Numeracy Higher June 2023 Unit 1 Q5
5. Alan Frames is a company that employs 360 people.
6 of these people are to be selected to discuss changes to the company logo.
The manager has decided to use a systematic sampling method.
He has a numbered list of all 360 people.
(a) When using systematic sampling, where in the list should the manager start his selection of the 6 people?
Tick (✓) one of the boxes. [1]
Tick (✓) one of the boxes. [1]
| The 60th name in the list | ☐ |
| At a randomly chosen name | ☐ |
| First person in the list | ☐ |
| Last person in the list | ☐ |
| A name by any multiple of 60 in the list | ☐ |
(b) The manager actually starts by selecting the 4th name in his list.
Complete the table below to give the position in the list of the 6 people who would be selected using systematic sampling. [2]
Complete the table below to give the position in the list of the 6 people who would be selected using systematic sampling. [2]
| Person selected | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---|---|---|---|---|---|---|
| Position in the list | 4th | …………… | …………… | …………… | …………… | …………… |
| Scheme | Marks | Comments |
|---|---|---|
| At a randomly chosen name | B1 |
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (360 ÷ 6 =) 60 or 360 ÷ 60 = 6 or 6 × 60 = 360 | B1 | May be implied by any of the following:
| ||||||||||||
| B1 | CAO |