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Quantitative observations are the data collected in an experiment, mostly numbers. Qualitative observations would usually include written answers to analysis questions.
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Quantitative measurements are those which involve the collection of numbers. It is the opposite of qualitative data which are observations. For example, if you were interested in looking at height. Quantitative measurements would be taking an accurate measurement of everyone. Qualitative data would be looking at the person and putting them into a category of 'tall,' 'medium,' 'short.'
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.