Question
An illustration shows a bar chart titled: Number of U. S. States Visited. The x-axis shows bars in terms of number of U. S. states visited and the y-axis shows number of students from 0 to 10 in increments of 2. The approximate values of bars are as follows: 1 state visited: 8 students, 2 states visited: 4 students, 3 states visited: 3 students, 4 states visited: 2 students, 5 states visited: 1 student, and 6 states visited: 1 student.
The graph shows the number of U.S. states Mr. Morgan’s students have visited. What is the median number of states students in Mr. Morgan’s class have visited?
(1 point)
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The graph shows the number of U.S. states Mr. Morgan’s students have visited. What is the median number of states students in Mr. Morgan’s class have visited?
(1 point)
Responses
1
1
4
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2
Answers
GPT-4o mini
To find the median number of states visited by the students, we first need to list all the students and the number of states they visited based on the data provided in the bar chart.
1. For 1 state visited: 8 students
2. For 2 states visited: 4 students
3. For 3 states visited: 3 students
4. For 4 states visited: 2 students
5. For 5 states visited: 1 student
6. For 6 states visited: 1 student
Now, let's create a list of all the students and their corresponding states visited:
- 8 students visited 1 state
- 4 students visited 2 states
- 3 students visited 3 states
- 2 students visited 4 states
- 1 student visited 5 states
- 1 student visited 6 states
Listing this out, we have:
1, 1, 1, 1, 1, 1, 1, 1 (8 students for 1 state)
2, 2, 2, 2 (4 students for 2 states)
3, 3, 3 (3 students for 3 states)
4, 4 (2 students for 4 states)
5 (1 student for 5 states)
6 (1 student for 6 states)
Now we have the following complete list of students based on states visited:
- 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6
Counting the total number of students:
8 (1s) + 4 (2s) + 3 (3s) + 2 (4s) + 1 (5) + 1 (6) = 19 students.
Since there are 19 students, the median will be the value of the 10th student (since the median is the middle value, and for an odd number of values, you take the middle number).
Counting to find the 10th number in the ordered list:
1, 1, 1, 1, 1, 1, 1, 1, 2, **2**, 2, 2, 3, 3, 3, 4, 4, 5, 6
The 10th student has visited **2 states**.
Therefore, the median number of states visited by Mr. Morgan's students is:
**2**
1. For 1 state visited: 8 students
2. For 2 states visited: 4 students
3. For 3 states visited: 3 students
4. For 4 states visited: 2 students
5. For 5 states visited: 1 student
6. For 6 states visited: 1 student
Now, let's create a list of all the students and their corresponding states visited:
- 8 students visited 1 state
- 4 students visited 2 states
- 3 students visited 3 states
- 2 students visited 4 states
- 1 student visited 5 states
- 1 student visited 6 states
Listing this out, we have:
1, 1, 1, 1, 1, 1, 1, 1 (8 students for 1 state)
2, 2, 2, 2 (4 students for 2 states)
3, 3, 3 (3 students for 3 states)
4, 4 (2 students for 4 states)
5 (1 student for 5 states)
6 (1 student for 6 states)
Now we have the following complete list of students based on states visited:
- 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6
Counting the total number of students:
8 (1s) + 4 (2s) + 3 (3s) + 2 (4s) + 1 (5) + 1 (6) = 19 students.
Since there are 19 students, the median will be the value of the 10th student (since the median is the middle value, and for an odd number of values, you take the middle number).
Counting to find the 10th number in the ordered list:
1, 1, 1, 1, 1, 1, 1, 1, 2, **2**, 2, 2, 3, 3, 3, 4, 4, 5, 6
The 10th student has visited **2 states**.
Therefore, the median number of states visited by Mr. Morgan's students is:
**2**