Case Study Practice in Statistics | 案例分析实战演练

📚 Case Study Practice in Statistics | 案例分析实战演练

In this article, we will work through a realistic statistical investigation from start to finish. The case study involves a group of Year 11 students and explores the relationship between study time, revision methods, and exam performance. By following each step — from data collection to interpretation — you will see how descriptive statistics, graphs, probability, and bivariate analysis are applied in practice.

本文将通过一个真实的统计调查案例，从头到尾进行实战演练。案例涉及一组Year 11学生，探讨学习时间、复习方式与考试成绩之间的关系。通过从数据收集到结论解释的每一步操作，你将了解到描述统计、图表、概率及双变量分析在实际中的应用。

1. Case Introduction and Problem Definition | 案例介绍与问题定义

A teacher wants to understand what factors influence mathematics exam scores. She decides to collect data on the number of hours students study each week, their preferred revision method, and their most recent exam result (as a percentage). The aim is to identify any patterns and to see whether study time can predict performance.

一位老师想了解哪些因素会影响数学考试成绩。她决定收集每位学生每周学习的小时数、他们最喜欢的复习方法以及最近一次考试的成绩（百分比）。目标是找出是否存在规律，并探究学习时间能否预测成绩。

2. Data Collection and Organisation | 数据收集与整理

The teacher surveys 20 students. For each student, three pieces of information are recorded: weekly study hours (to the nearest hour), choice of revision method (Past Papers, Flashcards, Textbook, Video Tutorials), and exam score (%). The raw data are shown in the table below.

老师调查了20名学生。每名学生记录三项信息：每周学习小时数（精确到小时）、复习方式的选择（历年真题、闪卡、课本、视频教程）和考试分数（%）。原始数据如下表所示。