The human resource department at a certain company wants to

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 3214 employees at the company and wants to conduct a systematic sample of size 30. What is k?

Solution

In general we find k by taking N/n and rounding down to the nearest integer. Here N=3214 and n=30. Therefore,

k=N/n=3214/30=107