There are 40 ﬂats in a multi—storied apartment. 5 ﬂats are to be … - Vidyadip

Question

There are $40$ ﬂats in a multi—storied apartment. $5$ ﬂats are to be selected using systematic sampling from $40$ ﬂats for decoration in a cultural program. Explain how the sample can be selected ?

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Answer

Here, total number of ﬂats is $40$ i.e. $N = 40$ and we have to select $5$ ﬂats i.e. $n = 5.$
So, the sampling interval $k = N/n = 40/5 = 8$.
Now, every 8th ﬂat will be selected after randomly selecting one ﬂat from ﬂat number $1$ to $8$.
Suppose ﬂat number $3$ is selected from ﬁrst $8$ ﬂats then ﬂats with following numbers are selected:
$3,11,19,27,35.$

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