To find the median median line, we first need to find the median of the x-values and the median of the y-values.
The median of the x-values is 3.5, and the median of the y-values is 3.5.
Next, we need to find the equation of the line that passes through the point (3.5, 3.5) and the median of the slope of the four lines that can be drawn between each pair of points in the dataset.
The four lines that can be drawn are:
- From (2,1) to (3,4)
- From (2,1) to (4,6)
- From (2,1) to (5,3)
- From (3,4) to (5,3)
The slopes of these lines are (4-1)/(3-2) = 3, (6-1)/(4-2) = 2.5, (3-1)/(5-2) = 0.67, and (3-4)/(5-3) = -0.5.
The median of these slopes is (2.5 + 0.67) / 2 = 1.585.
So, the equation of the median median line is y - 3.5 = 1.585(x - 3.5). Simplifying, we get y = 1.585x - 2.1975.
Therefore, the slope of the median median line is 1.585, which is closest to option C) m=1.1111.
Find the slope of the median median line for the dataset.
X y
2 1
3 4
4 6
5 3
A) m=-0.8889
B) m=1
C) m=1.1111
D) m=1.1481
1 answer