Question

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? the outlier slightly affected the median. the outlier made the median higher than all the other values. the outlier made the median lower than all the other values. the median is the exact same number in both data sets.

Answer 1

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.

What is an outlier?

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:

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Answer 2

Answer:

c. The outlier made the median lower than all the other values.

Explanation: