Statistical Fashion: Definition and Applications

  • Jul 26, 2021
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Regarding statistics, it is understood as fashion the data with the highest frequency within the distribution. It is an indispensable and fundamental element in the world of statistics that is often heard in the company of terms such as mean, average or median.

Knowing the characteristics of fashion is essential when conducting any research that you want to have a support or scientific validation, for this reason it is necessary that you know its characteristics and definitions in the most simple.

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In this article you will find:

What is fashion?

Fashion is the value that is repeated, the easiest way to understand this concept is by observing the trends with respect to the clothing industry also known as fashion trends, the most used color, the most viewed style during a season is said to be of fashion, since it is commonly repeated in society, for this reason, fashion is defined as we mentioned before as in the value that is repeat.

Statistical Fashion

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Fashion features

  • One of the characteristics of fashion is that it is not affected by extreme factors.
  • Unlike the arithmetic mean, the mode is not algebraically defined.
  • It is affected by the method designation of the class intervals.

Fashion properties

By definition, the mode is not a single value, but there may be more than two values ​​that have the same frequency, in which cases we will speak of a bimodal or polymodal value.

  • Fashion stands out for a simple calculation
  • It has a very clear way of being interpreted

Disadvantages of statistical mode

It is sensitive to any variation in the sample, as well as it can come to depend on the amplitude and the number of intervals when referring to variables grouped in intervals. It does not use many observations for its construction, another drawback is that as we mentioned before there may be several fashions and it is not always located in the center of the distribution.

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How to find the mode in a series of numbers?

It is worth starting by remembering that when 2 or more data are linked we will be in the presence of a multimodal or bimodal series, this occurs when the common values ​​are the mode within the Serie.

  1. The first thing you should do is write down the corresponding series of data. You can do it by hand with paper or pencil or if you prefer you can write them down in a spreadsheet of Excel, this in order to perform calculations that otherwise would be difficult to perform in an mental.
  2. The second step of this process is also very simple and it is a matter of ordering said data from smallest to largest, returning to the method you choose to perform it, it is worth highlighting that in a spreadsheet it is very easy to reorder the data from smallest to largest with just one click, however, if you are doing the calculations by hand you will have to reorder write them.
  3. Now observe the times that each of the data is repeated and after having done it, observe which value within the series is repeated more frequently. That value that you observe the most times repeated will be the mode of the series.
  4. Keep in mind that you should not confuse the mode with the median and the mean, remember that the mean is the Average of the data series and the median refers to the middle or middle number within the series of data.

Measures of central tendency

We already mentioned that it is fashion and we have given examples from the industry, such as when we talk about the fashion song every day to refer to the one that more it sounds, it is also necessary to understand that fashion is part of a set of concepts known as measures of central tendency, which include:

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Half

It refers to the position measure that is used the most, mainly because it is the easiest to calculate through algebraic systems and equations, without However, one of its disadvantages is its sensitivity to what are known as extreme values, whether they are very large or in the same way if they are too much. little ones.

Median

It is known as the central value, to find the median it is necessary that the data be ordered and when there are even data, the median will be obtained from the average of them. Another way to understand it is as the value that separates the data into two equal parts, leaving 50% of them on each side.

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What are the advantages of fashion in statistics?

These concepts are very important in any statistical study and are very useful tools as long as you know how to use them at the right time. Time and resources are very important and for this reason use a tool that can be easily within reach is essential and this is the case with fashion since it does not require any type of calculation.

Measures of dispersion

These show how variable a distribution is and are indicated by a number. The variability will be greater as it moves away from the mean, this is a method to know they are similar or if there are varieties among them, these are also very important in statistics and the most used They are:

Variation range

It measures how wide the sample values ​​can be and to calculate it it is necessary to subtract the highest value and the lowest value

Variance

It measures the distance between the values ​​of the series and the mean, it is calculated through the sum of the squared differences between the values ​​and the mean, multiplying by the number of times it has been repeated, that final sum that you obtain is divided by the size of the sample.

Pearson's coefficient of variation

It is calculated as the quotient of the standard deviation and what is known as the mean with respect to the sample, which we already mentioned earlier. Knowing these different measures is important for the efficiency of the calculations you perform in your experiment or survey.

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