a study was conducted of all 1849 students in a certain country.whether the value is parameter or statistics
If the study is of all members of the group for which conclusions will be made, it is a parameter. If of only a portion, it is a statistic.
In order to determine whether the value is a parameter or a statistic, we need to understand the definitions of these terms.
A parameter is a numerical characteristic of a population, which is the entire group of individuals or objects of interest. Parameters are usually denoted by Greek letters, such as μ (mu) for the population mean and σ (sigma) for the population standard deviation. However, unlike statistics, we cannot easily observe or measure parameters directly because it is often not feasible or practical to collect data from an entire population.
On the other hand, a statistic is a numerical characteristic of a sample, which is a subset of the population. Statistics are usually denoted by English letters, such as x̄ (x-bar) for the sample mean and s for the sample standard deviation. Statistics are calculated from sample data and are used to estimate or make inferences about population parameters.
In the given scenario, a study was conducted on all 1849 students in a certain country. Since the study included the entire group of interest (population), the values obtained from this study, such as the mean or standard deviation, would be parameters. This is because the study was able to collect data from the entire population, and the calculated values would represent characteristics of the entire group of students in that country.