Answer:
Doctor 1 :
Mean = 12
Median = 12
Doctor 2 :
Mean = 16
Median = 18.5
Step-by-step explanation:
Data from the stem and leaf plot :
Doctor 1:
Age of the patients ( from the center to the left side )
1, 1, 2, 3, 7, 9, 15, 17, 18, 20, 22, 29
Mean age of patients :
Sum. Of ages / number of patients
= 144 / 12
=12
Median = 0.5(n+1)th term
n = 12
Median = 0.5(12 + 1)th term = 6.5th term
= (6th + 7th term)/2
= (9 + 15)/2
= 24/2 = 12
Doctor 2 :
patients mean age : (from the center to the right)
2, 2, 3, 9, 13, 17, 20, 20, 22, 23, 26, 35
n = 12
Mean = Sum of ages/ n
= 192/12
= 16
Median = 0.5(12 + 1)th term = 6.5th term
Median = (6th + 7th term)/2
= (17+20)/2
= 37/2 = 18.5
The mean age and the median age of doctor 2's patient is greater than the mean age of doctor 1
From the complete question, we have the following data
The mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
Doctor 1:
[tex]\bar x_1 = \frac{144 }{12} =12[/tex]
Doctor 2:
[tex]\bar x_2 = \frac{192}{12} =16[/tex]
By comparison, the mean age of doctor 2's patient is greater than the mean age of doctor 1
The median is the middle element, and it is calculated as:
[tex]Median = \frac 12(n +1)\th[/tex]
For both doctors, n = 12.
So, we have:
[tex]Median = \frac 12(12 +1)\th[/tex]
[tex]Median = 6.5th[/tex]
This means that the median is the mean of the 6th and the 7th elements.
For doctor 1, we have:
[tex]M_1 = \frac12 * (9 + 15) = 12[/tex]
For doctor 2, we have:
[tex]M_2= \frac12 * (17+20) = 18.5[/tex]
By comparison, the median age of doctor 2's patient is greater than the mean age of doctor 1
Read more about stem and leaf plots at:
https://brainly.com/question/12276901
