Question

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

Answer 1

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.

Answer 2

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 = $\frac{7+1}{2}^{th}\:term$ = 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 = $\frac{(\frac{8}{2})^{th}+(\frac{8}{2}+1)^{th}}{2}$

                   = $\frac{4^{th}+5^{th}}{2}=\frac{109+113}{2}$

                   = 111

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