Give an example of each: continuous data and discrete data.
Continuous: Height, weight, annual income.
Discrete: Number of children, number of students in a class.
Continuous data (like height) can (in theory) be measured to any degree of accuracy. If you consider a value line, the values can be anywhere on the line. For statistical purposes this kind of data is often gathered in classes (example height in 5 cm classes).
Discrete data (like number of children) are parcelled out one by one. On the value line they occupy only certain points. Sometimes discrete values are grouped into classes, but less often.