Question

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?

Answer 1

Answer:

A single outlier will make the value of the median to move slightly towards the outlier.

Step-by-step explanation:

Median simply means the middle number among a set of values when arranged in an ascending or descending order.

Now an outlier is a value that is much more smaller or much more larger than majority of other values in a given set of data.

Now, if the outlier is far greater than most other numbers in the set of data, it means that the median will slightly increase when we compare it to the median without the outlier.

Also, when the outlier is very small or far lesser than most other numbers in the set of values, it means the median will slightly decrease when we compare it to the median without the outlier.

Thus, in both cases, the median will move slightly towards the outlier.