Measurements Position

Measurements Position

1. What are they?

   • Statistical parameters that divide a set in different amounts with the same number of individuals.
     • Quartiles
       • Divide the data population in four equal parts. Each corresponding to 25 percent of the data. Therefore, we have three quartiles what do we denote Q1, Q2, Q3, and they are called first, second and third quartile.
     • Deciles
       • Divide the data population in ten equal parts, each corresponding to 10% of the data. Therefore, we have nine deciles and they are called D1, D2, D3, ..., D9
     • Percentiles
       • We have 99 percentiles that would divide the population in 100 equal parts denoted by P1, P2, ..., P98, P99.

2. Features:

   • Must be strictly defined and not be susceptible to different interpretations
   • Must depend on all the observations in the series
   • They should not have a too abstract character
   • Is easy to obtain

3. Applications

   • Are indicators used to point out what percentage of data within a frecuency distribution exceed these expressions, whose value represents the data value wich is in the center of the frecuency distribution
   • Is about Find measures that synthesize the frecuency distributions.