There are many reasons why statistics in are in important in a field of computer science. These statistics help improve computers.
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Algorithms are critical to the field of computer science. They embody the logic used to solve a problem. Written in words, they are (computer) language independent, and they allow peer/team review, so that a good design can result.
Statistics are needed to analyze data and show which outcomes are significant.
Demographics is entirely statistical in nature. It could be defined as the study of the statistics that are related to the human population.
For example, if you are developing a drug, you try it out on test subjects. Statistics can help you figure out if the drug is effective in treating a condition or if the drug is dangerous.
In the field of physics, statistics help people to identify various trends that point to a certain inference. Getting figures from different experiments and plotting a graph can show how each variable affects the other.