Position measures

Position measures

1. Types of position measurement

   • Quartiles
     • Are positional measures that divide the frequency distribution into four equal parts and are designated by the symbol Qa.
       • Quartiles are calculated by ordering the data from lowest to highest, we find the place occupied by each quartile using the expression.
   • Percentiles
     • They are measures of position that divide the frequency distribution into ten equal parts and these go from the number nine. The deciless are designated by the letters Da.
   • Deciles
     • Are positional measures that divide the frequency distribution into 100 equal parts and can be used to calculate any percentage of the frequency distribution data
       • Are the most commonly used measures for purposes of locating the value of a series of data located in a frequency distribution.

2. Is a number that is chosen as a guideline to refer to a group of data, being very useful in the percentage interpretation of the information.

   • Characteristic
   • characteristics
     • Correspond to all observations in the series otherwise it would not be a characteristic of the distribution.
       • Must be subsumable for quick and easy algebraic calculation.
   • purpose
     • Determine
     • Synthesize data
     • present a data set
       • Summarize in a single number the position of the data distribution