About 5% of home healthcare agencies show potential signs of fraud. More than 500 home healthcare agenciesâabout 5% of the totalâand 4,500 doctors across the country share characteristics that often point to home healthcare fraud, according to a report released by HHS' Office of Inspector General on Wednesday.
Statistics is a broad mathematical discipline which studies ways to collect, summarize, and draw conclusions from data. It is applicable to a wide variety of academic fields from the physical and social sciences to the humanities, as well as to business, government and industry.
Exactly as Gevorg says, we calculate statistics from the sample to make inferences about the parameters of the distribution. With respect to the idea of a sufficient statistic, informally a sufficient statistic is a complete summary of the information in a sample about some parameter of the distribution. From your example, if we assume that the variance of the Gaussian is known, then the sample mean is a sufficient statistic. If you know the sample mean, you have all the information in the sample about the population mean. If you don't know the variance, then the sample mean and the sample variance are sufficient.