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IAL 2021 Jan S3 Q1

A Level / Edexcel / S3

IAL 2021 Jan Paper · Question 1

题目

Problem

A journalist is going to interview a sample of 10 players from the 60 players in a local football club. The journalist uses the random numbers on page 27 of the formula booklet and starts at the top of the 10th column, where the first number is 96

The journalist worked down the 10th column to select 10 numbers. The first 3 numbers selected were: 33, 15 and 23

(a) Find the other 7 numbers to complete the sample of ten.

(2)

There are 24 girls and 36 boys who play football for the club. The journalist labels the girls from 1 to 24 and the boys from 25 to 60

(b) Show how the journalist can use her 10 random numbers to select a stratified sample of 10 players from the club to interview.

(2)

The club provided the journalist with a list of the players in ascending order of ages, numbered 1 to 60. The journalist uses the 10 random numbers to select a simple random sample of the players.

(c) State, giving a reason, a group of players who may not be represented in this sample.

(2)
题目中文翻译

一位记者将从当地足球俱乐部的 60 名球员中随机采访 10 人。记者使用公式手册第 27 页上的随机数,从第 10 列顶部开始,那里第一个数字是 96。

记者沿着第 10 列向下选取了 10 个数字。前 3 个选出的数字是:33、15 和 23。

(a) 求其余 7 个数字,补成 10 人样本。

俱乐部里有 24 名女生和 36 名男生。 记者把女生编号为 1 到 24,男生编号为 25 到 60。

(b) 说明记者如何利用这 10 个随机数,从俱乐部中抽取一个 10 人的分层样本接受采访。

俱乐部提供了一份按年龄升序排列、编号为 1 到 60 的球员名单。记者利用这 10 个随机数从中抽取一个简单随机样本。

(c) 写出一组可能不会被这个样本代表的球员,并说明理由。

解答