Question

which of the following points, if added to the table, would be an outlier? (7,73) (7.5,70) (8,35) (8.5,66)

Explanation:

Step1: Analyze the relationship between \(x\) and \(y\)

Looking at the table, as \(x\) increases, \(y\) generally decreases. The \(y -\)values range from \(60\) to \(71\) for the given \(x -\)values (\(6\) to \(9.5\)).

Step2: Check each option

• For \((7,73)\): When \(x = 7\), the original \(y\) value is \(68\). The difference \(|73 - 68|=5\).
• For \((7.5,70)\): When \(x = 7.5\), original \(y\) values are \(69\) and \(65\). The differences \(|70 - 69| = 1\) and \(|70 - 65|=5\).
• For \((8,35)\): When \(x = 8\), the original \(y\) value is \(63\). The difference \(|35 - 63|=28\).
• For \((8.5,66)\): When \(x = 8.25\), \(y\) values are \(62\) and \(64\). The difference \(|66 - 62| = 4\) and \(|66 - 64|=2\).

Answer:

\((8,35)\)