The value of the median for the given set of data is [tex]\frac{15}{16}[/tex]. Median is the middle term of the data.
Median:
- For a set of statistical data, the center or middle value is given by its median.
- Median is the best method to find the center of the data set.
How to calculate the median for a set of data:
- Arrange the data in the ascending order
- Count the number of data items in the set
- If the count is even, then the median is the average of two centers obtained at [tex]\frac{n}{2}[/tex]
- If the count is odd, then the median is obtained at [tex]\frac{n+1}{2}[/tex]
- where n is the count
For the given set of data written in ascending order,
[tex]\frac{5}{8}[/tex], [tex]\frac{3}{4}[/tex], [tex]1\frac{1}{8}[/tex], [tex]1\frac{1}{4}[/tex]
Number of data values n = 4
Since it is even, taking the average of the two center value
that is,
Median = [tex]\frac{\frac{3}{4}+\frac{9}{8} }{2}[/tex]
= [tex]\frac{15}{16}[/tex]
Therefore, the median of the given data set is [tex]\frac{15}{16}[/tex].
Refer for more median problems here:
https://brainly.com/question/26046231
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