The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set.

Doctor 1 Doctor 2
| 3 | 5
9 2 0 | 2 | 0 0 2 3 6
8 7 5 | 1 | 3 7
9 7 3 2 1 1| 0 | 2 2 3 9
Key: means 29 9|2|3 means 23

my rival

nope.

To compare the ages of patients seen by doctor 1 and doctor 2 using the mean, you need to find the average age of the patients in each dataset.

For doctor 1, we have the following ages: 39, 29, 20, 27, 25, 18, 17, 19, 19. To find the mean, add up all the ages and divide by the total number of ages.

(39 + 29 + 20 + 27 + 25 + 18 + 17 + 19 + 19) / 9 = 223 / 9 ≈ 24.78

The mean age of the patients seen by doctor 1 is approximately 24.78.

For doctor 2, we have the following ages: 32, 33, 36, 11, 13, 27, 17, 28, 29, 20, 20, 22, 23, 29. Similarly, to find the mean, add up all the ages and divide by the total number of ages.

(32 + 33 + 36 + 11 + 13 + 27 + 17 + 28 + 29 + 20 + 20 + 22 + 23 + 29) / 14 = 330 / 14 ≈ 23.57

The mean age of the patients seen by doctor 2 is approximately 23.57.

Now let's compare the ages using the median. The median is the middle value when the data is arranged in order. If there is an even number of data points, the median is the average of the two middle values.

For doctor 1, we already have the ages in order: 17, 18, 19, 19, 20, 25, 27, 29, 39. Since there are an odd number of ages, the median is the middle value, which is 20.

For doctor 2, we also have the ages in order: 11, 13, 17, 20, 20, 22, 23, 27, 28, 29, 29, 32, 33, 36. Again, since there are an odd number of ages, the median is the middle value, which is 23.

To summarize:
Doctor 1 - Mean: approximately 24.78, Median: 20
Doctor 2 - Mean: approximately 23.57, Median: 23

Therefore, based on the mean age, the patients of doctor 1 have a slightly higher average age compared to the patients of doctor 2. However, based on the median age, there is not much difference in the middle value of the ages for both doctors.