What Is The Difference Between Parameter And Statistic?

What Is The Difference Between Parameter And Statistic?

You are here to find out the difference between parameter and statistic, isn’t it? So let us know about it in very simple words. Today I will explain to you what is the difference between these two terms. You will come to know how is statistics differ from parameter in population? what is the meaning of the statistic vs parameter?You will be knowing every important point that you must be thinking about. So stay with me till the end and let us begin with the difference between parameter and statistic.

What’s The Difference Between Parameter And Statistic?

The important difference between parameter and statistic helps us to understand the population and sample of data. The numerical value that is determined from a study of population is related to the parameter,  whereas statistic is determined from the sample study.  

Let us know about each and everything related what is an important difference between statistics and parameters? We will discuss first the meaning of parameters and statistics.

What Is Parameter?

The parameter is a numerical value that describes the complete population. It helps us to know the measure of characteristics within the population easily. Every individual is involved in the consideration of the parameter.

Some parameter examples related to population are the birth rate of the given country, the number of unemployed people in a town, the people of the overweight from the country, etc.

What Is Statistic?

The statistic is considered as the value from a given population. The sampling is carried out for getting the statistical data. In statistics, a general record is analyzed by making assumptions to find the overall values.

Some of the statistic examples are feedback taken after attending an organized event, surveys from teenage students, clinical trials and studies on specific age groups, etc.

Let us see the difference between statistics and parameters in the following.

The Definition

Below I will describe the simple definition to explain the difference between a parameter and a statistic.

  • Parameter

A parameter is defined as it is a descriptive measure to understand the population. It is the data obtained from the entire population.

  • Statistic

A statistic is defined as it is a descriptive measure to understand the sample of a population. This data is obtained from a group of the population.

Now we will see some similarities and differences of parameter and statistic while reading in further important points.

The Size Difference

Here we will know about the size difference of parameter and statistic size.

  • Parameter

The parameter is used for representing the size of the population. The letter ‘N’ is used for indicating the total size of the population.

  • Statistic

The statistic is used for representing the size of the sample of the population. The letter ‘n’ is used for indicating the total size of the sample. Now let us know whether it is easy to measure a population by parameter or sample. 

The Measurement Difference

The measure is important to know the difference between parameter and statistic in statistics.

  • Parameter

It is sometimes difficult to measure a parameter. Every individual value is measured in the parameter, hence it requires more time and is impossible in a few situations.

  • Statistic

The statistic can be measured every time. Sample or units in the statistic are easy to consider as the overall value is calculated.

The mean, variance, and standard deviation are the distinction difference between parameter and statistic values.

The Mean Difference

One difference between parameter and statistic is called mean. You will come to know about the different mean in both.

  • Parameter

The mean of the parameter is called population average or mean. It is represented by the symbol µ.

  • Statistic

In statistics, the mean is indicated by the symbol x̅. It is used for representing the mean of the statistic sample. The next point is standard deviation and it is easy to understand just like mean.

The Standard Deviation

Standard deviation is an important thing to study the difference between parameter and statistic examples. This you will come to know as we move further by scrolling down.

  • Parameter

The standard deviation for the parameter is denoted by the ‘σ’ symbol. It is the measure of the distributed amount of the population.

  • Statistic

The symbol ‘s’ is used for indicating parameter statistics standard deviation in the statistic. Standard deviation in statistics is the distributed value of the set or group or sample.

You will find that there are many similarities between parameter and statistic variance and standard deviation as they are related terms.

The Variance of Two

The variance in the parameter and statistic is denoted by different signs. Let us read about it in the next paragraph.

  • Parameter

The variance in the parameter is represented by the symbol σ2. This is the average of the variables differentiating from assumption.  

  • Statistic

The ‘s2’ is used for indicating the variance in the statistic. It is the average of the random variables that differ from a given set of samples.

In simple words, variance is the square of the standard deviation in both parameters and statistics.

FAQ

What Is The Difference Between A Parameter And A Statistic?

A parameter is a descriptive measure to understand the population whereas, a statistic is a descriptive measure to understand the sample or group of a population. In parameters, the data is obtained from the entire population while in statistics the data is obtained from a sample of the population.

What Is Parameter In Statistics With Example?

A parameter in statistics is the numerical value that is obtained by doing statistical analysis of a particular group or sample from a respective population. Examples of what is a parameter in statistics are variance (s2) of the sample, mean (x̅) of the sample, and standard deviation (s) of the sample. You can calculate it based on given sample data examples of parameter statistics.

What Is A Sample Statistic Example?

A sample statistic (or just statistic) is defined as any number computed from your sample data. Examples include the sample average, median, sample standard deviation, and percentiles. A statistic is a random variable because it is based on data obtained by random sampling, which is a random experiment.

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Conclusion

All the doubts you were having till now must have been cleared after reading the difference between parameter and statistic. You came to know about many different terms such as the definition of statistics and parameters. 

We discussed the mean, standard deviation, and variance in parameters as well as statistics. I told you about the difference of parameter vs statistic which you will be able to quickly differentiate. Now you will be able to tell the difference between parameter and statistic to anyone simply.

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Janet Brown

Altaf Shaikh is the QuerClubs bestselling author of They Both Die at the End, More Happy Than Not, and History Is All You Left Me and—together with Becky Albertalli—coauthor of What If It’s Us. He was named a Publishers Weekly Flying Start. Adam was born and raised in the Bronx. He was a bookseller before shifting to children’s publishing and has worked at a literary development company and a creative writing website for teens and as a book reviewer of children’s and young adult novels. He is tall for no reason and lives in Pune.