Statistics is a widely used branch of mathematics, which you have surely heard of, and which is very present in everyday language with words such as probability. This has become very important even at the level of the latest trends and concepts in physics quantum, although its importance stands out in market studies and scientific research of all kind.
Stay with us to know what the statistical breadth, its characteristics and everything related to this concept.
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In this article you will find:
What is statistical breadth?
To explain and understand the statistical breadth, It is necessary to resort to mathematical language where the amplitude is described as (AT) and is defined as the difference between the score with the highest value and the lowest value.
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Formula
At = Xmax –Xmin. Amplitude is really easy to calculate, and this very simplicity is often a drawback on some occasions.
Variance and standard deviation
The typical deviation it is a measure of dispersion for also known quantitative variables and rational quantities. Mathematically it is described as the square root of the variable.
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Central tendency means are important, but they are not sufficient to provide detailed insight into a given set of data. At this point, the deviation presented by the data with respect to the arithmetic mean comes into play as a fundamental part. The standard deviation is also known as a measure of uncertainty, this standard deviation of a group can give the precision of the same.
The variance on the other hand stands out for being an absolute variety and is mathematically described as the square of the standard deviation, using the same letters used for the standard deviation, only squared S2 and s2.
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Coefficient of variation
We already mentioned that the variance and the standard deviation are absolute measures of dispersion, however, they do not allow us to compare the dispersion of two different distributions. The coefficient of variation It is a measure of relative dispersion that is used to compare two distributions and is defined mathematically as the quotient between the standard deviation and the arithmetic mean.
Quasi variance
It gets this name because of its similarity to the variance, only in this case the sums are divided squared by n-1. You must take into account that n-1 represents the size of the sample and is not N the size of the data group, in addition this serves to obtain an estimate of the variance as well as of the population in the inference analysis of the data.
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Total range or amplitude
Range is understood as the limit of all the values in a data series, it is also used can be defined as the number of different values that the variable takes in a research or study determined.
Interval width
It is known as a number or units of measure, it is used in the graphic representation of continuous variable measures, then this amplitude is given when grouping variables in intervals of the same size and each one will be defined by its lower limit and its upper limit, whose difference between limits will be known as the amplitude interval.
Class Amplitude
The amplitude of the class is also known as length and is defined as the number of variables within a class, to define it in the mathematical context of statistics it is is given by the Ic, and various criteria are taken into account that usually make the length of the class known at all intervals, so that they can respond to the nature of the data.
All these various concepts are very important in scientific research to group data and know accurately If hypotheses and theories can in fact be correct, they are also widely used in economics, and are also used to collect data that can help in predicting the weather or the reception that a product or medicine could have in a given market.
