# Statistic vs. Parameter

Main DifferencePeople 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.

## Difference Between Statistic and Parameter

#### Statistic vs. Parameter

The parameter describes or denotes the entire population, whereas statistic describes or denotes a fraction or sample from the whole.

#### Statistic vs. Parameter

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.

#### Statistic vs. Parameter

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.

#### Statisticadjective

alternative form of statistical

#### Parameternoun

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

#### Statisticnoun

A single item in a statistical study.

#### Parameternoun

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

#### Statisticnoun

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

#### Parameternoun

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

*Roughly, a tuple of arguments could be thought of as a vector, whereas a tuple of parameters could be thought of as a covector (i.e., linear functional). When a function is called, a parameter tuple becomes "bound" to an argument tuple, allowing the function instance itself to be computed to yield a return value. This would be roughly analogous to applying a covector to a vector (by taking their dot product (or, rather, matrix-product of row vector and column vector)) to obtain a scalar.*

#### Statisticnoun

A person, or personal event, reduced to being an item of statistical information.

*By dying from an overdose, he became just another statistic.*

#### Parameternoun

(programming) An actual value given to such a formal parameter (argument or actual parameter).

#### Statisticnoun

a datum that can be represented numerically

#### Parameternoun

A characteristic or feature that distinguishes something from others.

#### Parameternoun

(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.*

#### Parameternoun

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

#### Parameternoun

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

#### Parameternoun

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

#### Parameternoun

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

#### Parameternoun

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

## Comparison Chart

Statistic | Parameter |

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. |

### 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.