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 curve

In a normal distribution (bell - shaped curve), the highest point of the curve represents the most frequently occurring values.

Step2: Check the intervals

• The curve peaks between \(3\) and \(3.8\) minutes.
• Option 2: A single value (\(3.4\) minutes) is not correct as the distribution is over an interval.
• Option 3: The peak is not less than \(3.2\) minutes.
• Option 4: The peak is not more than \(3.6\) minutes.

Answer:

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