📚 Year 7 AQA Statistics: Summer Preparation and Bridging Course | AQA 七年级统计：暑期预习与衔接课程
Welcome to your Year 7 AQA Statistics summer bridging course! This guide will introduce you to the core statistical concepts you will meet in secondary school. By working through these topics during the summer, you can reduce anxiety and feel ready to explore data, charts, and probability from day one.
欢迎来到你的七年级 AQA 统计暑期衔接课程！本指南将向你介绍你在中学阶段将要接触的核心统计概念。通过在暑期学习这些主题，你可以减轻焦虑，为从第一天起探索数据、图表和概率做好准备。
1. Why Summer Bridging Matters | 为什么暑期衔接很重要
Moving from primary to secondary school brings new subjects and higher expectations. A summer bridging course in statistics helps you get used to statistical language and simple calculations before lessons start. This early exposure builds a foundation of confidence.
从小学过渡到中学带来了新的科目和更高的要求。统计暑期衔接课程帮助你在课程开始前，先熟悉统计语言和简单的计算。这种提前的接触会建立起信心的基础。
You will also discover that statistics is everywhere—in sports results, weather reports, and even social media polls. Starting early allows you to see the subject as practical and interesting, not intimidating.
你还会发现统计无处不在——在体育结果、天气预报，甚至社交媒体投票中。早点开始能让你觉得这个学科实用而有趣，而非令人生畏。
2. What Is Statistics? | 什么是统计？
Statistics is the science of collecting, organising, displaying, and interpreting data. Data means pieces of information, such as numbers, categories, or measurements. Statisticians ask questions, gather data, and then use graphs and summaries to find answers.
统计是一门收集、整理、展示和解读数据的科学。数据是指一些信息片断，比如数字、类别或测量值。统计学家提出问题，收集数据，然后用图表和摘要来寻找答案。
In Year 7 AQA Statistics, you will learn how to design a simple survey, record results, and present them using bar charts, pie charts, and averages. You will also begin to explore the language of chance.
在七年级 AQA 统计中，你将学习如何设计简单的调查，记录结果，并使用条形图、饼图和平均数来展示数据。你还会开始探索可能性的语言。
3. Types of Data | 数据类型
Data can be qualitative (descriptive) or quantitative (numerical). Qualitative data describes qualities, such as your favourite colour or type of pet. Quantitative data involves numbers, like how many siblings you have or your height in centimetres.
数据可以是定性的（描述性的）或定量的（数值型的）。定性数据描述品质，比如你最喜欢的颜色或宠物的类型。定量数据涉及数字，比如你有几个兄弟姐妹或你的身高（厘米）。
Quantitative data can be further split into discrete and continuous. Discrete data can only take specific values—usually whole numbers, like shoe sizes. Continuous data can take any value in a range, such as temperature or time.
定量数据可进一步分为离散数据和连续数据。离散数据只能取特定的值——通常是整数，比如鞋码。连续数据可以取某个范围内的任何值，比如温度或时间。
4. Collecting Data | 收集数据
To collect primary data, you carry out your own survey or experiment. For example, you might ask classmates about their favourite fruit. Secondary data is information gathered by someone else, such as data from a website or a book.
要收集原始数据，你需要自己进行调查或实验。例如，你可能会询问同学们最喜欢的水果是什么。二手数据是他人收集的信息，比如来自网站或书本的数据。
Good surveys use clear, unbiased questions. A question like “Why is football the best sport?” is biased. A better question is “What is your favourite sport?” with a list of options.
好的调查使用清晰、不带偏见的问题。像”为什么足球是最好的运动？”这样的问题带有偏见。更好的问题是”你最喜欢的运动是什么？”并附上选项列表。
5. Organising Data: Frequency Tables | 整理数据：频数表
A frequency table shows how often each item or group appears in a data set. You make a tally for each response, then count the tallies to give the frequency. This organises raw data so you can see patterns.
频数表显示数据集中每个项目或组出现的频次。你为每个答案画正字计数，然后数一数得到频数。这样整理了原始数据，让你能看到模式。
For example, if you survey 20 people about their favourite fruit, you might have: Apples, tally ||||, frequency 4; Bananas, tally |||| |, frequency 6; etc. Totalling frequencies should equal the total number of respondents.
例如，如果你调查了 20 个人最喜欢的水果，你可能有：苹果，计数 ||||，频数 4；香蕉，计数 |||| |，频数 6；等等。频数的总和应等于受访者的总数。
6. Bar Charts and Pictograms | 条形图和象形图
A bar chart uses rectangular bars to represent frequencies. The bars can be drawn vertically or horizontally. The length or height of each bar is proportional to the frequency. Bars are separated by gaps because the data are usually categorical or discrete.
条形图使用矩形条来表示频数。条可以垂直或水平绘制。每个条的长度或高度与频数成比例。条形之间留有间隙，因为数据通常是分类数据或离散数据。
A pictogram uses pictures or symbols to represent data. Each picture stands for a certain number of items. A key tells you how many. Pictograms are visually appealing but can be tricky when one picture has to show a fraction of a symbol.
