Answer:
[tex]Median = 11[/tex]
Explanation:
Given
[tex]10\ 14\ 17\ 19\ 24\ 35\ 37\ 7\ 5\ 8\ 12\ 3\ 9\ 4[/tex]
Required
The median
First, count the number of observation
[tex]n = 14[/tex]
Arrange the data in ascending order:
[tex]Sorted: 3\ 4\ 5\ 7\ 8\ 9\ 10\ 12\ 14\ 17\ 19\ 24\ 35\ 37[/tex]
The median position is:
[tex]Median =\frac{n + 1}{2}th[/tex]
[tex]Median =\frac{14 + 1}{2}th[/tex]
[tex]Median =\frac{15}{2}th[/tex]
[tex]Median = 7.5th[/tex]
This means that the median is the average of the 7th and 8th item.
[tex]Median = (10 + 12)/2[/tex]
[tex]Median = 22/2[/tex]
[tex]Median = 11[/tex]
