Enter the total number of observations into the calculator to determine the 10th percentile.
10Th Percentile Formula
The following formula is used to calculate the 10th percentile of a data set.
P10 = 1 + (n - 1) * 0.10
Variables:
- P10 is the 10th percentile of the data set
- n is the total number of observations in the data set
To calculate the 10th percentile, subtract 1 from the total number of observations, then multiply the result by 0.10. Add 1 to this product to get the 10th percentile.
How to Calculate 10Th Percentile?
The following steps outline how to calculate the 10th percentile using the given formula:
- First, determine the total number of observations in the data set (n).
- Next, subtract 1 from the total number of observations (n – 1).
- Multiply the result from step 2 by 0.10 (0.10 * (n – 1)).
- Add 1 to the result from step 3 (1 + 0.10 * (n – 1)).
- Finally, calculate the 10th percentile (P10) using the formula P10 = 1 + 0.10 * (n – 1).
Example Problem:
Use the following variables as an example problem to test your knowledge:
Total number of observations (n) = 50