find central tendency

[hornet]

The following table presents frequency distribution of teachers of 1 year:

Rank Frequency
Professor 32511
Assoc Professor 28570
Asst Professor 59277
Instructor 14289
Others 3276


1)find mean, median and mode.
2)which is better measure of Central tendency: mean or median or mode ?Explain with reason.

 

[AngleWyrm]

What has gone unstated is a mapping of Rank to a numerical value. So here I provide such a mapping:

1. Other
2. Instructor
3. Assistant Professor
4. Associate Professor
5. Professor

Then it's possible to state the mean rank/teacher, and the median point where half of teachers have a higher/lower rank, as well as the mode of which rank contains the most teachers.