position measurements

position measurements

1. Although the median divides the data set into two equal parts, there are other statistical parameters that divide the population into other different amounts. The calculations are similar to those of the median, varying the position to search for and the interval in which the quantile is found.

   • the most important ones are
     • PERCENTILE
       • We have 99 percentiles that would divide the population into 100 equal parts, denoted by P1, P2, ..., P98, P99. The 25th, 50th, and 75th percentiles coincide with the quartiles.
         • formula
     • QUARTILES
       • They divide the data population into four equal parts, each corresponding to 25% of the data. We thus have three quartiles that we denote as Q1, Q2, Q3, and are called the first, second, and third quartiles. The second quartile coincides with the median.
         • formula
     • DECILES
       • They divide the data distribution into 10 equal parts, each corresponding to 10% of the data. We would therefore have nine deciles that we denote by D1, D2, D3, ..., D9 The fifth decile coincides with the median.
         • formula

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