📚 Year 11 AQA Statistics: Vocabulary & Terminology Quick Memorisation Guide | Year 11 AQA 统计：词汇术语速记指南
Mastering the specific vocabulary of statistics is half the battle for your AQA exam. This guide pairs key terms with powerful memory techniques to help you recall definitions quickly and accurately under pressure.
掌握统计学的专门术语是打赢 AQA 考试战役的一半。本指南将核心词汇与强大的记忆技巧配对，帮助你在压力下快速准确地回忆起定义。
1. Population and Sample | 总体与样本
A population is the entire group you want to draw conclusions about, while a sample is a smaller subset selected from it. Think of 'population = all people in a country' and 'sample = just a taste'.
总体是你想得出结论的整个群体，而样本是从中选出的一个较小子集。想象 '总体 = 一个国家全部人口'，'样本 = 不过尝一口'。
Memory trick: Population = Panoramic, Sample = Slice. A census asks the whole population, but a survey just asks a sample.
记忆诀窍：总体如全景，样本如薄片。普查询问整个总体，但调查只询问样本。
- Population: all members – 全体成员。
- Census: data from every individual – 普查：从每个个体收集数据。
- Sample: part of the population – 样本：总体的一部分。
- Sampling frame: list of all members from which the sample is drawn – 抽样框：从中抽取样本的全体成员名单。
2. Types of Data | 数据的类型
Data can be qualitative (categories, e.g. hair colour) or quantitative (numbers). Quantitative splits into discrete (counted, e.g. number of students) and continuous (measured, e.g. height).
数据可以是定性的（类别，如头发颜色）或定量的（数字）。定量数据又分为离散的（可数，如学生人数）和连续的（可量，如身高）。
Acronym C.A.N.: Continuous, Attribute (another word for qualitative), Numerical (quantitative). Discrete sounds like 'discreet counting' – you can count them discreetly one by one.
缩写 C.A.N.：Continuous（连续），Attribute（属性的另一种说法，即定性），Numerical（数值的，即定量）。Discrete 听起来像 'discreet counting'（谨慎地计数）——你可以一个一个谨慎地数出来。
- Qualitative: non-numerical categories – 定性：非数值类别。
- Quantitative: numerical measurements – 定量：数值测量。
- Discrete: only takes specific values (often integers) – 离散：仅取特定值（常为整数）。
- Continuous: can take any value in a range – 连续：可取范围内任意值。
3. Measures of Central Tendency | 集中趋势的度量
The mean (x̄) is the arithmetic average, the median is the middle value when ordered, and the mode is the most frequent value. Use the rhyme 'Mean as average, median in the middle, mode is the most'.
平均数（x̄）是算术平均值，中位数是有序排列时的中间值，众数是出现频率最高的值。用歌谣 'Mean 是平均，Median 是中间，Mode 是出现最多'。
Picture a set of values as a line of people. The mode is the person you see most often, the median is the one in the middle, and the mean is the balancing point.
把一组值想象成一排人。众数是出现最多的那个人，中位数是中间那个人，平均数是平衡点。
- Mean: sum of values ÷ number of values – 平均数：值之和 ÷ 值的个数。
- Median: 50ᵗʰ percentile – 中位数：第 50 个百分位数。
- Mode: most frequent – 众数：最频繁出现的值。
4. Measures of Spread | 离散程度的度量
Range = maximum – minimum. Interquartile range (IQR) = Q₃ – Q₁, which covers the middle 50% of data. Variance (σ²) and standard deviation (σ) measure average squared distance from the mean.
极差 = 最大值 – 最小值。四分位距 (IQR) = Q₃ – Q₁，包含了中间 50% 的数据。方差（σ²）和标准差（σ）度量数据与平均数的平均平方距离。
Think of spread as the 'wobble' of the data. Range is the whole wobble, IQR is the middle wobble ignoring extremes, and standard deviation is the typical wobble from the centre.
