Use the image to answer the 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)
Responses

3
3

2
2

4
4

1
1
Remaining Attempts : 3

1 answer

To find the median number of states visited by the students, we first list out how many students visited each number of states based on the bar chart's data:

  • 1 state: 8 students
  • 2 states: 4 students
  • 3 states: 3 students
  • 4 states: 2 students
  • 5 states: 1 student
  • 6 states: 1 student

Now we'll create a list that reflects the number of states visited by each student:

  • 8 students visited 1 state: 1, 1, 1, 1, 1, 1, 1, 1 (8 total)
  • 4 students visited 2 states: 2, 2, 2, 2 (4 total)
  • 3 students visited 3 states: 3, 3, 3 (3 total)
  • 2 students visited 4 states: 4, 4 (2 total)
  • 1 student visited 5 states: 5 (1 total)
  • 1 student visited 6 states: 6 (1 total)

If we list all these numbers, we have: 1, 1, 1, 1, 1, 1, 1, 1 (8 times) 2, 2, 2, 2 (4 times) 3, 3, 3 (3 times) 4, 4 (2 times) 5 6

Counting the total number of students: 8 + 4 + 3 + 2 + 1 + 1 = 19 students in total.

To find the median, we look for the middle value in the ordered list. Since there are 19 students (an odd number), the median will be the 10th number in the ordered list.

Listing these numbers in order, we have: 1 (8 times), 2 (4 times), 3 (3 times), 4 (2 times), 5, 6

  • 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6

The 10th number is 2.

Therefore, the median number of states visited by students in Mr. Morgan's class is 2.

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