How to workout percentiles in stats

Answer 1

To calculate percentiles in statistics, follow these steps:

1. Arrange the data in ascending order from smallest to largest.
2. Determine the total number of data points in the data set (n).
3. Calculate the rank of the percentile by using the formula: Rank = (percentile/100) * (n + 1).
4. If the rank is a whole number, then the percentile corresponds to the value at that rank in the ordered data set. If the rank is not a whole number, interpolate between the values at the ranks below and above the percentile rank.
5. Finally, calculate the percentile by using the formula: Percentile = L + (R - L) * F, where L is the value at the rank below the percentile rank, R is the value at the rank above the percentile rank, and F is the fraction part of the percentile rank.

By following these steps, you can calculate any percentile in a given data set in statistics.