Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:Group A (distance in miles) 1 1.5 3 3.2 2.8 1.5 1.8 2.5 2.2Group B (distance in miles) 2 2.5 3.2 3 1.8 2.4 3 1.5 1.8Which statement best compares the mean distances for the two groups? It is equal for Group A and Group B. It is greater for Group B than Group A. Its value for Group A is double its value for Group B. Its value for Group B is double its value for Group A.
Accepted Solution
A:
The mean distance for a group is the sum of individual numbers over the number of data. The mean distance of Group A is (1+1.5+3+3.2+2.8+1.5+1.8+2.5+2.2)/9=2.17 The mean distance of Group B is (2+2.5+3.2+3+1.8+2.4+3+1.5+1.8)/9=2.36. Therefore, the mean is greater for group B than group A, but not doubling.