In general, if you have data from the entire population, you should use population standard deviation. If you have data from a sample of the population, you should use sample standard deviation.
explain in detail what mean data from entire population and smpale of population provide exmaple
Mean data from the entire population refers to having information about every individual or data point within a specific group or population. This could include data on every student in a school, every employee in a company, or every household in a city. When you have data from the entire population, you can calculate the population mean and population standard deviation to accurately describe the central tendency and variability of the data.
For example, let's say you have information on the salaries of every employee in a company. You can calculate the population mean, which represents the average salary of all employees, and the population standard deviation, which indicates the spread or variability of salaries within the company.
On the other hand, if you have data from only a sample of the population, it means you have information on a subset of individuals or data points within the larger group. This could involve surveying a random group of students in a school, conducting interviews with some employees in a company, or sampling households in a city. When you have data from a sample, you can calculate the sample mean and sample standard deviation to estimate the population parameters.
Continuing with the previous example, let's say you have surveyed a random sample of employees in the company to gather salary information. You can calculate the sample mean, which estimates the average salary of the entire company based on the sample, and the sample standard deviation, which provides an estimate of the variability of salaries within the company.
In summary, mean data from the entire population provides a more accurate representation of the population characteristics, while data from a sample of the population allows for making inferences about the larger group based on a subset of data. Choosing the appropriate standard deviation (population or sample) depends on whether you have data from the entire population or just a sample.