the back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic one day. what is the difference between the age of the oldest patient seen by doctor 1 and doctor 2 using the mean and median of each data set
ages of Doctor's patients
------|3|5
---920|2|00236
---875|1|37
973211|0|2239
Key: means 29 <----9|2|3---->means 23
NEED HELP! ASAP!
I'm in CCA also and I need help! If someone can help quickly I would love the help! Thank you!!!!!
To find the difference between the age of the oldest patient seen by Doctor 1 and Doctor 2 using the mean and median of each data set, we need to follow these steps:
1. Determine the ages of the oldest patients seen by each doctor:
- For Doctor 1: The oldest patient's age is 37.
- For Doctor 2: The oldest patient's age is 29.
2. Calculate the mean of each data set:
- For Doctor 1: Calculate the mean by adding up all the ages and dividing by the total count of ages. In this case, there are 8 ages.
Mean = (3 + 5 + 20 + 20 + 23 + 23 + 23 + 29) / 8 = 166 / 8 = 20.75
- For Doctor 2: Calculate the mean using the same method. There are 8 ages in Doctor 2's data set as well.
Mean = (9 + 2 + 0 + 0 + 2 + 3 + 6 + 9) / 8 = 31 / 8 = 3.875
3. Calculate the median of each data set:
- For Doctor 1: The median is the middle value when the ages are arranged in ascending order. The ages in Doctor 1's data set are: 3, 5, 20, 20, 23, 23, 23, 29. The middle two values are 20 and 23, so we average them to find the median.
Median = (20 + 23) / 2 = 43 / 2 = 21.5
- For Doctor 2: Arrange the ages in ascending order: 0, 0, 2, 2, 3, 6, 9, 9. The median is the middle value, which here is 3.
4. Find the differences:
- Using the mean: The difference between the mean of Doctor 1's data and Doctor 2's data is (20.75) - (3.875) = 16.875.
- Using the median: The difference between the median of Doctor 1's data and Doctor 2's data is (21.5) - (3) = 18.5.
Therefore, the difference between the age of the oldest patient seen by Doctor 1 and Doctor 2, using the mean, is 16.875 years, and using the median, it is 18.5 years.