These measures are used to describe the position of a value with respect to the rest of the values of the data set.

To compute quartiles and percentiles, but not to compute z-scores, the data must be sorted by value.

Quartiles

Percentiles and

Standardized scores (z-scores).

Percentiles are used to understand and interpret data. They indicate the values below which a certain percentage of the data in a data set is found.

The percentile formula is used when we need to compare the exact values or numbers over the other numbers from the given data i.e. the accuracy of the number

The percentile of x is the ratio of the number of values below n to the total number of values multiplied by 100