Question
Select all possible samples of size $4$ using systematic sampling from a population of $20$ units.

Answer

  • Here, $N=20 . N=4, k=\frac{20}{4}=5$
  • We have to select all possible systematic samples of size $4 . K=5$. Therefore, selected possible random number may be $1,2,3,4$ or $5.$
  • If selected random number is $1:$ Sample $1: 1,6,11,16$
  • If selected random number is $2:$ Sample $2: 2,7,12,17$
  • If selected random number is $3:$ Sample $3: 3,8,13, 18$
  • If the selected random number is $4:$ Sample $4: 4,9,14,19$
  • If the selected random number is $5:$ Sample $5: 5,10,15,20$

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