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A data set is shown.



10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

Question
Move the options to the blanks to describe the effect removing the outlier, 35, will have on the data set.

Response area with 3 blank spaces
The mean of the data set will
Blank space 1 empty
.


The median of the data set will
Blank space 3 empty
.



The range of the data set will
Blank space 4 empty
.

Answer options with 3 options.

1 answer

Let's analyze the effect of removing the outlier (35) on the mean, median, and range of the data set.

  1. Mean: The mean is affected by extreme values (outliers). When we remove the outlier (35), the mean of the data set will decrease.

  2. Median: The median is less affected by outliers since it is the middle value of the ordered data set. Since the outlier (35) is at the high end of the data set, removing it will not change the position of the median. Therefore, the median of the data set will stay the same.

  3. Range: The range is calculated as the difference between the maximum and minimum values. By removing the outlier (35), the new maximum will be 17, while the minimum remains 10. Therefore, the range of the data set will decrease.

Now, we can fill in the blanks:

The mean of the data set will decrease.

The median of the data set will stay the same.

The range of the data set will decrease.