Statistics are used in many different ways in the medical field. Mainly they are used to evaluate medical practice, the efficacy and safety of drugs and to assess diseases.
Data from many sources (e.g. primary care records, clinical trials, observational studies, etc) are analysed to create statistics. These statistics are then collected and evaluated to ultimately improve medical practice.
For more information on the use of statistics see http://www.medicalstatistician.com/
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evidence-based practice
application of statistics in engineering field
There are many reasons why statistics in are in important in a field of computer science. These statistics help improve computers.
Statistics are needed to analyze data and show which outcomes are significant.
In the medical field algebra is used mostly for calculating dosages for medications and in giving the proper amount. Basic algebra is used to also calculate vitals.