把离散程度想象成数据的 '摆动幅度'。极差是整个摆动幅度，IQR 是忽略极端值后的中间摆动，标准差是距离中心的典型摆动。
| Term (术语) | Symbol (符号) | Mnemonic (记忆) |
|---|---|---|
| Range | max – min | 'Range covers from start to end' |
| IQR | Q₃ – Q₁ | 'IQ range – middle 50% smart data' |
| Standard deviation | σ | 'Standard = typical, Deviation = difference' |
5. Sampling Methods | 抽样方法
Random sampling gives every member an equal chance. Stratified sampling divides the population into groups (strata) and samples proportionally. Systematic sampling picks every kᵗʰ item. Quota sampling sets fixed numbers per category and picks conveniently.
随机抽样让每个成员被选中的机会均等。分层抽样将总体分成组（层）并按比例抽取。系统抽样每第 k 个取一个。配额抽样先设定各类别固定数量，再便利地选取。
To remember stratified, think of layers in a cake – ‘strata’. For systematic, imagine a systematic robot picking every 10ᵗʰ item.
要记住 stratified，想想蛋糕的层——‘strata’。至于 systematic，想象一个有规律的机器人每第 10 个取一次。
- Simple random: lottery draw – 简单随机：抽奖。
- Stratified: proportional slices – 分层：按比例切片。
- Systematic: fixed interval – 系统：固定间隔。
- Cluster: randomly pick whole groups – 整群：随机抽取整个群组。
- Quota: meet set counts – 配额：满足设定数量。
6. Charts and Graphs | 统计图表
Histograms use bar area to represent frequency for continuous data; bars touch. Frequency polygon connects midpoints of histogram bars. Cumulative frequency curve shows running totals, always increasing.
直方图用条形面积表示连续数据的频数；条形相连。频数多边形连接直方图条形中点。累积频数曲线展示累计总数，始终上升。
Think of a histogram as a city skyline where bars touch like buildings. A frequency polygon is like a roofline connecting those buildings. The cumulative frequency curve is like a climbing ladder – it never goes down.
把直方图看成城市天际线，条形像建筑物一样紧挨着。频数多边形像是连接这些建筑物的屋顶线。累积频数曲线像攀登的梯子——从不下降。
- Histogram: area ∝ frequency, bars touch – 直方图：面积∝频数，条形相邻。
- Frequency polygon: line graph at midpoints – 频数多边形：在中点上的折线图。
- Cumulative frequency: 'add as you go' curve – 累积频数：'边走边加' 的曲线。
- Bar chart: bars for categories, gaps between – 条形图：分类条形，之间有间隙。
- Pie chart: sectors sum to 360° – 饼图：扇区和为 360°。
7. Probability Terminology | 概率术语
An experiment is a repeatable process with outcomes. An event is a set of outcomes. Two events are independent if one does not affect the other. Mutually exclusive events cannot happen at the same time.
试验是可重复的过程并产生结果。事件是一组结果的集合。若一个事件不影响另一个，则二者独立。互斥事件不能同时发生。
Recall: 'Independent means no influence, mutually exclusive means no overlap'. Use a Venn diagram: independent events have separate circles? No, independent events can overlap, so use the formula P(A ∩ B) = P(A)P(B). But for mutual exclusivity, Venn circles do not overlap. Chant: 'Mutual exclusion = no intersection'.
记忆：'独立意味着无影响，互斥意味着无重叠'。用维恩图：互斥事件圈不交，唱：'互斥圈无交集'。独立则用公式 P(A ∩ B) = P(A)P(B)。
- Experiment: repeatable procedure – 试验：可重复的过程。
- Sample space: all possible outcomes – 样本空间：所有可能结果。
- Event: subset of sample space – 事件：样本空间的子集。
- Independent: P(A∩B)=P(A)P(B) – 独立：P(A∩B)=P(A)P(B)。
- Mutually exclusive: P(A∩B)=0 – 互斥：P(A∩B)=0。
- Complement: 'not' event, P(A')=1−P(A) – 补集：'非'事件，P(A')=1−P(A)。
8. Distributions: Binomial and Normal | 分布：二项分布与正态分布
A binomial distribution counts successes in a fixed number of independent trials, each with the same probability p. Check the BINS acronym: Binary outcomes, Independent trials, Number fixed, Same probability.
