Measurement Position

Measurement Position

1. Position measures divide a data set into groups with the same number of individuals. .

2. To calculate position measures, it is necessary that the data be ordered from smallest to largest.

3. the position measurements are

   • Quartiles
     • Quartiles are the three values of the variable that divide a set of ordered data into four equal parts. Q1, Q2 and Q3 determine the values corresponding to 25%, 50% and 75% of the data. Q2 coincides with the median.for calculation 1 We order the data from smallest to largest. 2 We find the place occupied by each quartile by means of the expression
   • Deciles
     • The deciles are the nine values that divide the data series into ten equal parts. The deciles give the values corresponding to 10%, 20%... and 90% of the data. D5 coincides with the median.
       • Calculation of deciles First we look for the class where Explanations and examples of position measures - 12 is located, in the table of cumulative frequencies. Explanations and examples of position measures - 13 Li is the lower limit of the class where the median is located. N is the sum of the absolute frequencies. Fi-1 is the cumulative frequency before the median class. ai is the width of the class.
   • Percentiles
     • The percentiles are the 99 values that divide the data series into 100 equal parts. The percentiles give the values corresponding to 1%, 2%... and 99% of the data. P50 coincides with the median.
       • Calculation of percentiles First we look for the class where Explanations and examples of position measures - 32 is located, in the table of cumulative frequencies. Explanations and examples of position measures - 33 Li is the lower limit of the class where the median is located. N is the sum of the absolute frequencies. Fi-1 is the cumulative frequency before the median class. ai is the width of the class.

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