# A building has 11 flats. A sample of 4 flats is to be selected using (i) linear systematic sampling and (ii) circular systematic sampling. List all possible samples for each of these cases separately.

1
by issh

2015-02-20T11:44:14+05:30

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N = 11
n = 4

N/n = 11/4 =2.75      nearest integer = 3
let k = 3

1) Linear systematic sampling
Let i = 1,  sample : 1, 4, 7, 10
i = 2,  sample :   2, 5 , 8 , 11
i =3 ,  sample :    3, 6, 9

2)  Circular systematic sample:
i = 1, sample:  1, 4,7,10
2                2,5,8, 11
3                 3,6,9,1
4                 4,7,10,2
5                 5, 8, 11, 3
6                 6,9,1, 4
7                7,10,2,5
8                 8,11,3,6
9                 9,1,4,7
10               10,2,5,8
11,              11,3,6,9