Question

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 12 52 93 33 51 15 46 45 Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier? 46 45. 5 45 0. 5.

Answer 1

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

Given that:

Numbers of lattes sold daily for two coffee shops are:

12, 52, 93, 33, 51, 15, 46 ,45

To find:

Difference between median with outlier included and median with outlier excluded.

Finding median with outlier:

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

Finding median without outlier:

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:

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