The outlier is value which lies like oddly outside from the group.
Here, the difference between the median of the data with outlier and without outlier is given by: Option D: 0.5
<h2>Given that:</h2>
Numbers of lattes sold daily for two coffee shops are:
12, 52, 93, 33, 51, 15, 46 ,45
<h3>To find:</h3>
Difference between median with outlier included and median with outlier excluded.
<h3>Finding median with outlier:</h3>
Firstly data sorting (ascending or descending) is necessary:
12, 15, 33, 45, 46, 51, 52, 93
There are in total 8 observations. Middle two values are 45 and 46 so median will be any number between 45 and 46 but for standard, we take mean of those two values:
Median = (45+ 46)/2 = 45.5
<h3>Finding median without outlier:</h3>
Since 93 is extra far from all the observations, thus, it can be taken as outlier.
Removing that, we will be left with:
12, 15, 33, 45, 46, 51, 52
The median is the middle value 45
Thus:
Difference between median with outlier and median without outlier = 45.5 - 45 = 0.5
Thus, the difference between the median of the data with outlier and without outlier is given by: Option D: 0.5
Learn more about median here:
brainly.com/question/10410572
