educational level

Hello!
Please, help me with the phrase “educational level” for this chart https://ielts911.com/wp-content/uploads/2018/06/image_20-1024×768.png
Can I use it in the sentence like that:
“The number of men and women teachers in different types of educational establishments was opposite regarding their educational level”.
I want the “educational level” to refer to the types of educational settings, that is: Nursery, College, University (in the chart), but it seems to me, it sounds like I refer to the educational level of the teachers.
Is there a better way to write the sentence, but not to lose the meaning of opposition between the teachers’ gender and the level of settings?
And secondly, is there a difference between “education level” and “educational level”? For example:
“Education in Iceland is free of charge, but students at the upper secondary and higher education levels pay registration fees.”
“Women had a higher educational level than men.”
Does “education level” refer to the level of settings and “educational” – to the education that a person has in general?

Generally speaking, jobs that require high levels of education and skill pay higher wages than jobs that require few skills and little education. Statistics from the Department of Labor’s Bureau of Labor Statistics (BLS) validate this viewpoint by revealing that the unemployment rate among people who have a professional degree is significantly lower than that of people who have a high school diploma or less than a complete high school education. In addition, earnings increase significantly as a worker’s degree of education rises.
Equal Pay and Compensation Discrimination – Equal pay provisions prohibit sex-based wage differentials between men and women employed in the same establishment who perform jobs requiring equal effort, skill, and responsibility. These provisions are enforced by the Equal Employment Opportunity Commission (EEOC).

References:

http://www.dol.gov/general/topic/wages/educational
http://www.ego4u.com/en/read-on/countries/usa/school