bar chart. For instance, we could show boys’ and girls’ favourite fruits side by side. A key or legend tells us which colour represents each group.
当我们想要比较相同类别的两组数据时，使用双重条形图。例如，我们可以并排显示男生和女生最喜欢的水果。图例告诉我们每种颜色代表哪一组。
Try it: Using yesterday’s fruit frequency table, try drawing a bar chart on graph paper. Label the axes clearly and give your chart a title. Then imagine the data is split into two groups (e.g. Year 7 and Year 8) and sketch a dual bar chart.
试一试：用昨天水果频数表，在方格纸上画出条形图。清楚标注坐标轴并给出图表标题。然后设想数据分成两组（如Year 7和Year 8），画一个双重条形图。
Always use a ruler and include a title, labelled axes and a consistent scale.
始终使用直尺，包含标题、标注坐标轴和一致的刻度。
5. Day 5: Pie Charts and Proportions | 第5天：饼图与比例
Goal: Construct pie charts by calculating angles from frequency data.
目标：通过频数数据计算角度来构造饼图。
A pie chart represents data as slices of a circle. The size of each slice shows the proportion of the total. To find the angle for a category, use the formula:
饼图用圆形切片表示数据。每片的大小显示其占总体的比例。计算某个类别角度的公式为：
angle = (category frequency ÷ total frequency) × 360°
Example: From Day 3’s fruit data, total = 20. For Apple (frequency 7), angle = (7 ÷ 20) × 360° = 0.35 × 360° = 126°. For Banana (6), angle = (6 ÷ 20) × 360° = 108°. For Grape (4), 72°. For Orange (3), 54°.
示例：根据第3天的水果数据，总和为20。苹果（频数7）的角度 = (7 ÷ 20) × 360° = 0.35 × 360° = 126°。香蕉（6）为108°。葡萄（4）为72°。橙子（3）为54°。
You should use a protractor to measure the angles and draw the slices. Label each slice or use a key. Check that the angles add up to 360°.
应用量角器测量角度并画出切片。给每个切片添加标签或使用图例。检查所有角度总和是否为360°。
Quick task: Record the eye colours of 10 people and make a frequency table, then calculate the angles and draw a pie chart.
快速任务：记录10个人的眼睛颜色，制作频数表，然后计算角度并绘制饼图。
6. Day 6: Line Graphs and Time Series | 第6天：折线图与时间序列
Goal: Plot and interpret line graphs, especially for data that changes over time.
目标：绘制并解释折线图，特别是随时间变化的数据。
A line graph joins points with straight lines to show a trend. The x-axis usually represents time or another continuous variable. Gaps between points are not necessary because time flows continuously.
折线图用直线连接数据点来显示趋势。x轴通常表示时间或其他连续变量。点与点之间没有空隙，因为时间是连续流动的。
Example: Daily maximum temperatures in a week: Mon 8°C, Tue 10°C, Wed 11°C, Thu 9°C, Fri 12°C, Sat 14°C, Sun 13°C. Plot the temperatures and connect them. What is the trend? The temperature generally rises towards the weekend.
例子：一周每日最高气温：星期一8°C，星期二10°C，星期三11°C，星期四9°C，星期五12°C，星期六
Published by TutorHao | Year 7 统计 Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
屏轩国际教育cambridge primary/secondary checkpoint, cat4, ukiset,ukcat,igcse,alevel,PAT,STEP,MAT, ibdp,ap,ssat,sat,sat2课程辅导，国外大学本科硕士研究生博士课程论文辅导Cancel reply