Question

which statement is true? scatter plot with x-axis: length (ft) (0–10), y-axis: age (years) (0–10); blue dots clustered around age 1–2, length 5–7, and other dots at age 3 (length 8), age 4 (length 9), age 5 (length 8), age 9 (length 5). options: this scatter plot has one cluster and one outlier. this scatter plot has one cluster and no outliers. this scatter plot has one cluster and three outliers. this scatter plot has no clusters and no outliers.

Explanation:

1. Identify Cluster: A cluster is a group of data points that are close together. In the scatter plot, most points are around Age 1 - 2 and Length 5 - 7, forming one cluster.
2. Identify Outliers: Outliers are points far from the cluster. The point at Age 9 (Length ~5) is far from the main cluster. Also, check other points: Age 3 (Length 8), Age 4 (Length 9), Age 5 (Length 8) – wait, no, re - examine. Wait, the main cluster is at lower ages (1 - 2). The point at Age 9 is an outlier, and also Age 3,4,5? Wait no, let's count again. Wait the options: "one cluster and three outliers" – let's see: the main cluster is the group at Age 1 - 2. Then the points at Age 3 (Length 8), Age 4 (Length 9), Age 5 (Length 8), and Age 9 (Length ~5)? Wait no, maybe I miscounted. Wait the options: let's check the options again. The options are:

• Option 1: no clusters and no outliers (wrong, since there is a cluster).
• Option 2: one cluster and three outliers (let's see: the main cluster is the group of points at Age 1 - 2. Then the points at Age 3, Age 4, Age 5, and Age 9? Wait no, maybe the three outliers are Age 3, Age 4, Age 5? Wait no, the point at Age 9 is also an outlier? Wait maybe the correct option is "This scatter plot has one cluster and three outliers" because the main cluster is the dense group at lower ages, and then three points (Age 3, Age 4, Age 5) and maybe Age 9? Wait no, let's look at the plot again. The y - axis is Age (years) from 0 - 10, x - axis is Length (ft) 0 - 10. The main cluster is around Age 1 - 2, Length 5 - 7. Then there are points at Age 3 (Length 8), Age 4 (Length 9), Age 5 (Length 8), and Age 9 (Length ~5). Wait, maybe the three outliers are Age 3, Age 4, Age 5, and Age 9 is another? No, the option says "three outliers". Wait, perhaps the point at Age 9 is not considered, and the three outliers are Age 3, Age 4, Age 5. So the cluster is the group at Age 1 - 2, and three outliers (Age 3,4,5). So the correct option is "This scatter plot has one cluster and three outliers".

Answer:

The correct option is: "This scatter plot has one cluster and three outliers." (Assuming the option with this text is one of the choices, e.g., if it's the second option from the left, then the answer would be the corresponding option label with the text, like "The option: 'This scatter plot has one cluster and three outliers' is true.")