Question

Match the values of ${\varrho }_1,{\varrho }_2,{\varrho }_3$ for the following data values
$13,14,7,12,17,8,10,6,15,18,21,20$

Answer 1

Ascending order of the data is,

$6,7,8,10,12,13,14,15,17,18,20,21$

Here, $n=12$

$Q_1={\frac{n}{4}}^{th}$ Observation $=\frac{12}{4}=3^{rd}$observation $=8$

$Q_2=$Average of $6^{th},7^{th}$ Observations $=\frac{13+14}{2}=13.5$

$Q_3={\frac{3n}{4}}^{th}$ Observation $=\frac{36}{4}=9^{th}$observation $=17$