Ivan was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61

How is the median affected by the outlier?

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JimmyJohns33 JimmyJohns33 · Answer 1 · 2018-03-01T17:01:02+01:00

It make it 121 instead of 118 because there is an extra number and median is the middle of a data set so the number of numbers is important.

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aquialaska aquialaska · Answer 2 · 2019-05-17T19:30:33+02:00

Answer:

Median is decreased by the outlier or Outlier made median lower.

Step-by-step explanation:

First we calculate median of the data without an outlier:

Data in Ascending or increasing order ,

105 , 108 , 109 , 113 , 118 , 121 , 124

Now there are 7 terms so

Median = [tex]\frac{7+1}{2}^{th}\:term[/tex] = 4th term = 113

Now we find median of the data with outlier:

Data in ascending or descending order,

61 , 105 , 108 , 109 , 113 , 118 , 121 , 124

here no of terms are 8.

So, Median = [tex]\frac{(\frac{8}{2})^{th}+(\frac{8}{2}+1)^{th}}{2}[/tex]

= [tex]\frac{4^{th}+5^{th}}{2}=\frac{109+113}{2}[/tex]

= 111

So, Median is decreased by the outlier or Outlier made median lower.