Position measurements

Position measurements

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

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

3. The most common measures of position are quartiles, deciles, and percentiles.

4. Position measures such as quartiles, quintiles, deciles, and percentiles divide an ordered distribution into equal parts.

5. Quantiles (quartiles, deciles, percentiles) are location measures, their function is to report the value of the variable that will occupy the position (as a percentage) that interests us with respect to the entire set of variables.

   • The quintiles, which divide the distribution into five parts (correspond to quantiles 0.20; 0.40; 0.60 and 0.80);

6. The quartiles, which divide the distribution into four parts (correspond to the 0.25, 0.50 and 0.75 quantiles)

7. d1 = frequency of the modal class minus the frequency of the class directly below it. d2 = frequency of the modal class minus the frequency of the class directly above it.