Question

Which of the following formulas is used to find the kth percentile in individual or discrete data?

Options

• \[k\times n\]

• \[\text{Size of }k\left(\frac{n+1}{100}\right)\text{th observation}\]

• \[k\div(n-1)\]

• \[\text{Size of }k\left(\frac{n}{10}\right)\text{th observation}\]

Answer 1

\[\text{Size of }k\left(\frac{n+1}{100}\right)\text{th observation}\]

Explanation:

For discrete data, the kth percentile is located at the \[\mathrm{k}\left({\frac{n+1}{100}}\right)\mathrm{th}\] position in the ordered data.