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IAL 2023 June S2 Q2

A Level / Edexcel / S2

IAL 2023 June Paper · Question 2

题目

Problem

A leisure centre has 2500 members. It asks a sample of 300 members for their opinions on the fees it charges for using the centre.

(a) State one characteristic of a population that would make a census a practical alternative to sampling.

(1)

For the sample,

(b) (i) identify a suitable sampling frame,

(ii) identify a sampling unit.

(2)

The leisure centre has the following pieces of information. A is the list of the different types of membership that can be paid for by members. B is the mean of the membership fees paid by all 2500 members. C is the number in the sample of 300 members who are satisfied with the fees they pay.

(c) State the piece of information that is a statistic. Give a reason for your answer.

(1)

(Total for Question 2 is 4 marks)

题目中文翻译

一家休闲中心有 2500 名会员。 它向 300 名会员抽样调查他们对中心收费的意见。

(a) 说明人口具有哪一种特征会使普查成为抽样的实际替代方案。

对于该样本,

(b) (i) 识别一个合适的抽样框架,

(ii) 识别抽样单位。

休闲中心有以下信息。 A 是会员可支付的不同会员类型列表。 B 是所有 2500 名会员所支付会费的平均值。 C 是样本中 300 名对收费满意的会员人数。

(c) 说明哪一项信息是统计量。 并给出理由。

(第 2 题共 4 分)

解答