Position Measurements

Position Measurements

1. meaning

   • Position measures are indicators statistics
     • It allows us to summarize the data into one, or divide its distribution in intervals of the same size.

2. characteristic

   • They correspond to all the observations of the series, otherwise it would not be a distribution feature
   • They must be defined rigorously
     • willing to various interpretations
   • should not have a character math too much indeterminate
   • They must be subsumable algebraic calculation
     • Quick
       • easy

3. Purpose

   • It is summed up in a single number position of the data distribution.
   • Determine
     • submit a set of data
   • synthesize
     • Data

4. Types of measures position

   • Percentiles
     • It is one of the so-called measures of non-central position (quartiles, deciles, quintiles, percentiles, etc.) can be described as a form of comparison of results, which is why it is a widely used concept in fields such as statistics or data analysis fields.
       • The percentile is a number from 0 to 100. which is related to the percentage, but it is not the percentage itself.
         • Divide the set by 100 equal parts
           • Divide the distribution into 100 parts, each containing 1% of the observations
   • quartiles
     • Positional measures that divide the frequency distribution.
       • in four parts same.
         • Designated with the sign Qa, Q1, Q2, and Q3 determine the values ​​corresponding to 25%, 50% and 75% of the data, Q2 coincides with the median.
           • How are the quartiless.
             • a. We sort the data smallest to largest
             • b. We look for the place it occupies each quartile by expression.
   • Deciles
     • They are measures of position that divide the frequency distribution in ten equal parts, They range from number 1 to number 9. deciles are designated by the letters Da.
       • Calculations of deciles D1, D2, D3.......D9
         • Divide the distribution into 100 parts in such a way that each of they will contain 10%

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