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Quantitative means that it is concerned with how much. Qualitative means that it is only concerned with the kind. And example of quantitative would be the number of trees in a park, and an example of qualitative would be whether you have blue eyes or brown eyes.
If you mean qualitative and quantitative data, then data would be dealing with numbers to describe a statistical analysis whereas qualitative represents things that cannot be expressed as numbers such as color.
Quantitative observations are the data collected in an experiment, mostly numbers. Qualitative observations would usually include written answers to analysis questions.
A quantitative assessment involves numbers. This says 45% so it is quantitative. Qualitative would involve a description: fairly efficient, very efficient or more efficient than before.