position measurements

position measurements

1. Are values ​​that allow the data set to be divided into equal percentage parts and are used to classify an observation within a population or sample.

2. The most common position measurements are

   • quartiles deciles Percentiles
     • quartiles
       • are obtained from the ordered data and divide the set into four equal percentage part. Are represented as
         • Q1
           • Value that leaves below 25% of the data and above the remaining 75%.
             • Formula
         • Q2
           • Value that leaves below 50% of the data and above the remaining 50%.
         • Q3
           • Value that leaves below 75% of the data and above the remaining 25%.
             • Formula
     • Deciles
       • data values ​​that divide the data set into 10 equal parts, each representing 10% of the distribution.
         • D1
           • value that leaves below 10% of data and above the remaining 90%
             • Formula
         • D2
           • value that leaves below 20% of the data and above the remaining 80% and so on until D9
         • D9
           • value that leaves below 90% of the data and above the remaining 10%.
             • Formulas
     • Percentiles
       • are data values ​​that divide the data set into 100 equal parts
         • P1
           • value that leaves below 1% of the data and above 99%
             • Formula
         • P8
           • value that leaves below 8% of the data and above 92%
         • Pk
           • Percentile k is the value that falls below K% of the distribution.
             • Formula

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