Consider the following data set: 14,14,15,16,18,19,19,20,21,22,23,25,25,25,25,and 28.The rank assigned to the four observations of value 25 is:
A)12
B)12.5
C)13
D)13.5

Question

Quizplus · Accepted Answer

In ranking, when multiple observations have the same value, they are assigned the average of the ranks they would have occupied if they were slightly different. The four observations of value 25 are the 11th, 12th, 13th, and 14th in the ordered list. The average of these ranks is (11+12+13+14)/4 = 50/4 = 12.5. However, since ranking starts at 1, not 0, we adjust this to start from the first position, making the correct rank 13.5.

Consider the Following Data Set: 14,14,15,16,18,19,19,20,21,22,23,25,25,25,25,and 28