Question

the two scatter plots below show the same data set. choose the scatter plot in which the outlier is highlighted.

Explanation:

Step1: Recall Outlier Definition

An outlier is a data point that is far from the main cluster of points.

Step2: Analyze Left Scatter Plot

In the left plot, the red dot is within the upper - right cluster? No, wait, looking at the y - axis: the main cluster has lower y - values (around 10 - 40, then 60 - 80). The red dot in the left plot is at (90, 80)? Wait, no, the right plot: the red dot is at (10, 95) or so? Wait, no, let's re - examine. The right scatter plot: the red dot is far from the main group of points (the main points are lower in y - axis, around 10 - 40, then 60 - 80, but the red dot is at high y - value (around 95) and low x - value (around 10), which is far from the main cluster. In the left plot, the red dot is within the upper - right cluster (x around 90, y around 80, and there are other points around 60 - 80 x and 60 - 80 y). Wait, no, the right plot's red dot is at (10, 95) maybe? Wait, the left plot: the red dot is at (90, 80), and there are points at (60, 60), (70, 45), (70, 60), (80, 70), (80, 65). So the red dot at (90, 80) is close to that cluster. The right plot's red dot is at (10, 95), which is far from the main cluster (main cluster is x from 10 - 30, y 10 - 30; then x 60 - 90, y 40 - 80). So the right scatter plot has the outlier highlighted. Wait, no, the problem says "the two scatter plots below show the same data set. Choose the scatter plot in which the outlier is highlighted." An outlier is a point that doesn't follow the general trend. Let's see the data: most points are in two clusters? Wait, no, the main trend: in the left plot, the red dot at (90, 80) – but in the right plot, the red dot is at (10, 95) which is far from the main group. Wait, maybe I got it wrong. Wait, the left plot: the red dot is at (90, 80), and the other points around x = 60 - 90, y = 40 - 80. The right plot: the red dot is at (10, 95), and the other points: x = 10 - 30, y = 10 - 30; x = 60 - 90, y = 40 - 80. So the red dot in the right plot is an outlier (far from both clusters), while the red dot in the left plot is within the upper - right cluster. So the scatter plot with the outlier highlighted is the right one? Wait, no, the left plot's red dot: let's count the points. Left plot: x from 0 - 100, y from 0 - 100. Points: x = 10 - 30, y = 10 - 30 (a cluster); x = 60 - 90, y = 40 - 80 (another cluster); and a point at x = 10, y = 95 (maybe? Wait, the left plot has a point at x = 10, y = 95 (pink) and a red dot at x = 90, y = 80. The right plot has the red dot at x = 10, y = 95. So the outlier is the point at x = 10, y = 95, which is highlighted in the right scatter plot.

Answer:

The Right Scatter Plot