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You take a random sample of 100 students at your university and find that their average GPA is 3.1. If you use this information to help you estimate the average GPA for all students at your university, then you are doing what branch of statistics?
The Commissioner of Health in California State wanted to study malpractice litigation in Los Angeles last year. She randomly selected 32,000 medical records from the population of 3.5 million patients in Los Angeles last year. From this sample, she calculated the proportion of litigations, the average amount of money involved per litigation, and the proportion of litigations resulting in a conviction.
These calculations are all examples of doing statistics.