Struggling with statistics problems. They were assigned but not yet explained.

Question

What information can you obtain about the scores in a regular frequency distribution table that is not available from a grouped table?

Answer 1

The median--because the explicit list of X values can be ordered, and you can find the middle one (or compute it as the average of the two 'middle' values, in cases where n is even.

 

The mode--specifically not frequently occurring datum (or data, if there's a 'tie').

 

The mean--exact 'average.'

 

None of these can always be found in grouped data, which blurs the exactness of a distribution.