Question

the graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour. play times of songs (minutes) 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 graph peak

The peak of the distribution is between 3.4 - 3.6 minutes, but most of the data is concentrated between 3 - 3.8 minutes.

Step2: Check each option

• Option 1: Most of the data (area under the curve) is between 3 - 3.8 minutes, so this option is valid.
• Option 2: It's not that most songs are exactly 3.4 minutes long, just that the peak is around there.
• Option 3: Most songs are not less than 3.2 minutes long as the peak is higher for values above 3.2.
• Option 4: Most songs are not more than 3.6 minutes long as the data is more spread out below 3.6.

Answer:

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