Find the three median x values that would form the summary points of the median median line for the dataset in the table.
X y
24.9 38
7.2 40
15.1 25
19.8 35
A) x1= 5.425, x2= 13.32, x3= 20.9
B) x1= 5.8, x2=14.7, x3= 20.55
C) x1= 9.5, x2=14.7, x3= 17.45
D) x1= 17.45, x2=14.7, x3= 9.5
C) x1= 9.5, x2=14.7, x3= 17.45
To find the three median x-values that would form the summary points of the median median line, we need to find the median of the x-values. Here are the steps:
1. Sort the x-values in ascending order:
7.2, 15.1, 19.8, 24.9
2. Determine the median of the x-values:
Since there is an even number of x-values, the median will be the average of the two middle values.
Median = (15.1 + 19.8) / 2 = 34.9 / 2 = 17.45
3. Repeat the steps for the y-values:
Sort the y-values in ascending order:
25, 35, 38, 40
Determine the median of the y-values:
Median = (35 + 38) / 2 = 73 / 2 = 36.5
4. Repeat step 1 with the y-values:
Sort the y-values in ascending order:
25, 35, 38, 40
5. Determine the median of the sorted y-values:
Median = (35 + 38) / 2 = 73 / 2 = 36.5
The three median x-values that would form the summary points of the median median line are:
17.45, 17.45, 17.45
Therefore, the correct answer is C) x1= 9.5, x2= 14.7, x3= 17.45