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IAL 2025 Oct S2 Q1

A Level / Edexcel / S2

IAL 2025 Oct Paper · Question 1

题目

Problem

The captain of a large sports club wants to survey a random sample of the club’s members to obtain their opinions about proposed changes to the clubhouse.

(a) Suggest a suitable sampling frame for the survey.

(1)

(b) Identify the sampling units for the survey.

(1)

(c) Give one advantage and one disadvantage of taking a random sample rather than a census.

(2)

(Total for Question 1 is 4 marks)

题目中文翻译

一个大型体育俱乐部的主席想要对俱乐部成员进行随机抽样调查,以获取他们对俱乐部会所拟议更改的意见。

(a) 建议一个适合此调查的抽样框架。

(b) 识别此调查的抽样单位。

(c) 给出抽样而非普查的一个优点和一个缺点。

(第 1 题共 4 分)

解答

(a)

解法一

思路

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抽样框应完整列出总体中的所有抽样单位。这里的总体是体育俱乐部的全部会员,因此应使用完整会员名册或会员数据库,不能只是一份部分会员名单。

答题过程

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A suitable sampling frame is a complete register or database of all members of the sports club.

(b)

解法一

思路

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抽样单位是实际被抽取并接受调查的基本对象,而不是会员所表达的意见。因此,每一名俱乐部会员都是一个抽样单位。

答题过程

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The sampling units are the individual members of the sports club.

(c)

解法一

思路

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随机样本只调查部分会员,因此收集和分析数据通常更快;但样本可能不能准确代表全部会员。题目要求一项优点和一项缺点,两者都需明确说明。

答题过程

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An advantage is that taking a random sample is less time-consuming than carrying out a census.

A disadvantage is that the sample may not be representative of all the club’s members.