position measurements

position measurements

1. Position measures are statistical indicators that allow the data to be summarized into one, or to divide its distribution into intervals of the same size.

2. Importance of Statistical Position Measures

   • They are the first step that must be taken in the descriptive analysis. When we want to know information about a phenomenon, we start by collecting data.But these, by themselves, are not going to provide us with relevant information, which is why they must be analyzed. The position measurements, together with the dispersion measurements, help us to group them and even to codify them.

3. Non-central position measurements

   • Position measures are usually divided into two large groups: non-central trend and central. The non-central measures of position are the quantiles. These perform a series of equal divisions on the ordered distribution of the data. In this way, they reflect the top, middle and bottom values.
     • These are
       • the quartile
         • It is one of the most used and divides the distribution into four equal parts. Thus, there are three quartiles. The lower values ​​of the distribution are located below the first (Q1). The middle or median are the lower values ​​equal to quartile two (Q2) and the higher ones are represented by quartile three (Q3).
       • The quintile:
         • In this case, divide the distribution into five parts. Therefore, there are four quintiles. Furthermore, there is no value that divides the distribution into two equal parts. It is less frequent than the previous one.
       • the decile
         • We are facing a quantile that divides the data into ten equal parts.
       • The percentile:
         • Por último, este cuantil divide la distribución en cien partes. Hay 99 percentiles. Tiene, a su vez, una equivalencia con los deciles y cuartiles.