The dot plots below show the ages of students belonging to two groups of salsa classes:
A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Salsa Students in years. Group A shows 3 dots at 5, 4 dots at 10, 6 dots at 17, 4 dots at 24, and 3 dots at 28. Group B shows 6 dots at 7, 3 dots at 10, 4 dots at 14, 5 dots at 17, and 2 dots at 22.
Based on visual inspection, which group most likely has a lower mean age of salsa students? Explain your answer using two or three sentences. Make sure to use facts to support your answer. (10 points)
1 answer
Based on visual inspection, Group A most likely has a lower mean age of salsa students. This is because the majority of the dots in Group A are clustered around younger ages such as 5, 10, and 17, while in Group B, the majority of the dots are clustered around older ages such as 14, 17, and 22. Since the mean is influenced by extreme values, the younger ages in Group A suggest a lower overall mean age compared to Group B.
1 answer