An outliner is a number on the set that is much lower or higher than all the other numbers.
In this case, if we add 11 to the given set. Then:
- The mean is always affected by an outliner because the mean is the average of the data set, with an extra value it will always be affected.
To find the mean we use the formula:
Where n is the total numbers in the data set.
- The set without the outliner has is odd. With an extra number, the set will be even. This could affect the median.
27,20,34,37,21,42,39
Organize from least to greatest:
20,21,27,34,37,39,42
The median represents the middle value in a data set.
To find the median is different when the set is even or odd.
The median is the middle number, in this case, the data set without the outliner is, 34.
20,21,27,34,37,39,42 ( The middle number)
Add the outliner, the mean will change:
11,20,21,27,34,37,39,42
The median is calculated using the average of both middle numbers: (27+34)/2 =29
Hence, the median is also affected.
Finally, the mode is the value that appears most frequently in a data set. In this case, there is no mode defined. Then, the outliner doesn't affect the mode.
In conclusion, the outliner will affect the mean and the median.
Hence, the correct answer is the third option.