Yes, they are.
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descritive statistics
Yes, they are.
Statistics is used to design the experiment (what type of data needs to be obtained and how much), then statistics is used to analyze the data (make inferences and draw conclusions).
Probability is related to statistics in a direct manner. When one is doing a research for statistics, probability has to be used especially in sampling a small region.
Quantitative research is empirical research that uses statistics, numerical data, and mathematics. It is used to answer problems that are not case specific and have a broader reach.