KS3 OCR Statistics: Winter Holiday Intensive Revision Plan | KS3 OCR 统计：寒假强化复习计划

📚 KS3 OCR Statistics: Winter Holiday Intensive Revision Plan | KS3 OCR 统计：寒假强化复习计划

Winter break is the perfect opportunity to reinforce your understanding of KS3 Statistics and build a solid foundation for future GCSE study. This 10-day intensive revision plan covers all the key topics in the OCR KS3 Statistics curriculum, with clear daily objectives, worked examples, and targeted practice. Spend about 60–90 minutes each day to stay sharp and boost your confidence.

寒假是巩固 KS3 统计知识、为未来 GCSE 学习打下坚实基础的绝佳时机。本计划为 OCR KS3 统计课程设计，共 10 天强化复习，涵盖所有核心主题，每天都有清晰的目标、例题和针对性练习。每天投入 60–90 分钟，帮你保持状态、提升信心。

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1. Day 1 – Understanding Data Types and Collection | 第1天：理解数据类型与收集

Begin by reviewing the distinction between quantitative and qualitative data, as well as discrete and continuous variables. Refresh your memory on how data can be collected through surveys, questionnaires, observations, and experiments, and learn to identify potential sources of bias in a data collection process.

首先复习定量数据与定性数据的区别，以及离散变量与连续变量的区分。重温通过调查、问卷、观察和实验收集数据的方法，并学会识别数据收集过程中可能存在的偏差来源。

Create a table listing five examples of discrete data and five examples of continuous data from everyday life.

制作一个表格，列出日常生活中的五个离散数据例子和五个连续数据例子。

Design a short questionnaire for a school canteen survey, ensuring questions are unbiased and allow for both quantitative and qualitative responses.

为学校食堂调查设计一份简短问卷，确保问题没有偏差，并能收集定量和定性回答。

Write down three things that could go wrong when collecting data (e.g., leading questions, small sample size) and how to avoid them.

写下数据收集时可能出现的三个问题（如诱导性问题、样本量过小）以及如何避免它们。

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2. Day 2 – Organising Data with Tables and Frequency | 第2天：用表格与频数整理数据

Learn how to organise raw data into frequency tables, tally charts, and grouped frequency tables. Understand the terms frequency, total frequency, and modal class. Practice constructing frequency tables from a list of data and use them to answer simple questions.

学习如何将原始数据整理成频数表、计数表以及分组频数表。理解频数、总频数和众数组等术语。练习根据数据列表构建频数表，并用它回答简单问题。

Write the definitions for ‘frequency’ and ‘modal class’ in your own words.

用自己的话写出“频数”和“众数组”的定义。

Given the shoe sizes of 30 students, create a tally and frequency table. Then identify which shoe size appears most often.

给出 30 名学生的鞋码数据，制作计数和频数表，然后指出哪个鞋码出现次数最多。

Explain why grouping data can be useful, and give an example where grouped frequency is more appropriate than a simple list.

解释为什么分组数据很有用，并举一个分组频数比简单列表更合适的例子。

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3. Day 3 – Bar Charts and Pictograms | 第3天：条形图与象形图

Focus on drawing and interpreting bar charts and pictograms. Pay attention to labelling axes, choosing an appropriate scale, and representing data accurately. Use a key for pictograms and ensure each symbol represents a consistent value.

重点练习绘制和解读条形图与象形图。注意坐标轴标签、选择合适的刻度以及准确表示数据。为象形图使用图例，并确保每个符号代表一致的数量。

Draw a bar chart to show favourite fruits surveyed from 50 classmates, using a scale where 1 cm represents 5 people.

绘制条形图展示对 50 名同学最喜爱水果的调查结果，刻度设为 1 厘米代表 5 人。

Create a pictogram to represent the number of books read by four friends in January; use one book symbol to represent 2 books, and include half symbols where needed.

创建一个象形图表示四位朋友一月份阅读的书籍数量；用一个书本符号代表 2 本书，必要时使用半个符号。

List three common mistakes when drawing bar charts (e.g., gaps between bars, missing labels) and explain how to fix them.

