Question

Which line plot has a median value of 4?(1 point)
Responses

X
X X
X
X X
X
X
X X
X
X X
1 2 3 4 5
X X X X X X X X X X X X X 1 2 3 4 5

X
X
X X
X
X
X X
X
X
X X X
1 2 3 4 5
X X X X X X X X X X X X X 1 2 3 4 5

X X X
X
X
X X
X
X
X X
X
X
1 2 3 4 5
X X X X X X X X X X X X X 1 2 3 4 5


X X
X X
X
X
X X
X
X X
X
X
1 2 3 4 5
X X X X X X X X X X X X X 1 2 3 4 5

Answer 1

To determine which line plot has a median value of 4, we need to look at the number of data points and their distribution.

1. For the first plot:
- Data points: 1s (4), 2s (4), 3s (3), 4s (3), 5s (0)
- Median: The middle value when all data points are sorted.
- Here, we have 14 points total, so the median will be the average of the 7th and 8th values. The sorted values are:
- 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5
- It follows that between the 7th and 8th positions, the median is 3 and 3.5.

2. The second plot:
- Data points: 1s (3), 2s (3), 3s (3), 4s (3), 5s (2)
- Median: There are also 14 data points.
- When sorting, we have:
- 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5
- The 7th and 8th values are both 3s, making the median 3.

3. The third plot:
- Data points: 1s (3), 2s (4), 3s (3), 4s (2), 5s (2)
- Median: Again, 14 total values.
- The sorted list:
- 1, 1, 1, 2, 2, 2, 2, 3, 3, 3
- The 7th and 8th values here are 2 and 3, which gives us a median of 2.5.

4. The fourth plot:
- Data points: 1s (2), 2s (3), 3s (3), 4s (4), 5s (2)
- Median: Still 14 total.
- The sorted numbers list is:
- 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5
- The 7th and 8th values here are both 3s, leading to a median of 3.

None of the provided plots have a median value of 4. Please review the plots and provide more options if needed.