M07.D-S.2.1.1

The dot plots below show the ages of students belonging to two groups of painting classes:

A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Painting Students in years. Group A shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. Group B shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29.

Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Group A most likely has a lower mean age of painting students because the majority of students in Group A are clustered around ages 10-19, with the highest frequency at age 10. In contrast, Group B has a wider range of ages, with some students as old as 29, suggesting a higher mean age for this group.