列举绘制条形图时的三个常见错误（例如条形间有间隙、缺少标签），并说明如何修正。

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4. Day 4 – Pie Charts and Interpreting Proportions | 第4天：饼图与解读比例

Revise how to calculate the angle for each sector in a pie chart using the formula (category frequency ÷ total frequency) × 360°. Practice drawing pie charts accurately with a protractor and interpreting the information they show about proportions.

复习如何用公式（类别频数 ÷ 总频数）× 360° 计算饼图中每个扇区的角度。练习用量角器准确绘制饼图，并解读饼图所展示的比例信息。

Angle = (Frequency of category ÷ Total frequency) × 360°

Convert the given data on how 120 students travel to school into a pie chart, showing all calculations for angles.

将 120 名学生上学交通方式的数据转换成饼图，展示所有角度计算过程。

Explain why a pie chart is not suitable for data with more than about six categories.

解释为什么饼图不适合类别超过六个左右的数据。

From a completed pie chart showing spending by a family, estimate roughly what fraction of the total goes to food if the food sector is 150°.

根据一张显示家庭支出的饼图，如果食品扇区为 150°，估算食品支出大约占总数的几分之几。

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5. Day 5 – Line Graphs and Time Series | 第5天：折线图与时间序列

Understand when to use line graphs, particularly for showing changes over time. Learn to plot points accurately, join them with straight lines, and read trends such as increasing, decreasing, or constant. Explore simple time series and make predictions based on observed patterns.

理解何时使用折线图，尤其是展示随时间变化的情况。学习准确描点、用直线连接，并读出趋势，如上升、下降或不变。探索简单的时间序列并根据观察到的规律做出预测。

Plot a line graph showing the temperature outside every two hours from 8 am to 8 pm. Describe the overall trend.

绘制折线图展示从早上 8 点到晚上 8 点每隔两小时的室外温度。描述总体趋势。

Explain what a ‘time series’ is and give an example from school life, such as weekly test scores over a term.

解释“时间序列”是什么，并给出一个学校生活中的例子，比如一学期内每周的测验成绩。

List two limitations of extrapolating a trend beyond the plotted data.

列举将趋势外推到已绘制数据之外的两个局限性。

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6. Day 6 – Scatter Graphs and Correlation | 第6天：散点图与相关性

Learn to draw scatter graphs to investigate relationships between two sets of data. Identify types of correlation: positive, negative, or no correlation. Understand that correlation does not imply causation. Practice drawing a line of best fit and using it to estimate values.

学习绘制散点图以研究两组数据之间的关系。识别相关性类型：正相关、负相关或无相关。理解相关性并不意味着因果关系。练习绘制最佳拟合线并用它估算数值。

Draw a scatter graph for the height and arm span of 15 students. Describe the correlation you observe.

为 15 名学生的身高和臂展绘制散点图，描述你观察到的相关性。

Explain why a strong correlation between ice cream sales and sunglasses sales does not mean one causes the other.

解释为什么冰淇淋销量与墨镜销量之间的强相关并不意味着一个引起了另一个。

Using a given scatter graph with a line of best fit, estimate the test score for a student who studied for 4.5 hours.

根据给定的带有最佳拟合线的散点图，估算一位学习了 4.5 小时的学生的考试分数。

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7. Day 7 – Averages: Mean, Median and Mode | 第7天：平均数：均值、中位数与众数

Master the three main averages. The mean is calculated by summing all values and dividing by how many there are. The median is the middle value when data is ordered. The mode is the value that appears most often. Practise choosing the best average to describe a data set.

掌握三种主要的平均数。均值是所有数值之和除以数值个数。中位数是数据排序后中间的值。众数是出现次数最多的值。练习选择最合适的平均数来描述数据集。

Mean = (x₁ + x₂ + … + xₙ) ÷ n

Find the mean, median, and mode for the following test scores: 12, 15, 10, 12, 18, 12, 14.

计算以下测验成绩的均值、中位数和众数：12, 15, 10, 12, 18, 12, 14。

Explain why the median is often a better measure than the mean when the data contains extreme outliers.

