# Statistic vs. Parameter

People often intermix with the terms like statistic and parameter, which are widely used in the statistics language. Before hurling to these concepts, one needs to know more about the statistics, which holds both the concepts, parameter and statistic into it. The statistics is the branch of mathematics which deals with the collection, analysis, interpretation, and presentation of masses of numerical data. The terms statistic and parameter can be differentiated as the parameter describes or denotes the entire population, whereas statistic describes or denotes a fraction or sample from the whole. With this definition, we can derive that in statistic we do an analysis of the large population, on the other hand, in parameter we usually analyze the small populations as each of them can be measured in it. ## Key Differences

The statistic is variable which totally relies on the samples taken from the population while the parameter is the fixed and more accurate value as we examine the entire population in it.
In parameter we came across the small population, in which each can be measured. On the other hand, in statistic we came across the large population as just samples out the whole are analyzed in this case.
The parameter describes or denotes the entire population, whereas statistic describes or denotes a fraction or sample from the whole.

## Comparison Chart

### .

The statistic is the numerical value we get after obtaining the sample data from the entire population.
The parameter is the numerical value we get in statistics after evaluating or all analyzing all the elements present in the entire population.

### Population

In statistic we came across the large population as just samples out the whole are analyzed in this case.
In parameter we came across the small population, in which each can be measured.

### Accuracy

The statistic is variable which totally relies on the samples taken from the population.
The parameter is the fixed and more accurate value as we examine the entire population in it.

## Statistic and Parameter Definitions

#### Statistic

A numerical piece of information.

#### Parameter

A constant in an equation that varies in other equations of the same general form, especially such a constant in the equation of a curve or surface that can be varied to represent a family of curves or surfaces.

#### Statistic

A calculated numerical value (such as the sample mean) that characterizes some aspect of a sample set of data, and that is often meant to estimate the true value of a corresponding parameter (such as the population mean) in an underlying population.

#### Parameter

One of a set of independent variables that express the coordinates of a point.

#### Statistic

One viewed solely as a piece of statistical or numerical information
Got laid off and became another statistic in the slumping economy.

#### Parameter

One of a set of measurable factors, such as temperature and pressure, that define a system and determine its behavior and are varied in an experiment.

#### Statistic

Alternative form of statistical

#### Parameter

Usage Problem A factor that restricts what is possible or what results
"all the parameters of shelter—where people will live, what mode of housing they will choose, and how they will pay for it" (New York).

#### Statistic

A single item in a statistical study.

#### Parameter

A factor that determines a range of variations; a boundary
An experimental school that keeps expanding the parameters of its curriculum.

#### Statistic

A quantity calculated from the data in a sample, which characterises an important aspect in the sample (such as mean or standard deviation).

#### Parameter

(Statistics) A quantity, such as a mean, that is calculated from data and describes a population.

#### Statistic

A person, or personal event, reduced to being an item of statistical information.
By dying from an overdose, he became just another statistic.

#### Parameter

Usage Problem A distinguishing characteristic or feature.

#### Statistic

Of or pertaining to statistics; as, statistical knowledge; statistical tabulation.

#### Parameter

A value kept constant during an experiment, equation, calculation, or similar, but varied over other versions of the experiment, equation, calculation, etc.

#### Statistic

A datum that can be represented numerically

#### Parameter

(sciences) A variable that describes some system (material, object, event, etc.) or some aspect thereof.

#### Parameter

(statistics) Any measured quantity of a statistical population that summarises or describes an aspect of the population.

#### Parameter

(machine learning) A variable of a model that is trained by a machine learning algorithm.

#### Parameter

(programming) An input variable of a function definition, that gets an actual value (argument) at execution time.

#### Parameter

An actual value given to such a formal parameter.

#### Parameter

A characteristic or feature that distinguishes something from others.

#### Parameter

(geometry) In the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.
The parameter of the principal axis of a conic section is called the latus rectum.

#### Parameter

(crystallography) The ratio of the three crystallographic axes which determines the position of any plane.

#### Parameter

(crystallography) The fundamental axial ratio for a given species.

#### Parameter

A constant number which is part of a theory, function, or calculation, whose value is not determined by the form of the theory or equation itself, and may in some cases be arbitrary assigned.

#### Parameter

A term applied to some characteristic magnitude whose value, invariable as long as one and the same function, curve, surface, etc., is considered, serves to distinguish that function, curve, surface, etc., from others of the same kind or family.

#### Parameter

Any constant number which is required to calculate values of observed phenomena according to a theory, but the value of which must be determined by experiment, and cannot be calculated from the fundamental assumptions of the theory. In general, a theory which has a large number of parameters, though it may accurately predict experimental results, is considered as having less explanatory power and as being less esthetically pleasing than a theory with fewer parameters.

#### Parameter

The ratio of the three crystallographic axes which determines the position of any plane; also, the fundamental axial ratio for a given species.

#### Parameter

The limits, guidelines, or assumptions from within which an activity is carried out; as, new arrivals need to learn the parameters of the research in our department.

#### Parameter

A variable used in a calculation within a computer program which must be assigned a value before the calculation can be performed; as, let's plug in the parameters and see what the result is.

#### Parameter

A characteristic or element, especially one used as a criterion for evaluation or judgment; as, a useful parameter for determining efficiency.

#### Parameter

A constant in the equation of a curve that can be varied to yield a family of similar curves

#### Parameter

Any factor that defines a system and determines (or limits) its performance

#### Parameter

A quantity (such as the mean or variance) that characterizes a statistical population and that can be estimated by calculations from sample data

### What is Statistic?

The statistic is the numerical value we get after obtaining the sample data from the entire population. In this we analyze large values by taking samples out of them. The samples we obtain and use represent the entire population. The sample taken from the entire population for knowing the statistics is known as the fraction of the population as in this the data is collected from some elements present in the population, but it stands for the entire population. In some cases while making the results about certain population we take multiple samples so we can get the better representation of the whole population. The results taken from each of the samples in this case are quite different to each other. When we have to figure out that whether it is that statistic or the parameter of the population, we need to follow a simple rule. When there is the large population in which every element can’t be measured individually it is the statistic. For instance, when we say that 60% of US residents disagree with the Trump’s latest ban on Muslims. That means we have got the results through statistics as each and every individual’s opinion is not taken over the matter, the different samples taken from the entire population are analyzed in the case.

### What is Parameter?

The parameter is the numerical value we get in statistics after evaluating or all analyzing all the elements present in the entire population. The parameter is the fixed and more accurate value as compared to the statistic as in this entire population is surveyed. At the very same time, the parameter is the time-taking process as it is the descriptive measure of the entire population so that means they cannot be directly calculated on the basis of samples within the population. The samples analyzed in this are not based on estimation, and the values are deduced comprehensively from each and every of the samples that sum up to the entire population. Generally in the parameter we deal with the small population so that each and every of the element is analyzed. Although, in census we measure using the process of the parameter. Even though in census sometimes there is large population, but each and every of them is surveyed. That is why the census is time-taking data analyzing processes.