Outliers and Scatter Plots

Imagine Ava, Daniel, and Anika are analyzing a scatter plot for their science project. They come across a data point that doesn't seem to fit with the rest. What would they call this?

• A data point that is significantly different from other data points.

• A data point that is similar to other data points.

• A data point that is not plotted correctly.

• A data point that is not relevant to the scatter plot.

Mia, Lily, and Scarlett are having a friendly competition to see who can identify outliers in a scatter plot the best. How can they spot these outliers?

• By looking for data points that are huddled up close to the main cluster of points, like penguins in the cold.

• By identifying data points that are playing 'copycat' with the main cluster of points.

• By focusing on data points that are hogging the spotlight in the center of the scatter plot.

• By observing data points that are playing 'hide and seek', significantly distant from the main cluster of points.

Arjun, Abigail, and Luna are having a debate. Arjun says a scatter plot is used to show the distribution of a single variable, Abigail thinks it's to compare the means of two groups, Luna believes it's to display the trend over time. But, who is correct? What is the actual purpose of a scatter plot?

• To show the distribution of a single variable.

• To compare the means of two groups.

• To display the trend over time.

• To display the relationship between two variables.

Zoe, Avery, and Aria are trying to understand the relationship between two variables in a scatter plot. How can they interpret this relationship?

• They can interpret the relationship by observing the pattern or trend of the plotted points.

• They can interpret the relationship by measuring the distance between the plotted points.

• They can interpret the relationship by looking at the color of the plotted points.

• They can interpret the relationship by connecting the plotted points with straight lines.

What is the outlier in the scatter plot?

• (30, 12)

• (1, 2)

• (40, 1)

• No outlier

What is the outlier in the scatter plot?

• (10, 45)

• (9, 20)

• (1, 35)

• No outlier

What are the coordinates of the outlier?

• (1, 9)

• (9, 1)

• (5.2 ,3.2)

• (7.5, 7.5)

Are there any outliers?

• Yes, (45, 8).

• Yes, (40, 1).

• No.

Answer explanation

(45, 8) is an outlier because the point goes against the general negative pattern formed by the rest of the data.

Most students missed fewer questions the more they studied. However, this student studied a lot and missed a lot of questions.

Label the outlier.

Find all the outliers.