解释为什么当数据含有极端异常值时，中位数往往比均值更好的度量。

Create a small data set of five numbers where the mean is 10 but the mode is 8.

创建一个包含五个数字的小数据集，使其均值为 10 而众数为 8。

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8. Day 8 – Range and Comparing Distributions | 第8天：极差与比较分布

Learn to measure the spread of data using the range (maximum – minimum). Use averages and range together to compare two data sets meaningfully. Discuss why range alone cannot fully describe the spread of data and when it may be misleading.

学习用极差（最大值 – 最小值）度量数据的离散程度。结合平均数和极差来有根据地比较两组数据。讨论为什么单靠极差不能完全描述数据分布，以及它在什么情况下可能产生误导。

Range = Max value – Min value

Two classes took the same maths test. Class A scores: mean 65, range 40. Class B scores: mean 68, range 15. Write a short paragraph comparing the classes’ performance.

两个班级参加了相同的数学测试。A 班成绩：均值 65，极差 40。B 班成绩：均值 68，极差 15。写一小段话比较两个班级的表现。

Explain why a data set with a huge range might still have most values clustered close together.

解释为什么一个极差很大的数据集，其大多数值仍可能紧密地聚集在一起。

Calculate the range for the heights (in cm) of five plants: 23, 31, 28, 35, 26. Suggest what extra information would give a fuller picture.

计算五株植物的高度（厘米）：23, 31, 28, 35, 26 的极差。提出还需要哪些额外信息才能更全面地描述数据。

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9. Day 9 – Introduction to Probability | 第9天：概率入门

Build the basics of probability as a number between 0 and 1, or as a fraction, decimal, or percentage. Learn the probability scale from impossible to certain. Calculate simple probabilities for equally likely outcomes and express them in the simplest form.

建立概率的基础知识：概率是一个介于 0 和 1 之间的数字，可以用分数、小数或百分数表示。学习从不可能到确定的概率标度。计算等可能结果的简单概率，并用最简形式表示。

Probability = Number of favourable outcomes ÷ Total number of outcomes

A bag contains 5 red, 3 blue and 2 green counters. Find the probability of picking a blue counter. Write your answer as a fraction, a decimal and a percentage.

一个袋子里有 5 个红色、3 个蓝色和 2 个绿色筹码。求抽到蓝色筹码的概率。分别用分数、小数和百分数写出答案。

Place the following events on a probability scale: rolling a 7 on a normal die, the sun rising tomorrow, flipping a head on a fair coin.

将下列事件放置在概率标度上：掷普通骰子得到 7、明天太阳升起、抛公平硬币正面朝上。

Explain what the term ‘mutually exclusive’ means and give an example using a standard deck of cards.

解释“互斥”一词的含义，并用一副标准扑克牌举例说明。

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10. Day 10 – Mixed Practice and Exam Techniques | 第10天：混合练习与考试技巧

Consolidate all topics with mixed questions that require you to switch between different skills. Pay special attention to the wording of exam-style questions, such as ‘compare’, ‘estimate’, and ‘describe the trend’. Review your answers, check for common errors, and time yourself.

通过需要切换不同技能的混合题目来巩固所有主题。特别注意考试风格题目中的措辞，如“比较”、“估算”、“描述趋势”。检查答案，排查常见错误，并为自己计时。

Attempt a mixed worksheet that includes: a frequency table for grouped data, a pie chart calculation, and a question on comparing two distributions using median and range.

尝试一份综合练习题：包含分组数据频数表、饼图计算以及一道用中位数和极差比较两组分布的题目。

Write a checklist of key formulas and definitions you have covered (mean, range, probability, etc.). Use this checklist in the final 5 minutes of any practice test.

写一份你已学过的关键公式和定义清单（均值、极差、概率等）。在任何模拟测试的最后 5 分钟使用这份清单。

Reflect on which topic you found most difficult during this plan and create three extra practice questions for yourself on that topic.

反思在这个计划中你觉得哪个主题最难，并为自己出三道该主题的额外练习题。

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Published by TutorHao | Statistics Revision Series | aleveler.com

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