Question

When calculating a quartile for individual (ungrouped) data, which formula is used?

Options

• \[Q_i=\text{size of }i((n+1)/4)^{\mathrm{th}}\text{Observation}\]

• \[Q_i=l+((in/4-cf)/f)\times h\]

• \[Q_i=\frac{\mathrm{Total}}{n}\]

• \[Q_i=\mathrm{Range}/4\]

Answer 1

\[Q_i=\text{size of }i((n+1)/4)^{\mathrm{th}}\text{Observation}\]

Explanation:

For ungrouped data, the position of the quartile is obtained using this formula, where i = 1, 2, 3.