Statistics is one of the important branches of mathematics, and it deals with the collection, analysis, interpretation and presentation of data. A statistical parameter or more generally the population parameter is used to measure the probability distribution of a statistic, in other words, it involves the random variable. This statistic is treated as a numerical property of a statistical population or a statistical representation. Assume that we have a recorded or tabulated class of distributions. When the index is also a parameter of the classes’ members, then the group is parameterized.
Besides graphs, tables of numbers, statistics also involve using standard parameters to describe sets of numbers in Mathematics. There are two major divisions of these parameters. One part or group of parameters are used to measure how a set of numbers is centred around a particular point on a line scale in the data set. In other words, these are used where (around what value) the numbers bunch together. This category of parameters is called measures of central tendency, and they are mean median and mode. Another group of parameters measures deviation, an association of variables among the set of numbers.
Statistics are collections of mathematical equations used to investigate what is happening in the world around us. Today we live in the information era where we experience a numerous understanding regarding the world around us. We generally define the maximum of this information mathematically by employing statistics. When practised accurately, statistics tell us any past trends and predict what may happen in the future. For example weather forecasts, emergency preparedness, sports, player statistics, predicting disease, medical studies, genetics, consumer goods, quality analysis & testing and stock market etc.
Statistical parameters play an important role in determining the required output and drawing the conclusion for the given case or situation with the data set’s help. Also, statistics assist in interpreting the characteristics and pattern of variability of a phenomenon in quantitative measurements. Statistics helps in extracting valid deductions, along with a measure of their reliability on the statistical population parameters from the sample data. In the normal distribution graph, some of the parameters can be shown along with their relationship. Also, standard deviation helps us in identifying how the data is spread around the central tendency, or central value, i.e. whether the distribution is small or big. Such parameters are usually instrumental in the analysis.
Parameters in statistics are an essential component of any statistical analysis. A parameter is defined as any numerical quantity that describes a given population, sample or some character in simple words. This means statistical analysis: the parameter tells us something regarding the entire population. Various statistical investigations need distinct kinds of parameters for the characterization of the given data. In many of the simple cases, the mean or median parameter is a unique indication of the data. For example, if a teacher wants to examine the students’ performance in an examination, the median of the scores in the exam will be an excellent indication. In this way, statistical parameters can be used in many scenarios in our daily existence and mathematics.