Answer: 52, 92 , 132, 172
Explanation:
- A systematic random sampling is a random sampling technique in which a sample from a large population are chosen according to a random beginning point and a fixed periodic interval (k).
Given : Systematic Sampling Technique is used to select 5 numbers between 1 and 200.
⇒ Population size : N=200
Required Sample size : n=5
Since , Sampling interval is given by :-
⇒ [tex]k=\dfrac{200}{5}[=40/tex]
If the first selected number is 12, then the next four numbers would be :
(12+K) , (12+2k) , (12+3k) , (12+4k)
Put value of k , we get
(12+40) , (12+2(40)) , (12+3(40)) , (12+4(40)) =(52, 92 , 132, 172)
Hence, the next four numbers are : 52, 92 , 132, 172