Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment. Suppose that a new cancer drug is currently under study. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 cancer patients throughout their treatment. The following data (in months) are collected.
Researcher 1 Patients (in months):
| 3 | 4 | 11 | 15 | 16 | 17 | 22 | 44 | 37 | 16 | 14 | 24 | 25 | 15 | 26 | 27 | 33 | 29 | 35 | 44 |
| 13 | 21 | 22 | 10 | 12 | 8 | 40 | 32 | 26 | 27 | 31 | 34 | 29 | 17 | 8 | 24 | 18 | 47 | 33 | 34 |
Researcher 2 Patients (in months):
| 3 | 14 | 11 | 5 | 16 | 17 | 28 | 41 | 31 | 18 | 14 | 14 | 26 | 25 | 21 | 22 | 31 | 2 | 35 | 44 |
| 23 | 21 | 21 | 16 | 12 | 18 | 41 | 22 | 16 | 25 | 33 | 34 | 29 | 13 | 18 | 24 | 23 | 42 | 33 | 29 |
Find the mean and median of each group.
Compare and contrast the two groups.
Lee et al., Math in Society, §3.3 Summary Statistics: Measures of Center, Exercise 7