Univariate measures. Statistics

Univariate measures. Statistics

1. They are classified in:

   • Measures of central tendency.
   • Measures of position.
   • Measures of dispersion.
   • Measures of asymmetry and pointing.

2. Measures of position

   • Position measures are divided into:
     • Quartiles
       • Measures that divide a data set into 4 equal parts. These are three values Q1, Q2, Q3 called the first, second and third quartiles, respectively.
         • The first quartile (Q1) is the value obtained for n/4, the second quartile (Q2) is the value obtained for 2n/4 and the third quartile (Q3) is the value obtained for 3n/4
           • Formula
           • Meaning of the variables:
     • Deciles
       • Measures that divide a data set into 10 equal parts. These are nine values D1, D2, ..., D8, D9 called first, second, ..., eighth and ninth decile, respectively.
         • The first decile (D1) is the value obtained for n/10, the second decile (D2) is the value obtained for 2n/10 and so on until the ninth.
           • Formula
           • Meaning of the variables:
     • Percentiles
       • Divide a data series into 100 equal parts. The percentiles are 99 and range from P1, P2, P3,..., P98, P99.
         • Formula
         • Meaning of the variables:
   • The position measurements allow conclusions to be drawn, but before calculating them, they must be organized from lowest to highest and allow us to give percentage conclusions.

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