Year 7 WJEC Statistics: Case Study Practical Exercises | Year 7 WJEC 统计：案例分析实战演练

📚 Year 7 WJEC Statistics: Case Study Practical Exercises | Year 7 WJEC 统计：案例分析实战演练

Welcome to a hands-on statistics case study designed for Year 7 students following the WJEC curriculum. In this article, we will walk through a real-world example: investigating the after-school activities of Year 7 pupils. By working through each step—from designing a survey to presenting conclusions—you will practise essential statistical skills and see how data helps us make decisions.

欢迎参加为遵循 WJEC 课程的七年级学生设计的统计案例实战演练。本文将带领你走过一个真实示例：调查七年级学生的课后活动。通过从设计调查到展示结论的每一步练习，你将实践关键的统计技能，并了解数据如何帮助我们做决策。

1. Introducing the Case Study | 案例研究简介

Our school wants to find out which after-school clubs to offer next term. The student council has decided to survey Year 7 pupils about their favourite after-school activities and how much time they spend exercising each week. This is a practical statistical investigation.

学校希望了解下学期应开设哪些课后俱乐部。学生会决定调查七年级学生最喜欢的课后活动以及他们每周锻炼多长时间。这是一项实际的统计调查。

We will collect two types of data: categorical data (the type of activity) and numerical data (hours of exercise). This will allow us to practise a range of skills including designing questionnaires, creating frequency tables, drawing charts, calculating averages, and finding probabilities.

我们将收集两类数据：类别数据（活动类型）和数值数据（锻炼小时数）。这将使我们能够练习一系列技能，包括设计问卷、制作频数表、绘制图表、计算平均值以及求概率。

2. Collecting Data: Surveys and Questionnaires | 数据收集：调查与问卷

To collect data, we need a well-designed questionnaire. The questions must be clear and unbiased. For categorical data, we ask: ‘What is your favourite after-school activity?’ with options: Sports, Music, Art, Reading, Gaming, Other. For numerical data: ‘How many hours do you spend on physical exercise per week?’ This gives us a number.

为了收集数据，我们需要一份设计良好的问卷。问题必须清晰且无偏向。对于类别数据，我们问：“你最喜欢的课后活动是什么？”选项包括：运动、音乐、美术、阅读、游戏、其他。对于数值数据：“你每周花多少小时进行体育锻炼？”这给我们一个数字。

We surveyed 30 Year 7 students. Their responses are recorded in a tally chart first, then converted to frequency. This is a typical primary data collection process.

我们调查了30名七年级学生。他们的回答首先记录在计数表中，然后转换为频数。这是一个典型的第一手数据收集过程。

3. Organising Data: Frequency Tables | 数据整理：频数表

The categorical data are organised into a frequency table. Below is the table showing the favourite after-school activities of the 30 students.

类别数据被整理成一个频数表。下表显示了30名学生最喜欢的课后活动。

We can check the total frequency: 10+6+5+4+3+2 = 30, which matches our sample size.

我们可以检查总频数：10+6+5+4+3+2=30，与样本容量一致。

For numerical data, we recorded 30 exercise hours: 3,5,2,4,6,3,5,1,4,5,2,3,4,5,2,3,1,4,5,6,3,2,4,5,3,2,4,5,3,4. We can also organise this into a frequency table, but we will use it directly to calculate averages.

对于数值数据，我们记录了30个锻炼小时数：3,5,2,4,6,3,5,1,4,5,2,3,4,5,2,3,1,4,5,6,3,2,4,5,3,2,4,5,3,4。我们也可以将其整理成频数表，但我们将直接用它来计算平均数。

4. Displaying Data: Bar Charts and Pictograms | 数据显示：条形图和象形图

A bar chart is perfect for showing the favourite activities. We draw a bar for each category; the height represents the frequency. The ‘Sports’ bar would be the tallest at 10, while ‘Other’ is the shortest at 2. The bars are separated because the data are categorical.

条形图非常适合展示最喜欢的活动。我们为每个类别画一个条形；高度代表频数。“运动”条最高，为10，“其他”条最短，为2。条形之间是分开的，因为数据是类别型的。

We always label

Published by TutorHao | Year 7 统计 Revision Series | aleveler.com

更多咨询请联系16621398022（同微信）