Question

identifying clusters and outliers in a table
leah claims the data in the table contains a cluster. why is leahs statement true?
there is no obvious outlier.
the y - values are steadily increasing as the x - values are decreasing.
the data contains a group of closely occurring points.
leahs statement is not true.

Explanation:

A cluster in data refers to a group of closely - occurring points. In the given table, the points \((35,439)\) and \((35,440)\) are very close (same \(x\) - value and \(y\) - values differ by 1). Also, the points \((44,615)\) is an outlier (so the first option is wrong). The \(y\) - values are not steadily increasing as \(x\) - values are decreasing (for example, when \(x\) increases from 39 to 44, \(y\) first has a large increase then a decrease). Since there are groups of closely - occurring points (like the two points with \(x = 35\)), Leah's claim is true.

Answer:

The data contains a group of closely occurring points.