Question

08.06)Data are collected about the amount of time, in minutes, each member of a dance troupe spend practicing. How does a single outlier change the median of the collected data? A single outlier doubles the value of the median. A single outlier does not affect the median. A single outlier causes the value of the median to move slightly toward the outlier. A single outlier causes the value of the median to move slightly away from the outlier.

Answer 1

The correct answer is:

A single outlier causes the value of the median to move slightly toward the outlier.

Explanation:

Overall, outliers have very little effect on the median. However, they do affect it some.

If the outlier is a very large number, the median will slightly increase as compared to the data set without the outlier.

If the outlier is very small, the median will slightly decrease compared to the data set without the outlier.

In both instances, the median is moved slightly towards the outlier.