Question

For the following​ distribution, decide whether you expect the​ mean, median, or mode to give the best representation of the center of the​ distribution, and explain why.

Per capita earnings in New York City.
Choose the correct answer below.
A.
The median because it is unaffected by outliers.
B.
The mode because there can be more than one.
C.
The median because it is easier to calculate.
D.
The mean because it will find the average earnings for everyone in New York City.
E.
The mean because it is the most commonly understood measure of center.
F.
The mode because it will find the most common per capita​ earning(s) in New York City.

Answer 1

The median because it is unaffected by outliers.

Explanation:

While mean is one of the most well known and used central tendency measurements, it has some weaknesses. Mean will show inaccurate data if there are outliers that have a very huge/small value. Income is one of the things that can hugely vary among people. A billionaire can pull the data up and make the mean show result that higher than it should be. In this case, the median is better to show the data. The mode is used for nominal data, while income is ordinal.