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 the age of the oldest patient seen by Doctor 2?
Back-to-back stem and leaf plots are shown.The stem and leaf plot is titled 'Ages of Doctor's Patients.'
· The middle of the stem and leaf plot contains a column of the numbers 3, 2, 1, and 0 from top to bottom. On either side of these numbers are vertical lines.
· To the left of the left vertical line is the title 'Doctor 1.' To the left of the 3 from the middle and on the left side of the vertical line are no numbers. To the left of the 2 from the middle and on the left side of the vertical line is 9, 2, and 0. To the left of the 1 from the middle and on the left side of the vertical line is 8,7, and 5. To the left of the 0 from the middle and on the left side of the vertical line is 9, 7, 3, 2, 1, and 1.
· To the right of the right vertical line is the title 'Doctor 2.' To the right of the 3 from the middle and on the right side of the vertical line is a 5. To the right of the 2 from the middle and on the right side of the vertical line is 0, 0, 2, 3, and 6. To the right of the 1 from the middle and on the right side of the vertical line is 3 and 7. To the right of the 0 from the middle and on the right side of the vertical line is 2, 2, 3, and 9.
The key identifies that 29 left-arrow 9 vertical line 2 vertical line 3 right-arrow means 23.
A. 34 years
B. 1 year
C. 6 years
D. 27 years
The oldest patient seen by Doctor 1 is 31 years old (the last digit on the left of the left vertical line is 1 and the stem is 3). The oldest patient seen by Doctor 2 is 35 years old (the first digit on the right of the right vertical line is 3 and the stem is 5). The difference between these ages is:
35 - 31 = 4
Therefore, the difference between the age of the oldest patient seen by Doctor 1 and the age of the oldest patient seen by Doctor 2 is 4 years. Answer: A. 4 years.
To find the difference between the age of the oldest patient seen by Doctor 1 and the age of the oldest patient seen by Doctor 2, we need to examine the stem-and-leaf plot.
Let's first analyze Doctor 1's side of the plot:
- The stem values on the left side are 3, 2, 1, and 0.
- The leaf values on the left side of each stem represent the ages of Doctor 1's patients.
- Looking at the numbers on the left side of the vertical line for each stem, we see the following ages: 9, 2, 0, 8, 7, 5, 9, 7, 3, 2, 1, 1.
Now let's analyze Doctor 2's side of the plot:
- The stem values on the right side are 3, 2, 1, and 0 (matching Doctor 1's side).
- The leaf values on the right side of each stem represent the ages of Doctor 2's patients.
- Looking at the numbers on the right side of the vertical line for each stem, we see the following ages: 5, 0, 0, 2, 3, 6, 3, 7, 2, 2, 3, 9.
To calculate the age of the oldest patient seen by each doctor, we look at the highest value on each side. From Doctor 1's side, the highest age is 9. From Doctor 2's side, the highest age is 9 as well.
Therefore, the difference between the age of the oldest patient seen by Doctor 1 and the age of the oldest patient seen by Doctor 2 is 9 - 9, which is equal to 0 years.
The correct answer is B. 0 years.
To find the difference between the age of the oldest patient seen by Doctor 1 and the age of the oldest patient seen by Doctor 2, we need to identify the highest age in each group.
From the given stem-and-leaf plots, let's look at the highest value on each side:
For Doctor 1:
- The highest value on the left side is found at the stem "3" with a leaf of "4".
For Doctor 2:
- The highest value on the right side is found at the stem "3" with a leaf of "5".
Now, we can find the difference between these two values:
Highest age seen by Doctor 1 = 34 years
Highest age seen by Doctor 2 = 35 years
Difference = Highest age seen by Doctor 2 - Highest age seen by Doctor 1
Difference = 35 years - 34 years
Difference = 1 year
Therefore, the difference between the age of the oldest patient seen by Doctor 1 and the age of the oldest patient seen by Doctor 2 is 1 year (Option B).