categorical data is a qualitative variable in which no mathematical operations can be done such as addition,subtraction,multiplication,division only we are able to compare (<,> or =) whereas NUMERICAL data is quantitative variable in which all mathematical operations can be done such as addition ,subtraction, multiplication,division even comparison too can be done.
examples of categorical data is- name,gender,rank,mobile no., jersey no.(of sports player),etc
examples of numerical data is -weight,height, time, number of things etc.
i hope this will help u guys :-)