📚 AS Edexcel Statistics: Case Study Practical Workout | AS Edexcel 统计:案例分析实战演练
This article walks you through a realistic AS‑level Statistics case study for the Edexcel specification. You will see how to tackle a multi‑stage problem that combines data exploration, probability, distributions, hypothesis testing and regression – exactly the kind of holistic exercise that builds exam confidence.
本文通过一个贴近现实的情景案例,完整演练 Edexcel AS 统计涉及的数据探索、概率、分布、假设检验和回归等内容。每个分析步骤都配有讲解,帮助你掌握在多阶段题目中整合统计方法的能力,从容应对考试。
1. Case Background and Data Exploration | 案例背景与数据探索
Brew & Bean, a coffee chain, recorded daily operational data over 30 consecutive days. For each day the management collected: number of customers (X), daily sales in £ (Y), average customer wait time in minutes (W), and the number of defective drinks out of 50 prepared (D). The first task is to inspect the dataset for completeness and to identify variable types.
“Brew & Bean”是一家咖啡连锁店,连续 30 天记录了每日运营数据:顾客数(X)、日销售额 £(Y)、顾客平均等待时间分钟(W),以及每 50 杯饮品中的缺陷数量(D)。分析的第一步是检查数据完整性并区分变量类型。
The table below shows a snapshot of the first five days. Notice that all variables are quantitative; X and Y are discrete in practice but can be treated as continuous for modelling, while W is continuous and D is a discrete count.
下表列出了前五天的数据片段。所有变量都是数值型:X 与 Y 实际上是离散的,但建模时可当作连续变量处理;W 是连续变量;D 是离散计数。
| Day | X (Customers) | Y (£) | W (min) | D (defects) |
| 1 | 210 | 1520 | 3.8 | 2 |
| 2 | 185 | 1380 | 4.2 | 3 |
| 3 | 230 | 1680 | 3.6 | 1 |
| 4 | 195 | 1420 | 4.5 | 2 |
| 5 | 220 | 1590 | 4.0 | 4 |
In any case‑study question, start by reading the scenario carefully and writing down what each symbol represents. Check whether the data are primary or secondary, and note any potential sources of bias – for instance, those 30 days might be from a quiet season.
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