How do i determine the class limits or class interval when only the midpoint and frequency is given?

Are the midpoints equally spaces out? You may have to assume they are unless you have more information. If so, say you have midpoints m1, m2, ..., mn

The lower class limit for, say, m7 would be (m6 + m7)/2
The upper class limit for m7 would be (m7 + m8)/2

Also, this means that you know the width of each class (the different between the upper class limit and the lower class limit). Say thats w. So the lower class limit for m1 is
m1 – w/2

And the upper class limit for mn is
mn + w/2

These are special cases since there is no m0 or m(n+1).

Thanks alot. Your answer was really helpful.

Can you tell me if i’m right:
Suppose the midpoint = 27

then the class interval will be 27.5—- 29.5
and the class boundaries will be 27.45—- 29.55