象形图使用图画或符号来表示数据。每个图画代表一定数量的项目。图例会告诉你代表多少个。象形图看起来吸引人，但当一个图画必须表示符号的一部分时，可能会有点棘手。
7. Pie Charts | 饼图
A pie chart is a circle divided into sectors. Each sector’s angle is proportional to the frequency it represents. To draw a pie chart, you first find the total frequency, then calculate the angle for each category using the formula: angle = (category frequency ÷ total frequency) × 360°.
饼图是一个被分成扇形的圆。每个扇形的角度与它表示的频数成比例。要绘制饼图，首先求出总频数，然后用公式计算每个类别的角度：角度 = (类别频数 ÷ 总频数) × 360°。
Pie charts are excellent for showing proportions at a glance, but they are not suitable when there are too many small categories. In Year 7 you will practice drawing simple pie charts using a protractor.
饼图非常适合一目了然地显示比例，但当有很多小类别时就不太合适了。在七年级，你将练习使用量角器绘制简单的饼图。
8. Measures of Average: Mean, Median, Mode | 平均数的度量：平均数、中位数、众数
Averages help summarise a data set with a single typical value. The three main measures are mean, median, and mode.
平均数有助于用一个典型值来概括一组数据。三个主要的度量是平均数（均值）、中位数和众数。
Mode is the value that appears most often. There can be one mode, more than one mode, or no mode at all. For the list 3, 5, 5, 7, 8, the mode is 5.
众数是出现次数最多的值。可以有一个众数、多个众数，甚至没有众数。对于序列 3, 5, 5, 7, 8，众数是 5。
Median is the middle value when the data are ordered from smallest to largest. If there is an even number of data points, the median is the mean of the two middle values. For the list 2, 4, 6, 8, the median is (4+6)÷2 = 5.
中位数是将数据从小到大排序后位于中间的值。如果有偶数个数据点，中位数就是中间两个数的平均数。对于序列 2, 4, 6, 8，中位数是 (4+6)÷2 = 5。
Mean is calculated by adding all values together and dividing by the number of values. We write this as:
Mean = (Sum of all values) ÷ Number of values
平均数是通过将所有值相加再除以值的个数来计算的。我们写成：
平均数 = (所有值的总和) ÷ 值的个数
Using the Greek letter Σ (sigma) for sum, we can also write: Mean = Σx ÷ n, where x represents each data value and n is the total count.
使用希腊字母 Σ（西格玛）表示求和，我们也可以写成：平均数 = Σx ÷ n，其中 x 代表每个数据值，n 是总数。
9. Introduction to Probability | 概率初步
Probability is the measure of how likely an event is to happen. It is expressed as a number between 0 and 1, or as a fraction, decimal, or percentage. A probability of 0 means impossible, and 1 means certain.
概率是衡量事件发生可能性的度量。它用 0 到 1 之间的数字、分数、小数或百分比表示。概率为 0 表示不可能，为 1 表示必然发生。
For equally likely outcomes, probability of an event = (number of favourable outcomes) ÷ (total number of possible outcomes). For example, when rolling a fair dice, the probability of getting a 3 is ⅙.
对于等可能的结果，事件的概率 = (有利结果的数量) ÷ (所有可能结果的总数)。例如，掷一个公平的骰子，得到 3 的概率是 ⅙。
We often use words like impossible, unlikely, even chance, likely, and certain to describe probability in everyday language. In Year 7, you will learn to place events on a probability scale.
我们经常用不可能、不太可能、均等机会、可能和必然这些词来描述日常生活中的概率。在七年级，你将学习将事件放在概率标尺上。
10. Summer Practice Challenges | 暑期练习挑战
To get the most from this bridging course, try some hands-on activities over the summer. Conduct a mini survey among family or friends—ask about favourite films, sports, or breakfast choices. Record the data in a frequency table and draw a bar chart.
为了充分利用这个衔接课程，暑假期间尝试一些动手活动吧。对家人或朋友进行一个小调查——询问最喜欢的电影、运动或早餐选择。将数据记录在频数表中并绘制条形图。
Another challenge: collect weather data for a week—note the daily highest temperature in your area. Calculate the mean, median, and mode of these temperatures. You can also create a line graph to see the trend.
另一个挑战：收集一周的天气数据——记录你所在地区每日的最高温度。计算这些温度的平均数、中位数和众数。你也可以创建一个折线图来看趋势。
Finally, play dice or card games and record the outcomes. Estimate the experimental probability of certain results and compare with the theoretical probability. This makes probability real and fun.
最后，玩骰子或纸牌游戏，并记录结果。估计某些结果的实验概率，并与理论概率进行比较。这会让概率变得真实而有趣。
Published by TutorHao | Statistics Revision Series | aleveler.com
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