Question

Find the first and third quartile for the quantitative data.х X2.42.86.58.61113.726.428.729.430Q1 =?Q3=?

Answer 1

Given: The data is,

$2.4,2.8,6.5,8.6,11,13.7,26.4,28.7,29.4,30$

The number of terms is 10.

The first quartile is calculated as,

Take the lower half of the data,

$\begin{gathered} 2.4,2.8,6.5,8.6,11 \\ \text{Median is 6.5} \\ Q_1=6.5 \end{gathered}$

Now, the third quartile is,

Take the upper half of the data,

$\begin{gathered} 13.7,26.4,28.7,29.4,30 \\ \text{Median is 28.7} \\ Q_3=28.7 \end{gathered}$

Answer:

$\begin{gathered} Q_1=6.5 \\ Q_2=28.7 \end{gathered}$