二项分布计算在固定次数的独立试验中成功的次数，每次成功概率 p 相同。用 BINS 助记：Binary 结果（成功/失败），Independent 试验，Number 固定，Same 概率。
The normal distribution is a bell-shaped curve described by mean µ and standard deviation σ. Remember 'Normal = symmetrical bell, mean in the centre, 68–95–99.7 rule'.
正态分布是钟形曲线，由均值 µ 和标准差 σ 描述。记住：'正态对称钟，均值居中心，68–95–99.7 法则'。
- Binomial B(n,p): n trials, p success prob. – 二项 B(n,p)：n 次试验，成功概率 p。
- Normal N(µ,σ²): bell shape – 正态 N(µ,σ²)：钟形。
9. Scatter Graphs and Correlation | 散点图与相关性
A scatter graph plots bivariate data. Correlation describes the strength and direction of a linear relationship. Line of best fit summarises the trend. Interpolation predicts within the data range, extrapolation predicts outside – more reliable.
散点图绘制双变量数据。相关性描述线性关系的强度和方向。最佳拟合线概括趋势。内插在数据范围内预测，外推超出范围预测——更不可靠。
Mnemonic: 'Inside safe interpolation, Extrapolation is Ex-trap – can be a trap!'
助记：'内插安全 Inside，外推 Ex-trap – 可能是陷阱！'
- Positive correlation: as x↗, y↗ – 正相关：x↗, y↗。
- Negative correlation: as x↗, y↘ – 负相关：x↗, y↘。
- No correlation: random scatter – 无相关：随机散落。
- Line of best fit passes through (x̄, ȳ) – 最佳拟合线过 (x̄, ȳ)。
10. Key Measures from Cumulative Frequency | 从累积频数图中获取的关键值
From a cumulative frequency graph you can read quartiles (Q₁, Q₂=median, Q₃) and the interquartile range. The graph is always upward sloping because you add frequencies.
从累积频数图中可读出四分位数（Q₁, Q₂=中位数, Q₃）和四分位距。图形始终向上倾斜，因为你在累加频数。
Visualise a staircase that only goes up – cumulative means 'cumulative' total never decreases.
想象一个只上不下的楼梯——累积意味着'累积'总数永远不会减少。
Q₁: 25ᵗʰ percentile, Q₂: 50ᵗʰ percentile, Q₃: 75ᵗʰ percentile → IQR = Q₃ – Q₁
11. Vocabulary Quick-Fire Memory Hooks | 术语速记钩子
| Term (术语) | Memory Hook (记忆钩子) |
|---|---|
| Bivariate data | 'Bi' = two, so two variables – 双变量数据就是两个变量。 |
| Outlier | 'Out-lier' lies outside the main cluster – 异常值躺在主流之外。 |
| Skewness | Tail determines skew. If tail is to the right, positive skew; mode < median < mean – 尾部决定偏斜方向。右尾长则为正偏。 |
| Population parameter | True value for population – 总体参数是总体的真实值，用希腊字母。 |
| Sample statistic | Estimate from a sample – 样本统计量是来自样本的估计值，用拉丁字母。 |
12. Mastering the Terminology Through Practice | 通过练习掌握术语
Use flashcards: write the term on one side and the definition with a visual on the other. Self-test daily with a partner or app. When tackling exam questions, underline the statistical term in the problem and recall its exact meaning before solving.
使用闪卡：一面写术语，另一面写定义并配上视觉图像。每天同伙伴或用应用自我测试。在做考试题时，划出题中的统计术语，在解题前先回想其确切含义。
Mnemonics only work if you actively connect the term to its meaning. Build a 'statistics dictionary' in your revision notes and update it every week.
记忆术只有在主动将术语与其意义连接时才有效。在你的复习笔记中建立一本'统计学词典'，并每周更新。
Published by TutorHao | Statistics Revision Series | aleveler.com
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