Question

the graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour. which statement is true about the songs played during the one - hour interval? most of the songs were between 3 minutes and 3.8 minutes long. most of the songs were 3.4 minutes long. most of the songs were less than 3.2 minutes long. most of the songs were more than 3.6 minutes long.

Explanation:

Step1: Analyze the normal distribution graph

In a normal distribution, the highest point of the curve represents the most frequent values. The graph shows that the peak is between \(3.2\) and \(3.8\).

Step2: Evaluate each option

• Option 1: Since the peak (where most data lies in a normal distribution) is between \(3\) and \(3.8\), this option is correct.
• Option 2: The graph shows a range (not a single value \(3.4\)) where most songs lie.
• Option 3: The peak is not on the left - side (less than \(3.2\)) part of the graph.
• Option 4: The peak is not on the right - side (more than \(3.6\)) part of the graph.

Answer:

Most of the songs were between 3 minutes and 3.8 minutes long.