position measurements

position measurements

1. These are measures that account for a certain position within the distribution of data. Its purpose is: Summarize in a single number the position or location of the data distribution. Characterize and represent a data set.

   • Ungrouped data
     • Quartiles
       • They are three values of the variable of a distribution than the divide into four equal parts, that is at 25%, 50% and 75%. Formula
         • Deciles
           • They represent a position divides the data set into ten equal parts groups by ten, twenty, thirty, and ninety percent formula: Di= (i. n)+1 10
     • Quintiles
       • They represent a position divides the data set into five equal parts grouping them into twenty, forty, sixty and eighty percent, which are represented by K1, K2, K3, K4.
         • Percentiles
           • They are the calculation of a position which is used to determine the value of the data under which the required percentage is found.
   • Grouped data
     • Quartiles
       • They divide the data into four parts, this allows us to determine the dispersion and the central tendency of the data this the following formula
         • Deciles
     • Quintiles
       • The quintiles with grouped data are obtained by applying the following
         • Percentiles
           • To find the position k in the percentiles we apply: k
             • We will choose the interval where: kns fi (in this case we will use interval two)

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