Median is the middle data in the list of the given numbers. In the given data set the median gets decreased by the presence of the outlier. Thus, option C is correct.

<h3>What is an outlier?</h3>

An outlier is a data that varies significantly from the other data set, due to some error or measuring variability.

The median of the data without outlier is calculated as:

First, data is arranged in the ascending order: 105, 108, 109, 113, 118, 121, 124

Median = $\rm \dfrac{7 + 1 ^{th}}{2} term$

= 4th term

= 113

The median of the data with outlier is calculated as:

First, data is arranged in the ascending order: 61, 105, 108, 109, 113, 118, 121, 124

Median = $\rm \dfrac{(\dfrac{8}{2})^{th} + (\dfrac{8}{2} + 1)^{th}} {2}$

= (109 + 113) ÷ 2

= 111

Therefore, the outlier decreased the median.

Learn more about median here:

brainly.com/question/4541254

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2 years ago