Question

What is the formula to determine the position of the first quartile (Q₁) in a dataset with 'n' individual observations?

Options

• \[Q_1=\frac{n+1}{4}\text{th observation}\]

• \[Q_1=\frac{n}{2}\text{th observation}\]

• \[Q_1=\frac{3(n+1)}{4}\text{th observation}\]

• \[Q_1=n\text{th observation}\]

Answer 1

\[Q_1=\frac{n+1}{4}\text{th observation}\]

Explanation:

The first quartile's position is calculated using \[\frac{n+1}{4}\] for individual data, dividing ordered data into four equal parts.