CTET 2 Math and Science Jan 2021 Paper

Given data :
$5,10,3,6,4,8,9,3,$$15,2,9,4,19,11,4$
On arranging the data in ascending order, we get
$2,3,3,4,4,4,5,6,8,$$9,9,10,11,15,19$
Range $=$ Upper limit $-$ lower limit $=19-2=17$
Mode $=$ Most frequent observation $=4$
Number of observations $\left(\mathit{n}\right)=15$ (odd)
Median $=\left(\frac{\mathit{n}+1}{2}\right)$th observation $=\left(\frac{15+1}{2}\right)\mathit{t}\mathit{h}=\left(\frac{16}{2}\right)\mathit{t}\mathit{h}$= 8th observation $=6$
∴ Required mean $=\frac{17+4+6}{3}=\frac{27}{3}=9$