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GB-30-05-001 · Systematic sampling

A list contains 473 members. A systematic sample takes member 10, then every 11th member after that. Work out how many members are selected.

Systematic Sampling Supplementary GCSE method — not covered in this booklet
Method
1) Divide total population by step interval k
2) Count how many terms of start + k×n lie within the list
Worked Example (GB-30-05-001)
1)
Positions form 10 + 11n with n from 0 to 42.
2)
43
Ans = 43