Answer :
To determine a possible cluster sample of the homes in the city, we need to understand what a cluster sample is. In a cluster sampling method, the entire population is divided into groups, or clusters, and a whole cluster is randomly selected to be sampled. Each cluster in this context likely corresponds to an entire row of houses in the given table.
Let's analyze each option to see if it represents a full row or cluster:
A. [tex]$7303, 7306, 7307, 7310, 7311, 7314, 7315, 7318$[/tex]
- All these house numbers belong to the first row (block) in the table. This option represents selecting all houses from one entire row, which is a cluster sampling.
B. [tex]$6414, 1418, 1626, 7306, 9052, 8134, 1369, 1592$[/tex]
- This selection contains house numbers from different rows. It is not a selection of all houses from any single row, so it is not a cluster sample.
C. [tex]$1419, 1625, 1370, 9067, 1418, 7310, 1595, 1595$[/tex]
- Similar to Option B, this selection picks houses from various rows. Therefore, it is not a cluster sample.
D. [tex]$1369, 1369, 1590, 1630, 1417, 6425, 9056, 8125$[/tex]
- This selection also has house numbers from different rows, making it not a cluster sample.
Thus, Option A, which includes all the houses from one row, is the correct cluster sample. The correct cluster sample is:
A. [tex]$7303, 7306, 7307, 7310, 7311, 7314, 7315, 7318$[/tex]
Let's analyze each option to see if it represents a full row or cluster:
A. [tex]$7303, 7306, 7307, 7310, 7311, 7314, 7315, 7318$[/tex]
- All these house numbers belong to the first row (block) in the table. This option represents selecting all houses from one entire row, which is a cluster sampling.
B. [tex]$6414, 1418, 1626, 7306, 9052, 8134, 1369, 1592$[/tex]
- This selection contains house numbers from different rows. It is not a selection of all houses from any single row, so it is not a cluster sample.
C. [tex]$1419, 1625, 1370, 9067, 1418, 7310, 1595, 1595$[/tex]
- Similar to Option B, this selection picks houses from various rows. Therefore, it is not a cluster sample.
D. [tex]$1369, 1369, 1590, 1630, 1417, 6425, 9056, 8125$[/tex]
- This selection also has house numbers from different rows, making it not a cluster sample.
Thus, Option A, which includes all the houses from one row, is the correct cluster sample. The correct cluster sample is:
A. [tex]$7303, 7306, 7307, 7310, 7311, 7314, 7315, 7318$[/tex]
