A 2-column table with 7 rows. Column 1 is labeled x with entries 2.1, 2.5, 2.7, 3.1, 3.4, 3.9, 4.2. Column 2 is labeled y with entries 30, 36, 34, 38, 39, 42, 41.

Question

Which best describes the data in the table?
There are no outliers, but there is a cluster.
There is a cluster and outliers.
There are no clusters or outliers.
There are no clusters, but there are outliers.

Answer 1

To analyze the data in the table and describe its characteristics, we can look at the trend and distribution of the entries in both columns:

• Column 1 (x): 2.1, 2.5, 2.7, 3.1, 3.4, 3.9, 4.2
• Column 2 (y): 30, 36, 34, 38, 39, 42, 41

Analyzing the Data:

1. Clusters: A cluster occurs when a group of points are closely packed together in a certain area. In this data set, the y-values appear to be mostly grouped around the 36 to 42 range, indicating a potential cluster in that region.

2. Outliers: An outlier is a data point that is significantly different from the others. In this table, the first entry (x = 2.1, y = 30) is much lower compared to the other values, which suggests it might be an outlier.

Conclusion:

Based on the above analysis:

• There seems to be a cluster in the y-values ranging from 36 to 42.
• The point (2.1, 30) stands out as it is distinctly lower than the others, indicating it could be considered an outlier.

Best Description:

There is a cluster and outliers.