find central tendency

#1
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

Active Member
#2
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.
 
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