The formula to calculate the 10th percentile is:
\[ P10 = 1 + (n - 1) \times 0.10 \]
Where:
The 10th percentile of a data set is the value below which 10% of the observations fall. It is a measure used in statistics to understand the distribution of data points. Calculating the 10th percentile helps in identifying the lower end of the data set, which can be useful in various analytical contexts.
Let's assume the following value:
Using the formula to calculate the 10th percentile:
\[ P10 = 1 + (50 - 1) \times 0.10 = 5.9 \]
The 10th percentile is 5.9.