The number of lattes sold daily for a coffee shop is shown in the table:

Lattes
55
52
56
48
57
20
45
41

Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?

the difference between the median of the data, including the outlier and excluding the outlier is 2.

The data set with the outlier is 20 , 41 , 45 , 48 , 52 , 55 , 56 , 57 ; Meaning the median falls in between 48 and 52, which is 50.

Then the data set without the outlier is 41 , 45 , 48 , 52 , 55 , 56 , 57 ; Making the median here 52.

So,

= 52 - 50

= 2

Learn more: link

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction