Statistics Practice Test 1

For India, as the class 44 - 47 has maximum frequency, it is the modal class.
$\therefore \mathit{l}=44,{\mathit{f}}_1=59,$ ${\mathit{f}}_0=36,{\mathit{f}}_2=30,\mathit{h}=3$
Hence, mode $=\mathit{l}+\frac{{\mathit{f}}_1-{\mathit{f}}_0}{2{\mathit{f}}_1-{\mathit{f}}_0-{\mathit{f}}_2}\times \mathit{h}=45.33$
For China, as the class 47 - 50 has the maximum frequency, it is the modal class.
$\therefore \mathit{l}=47,{\mathit{f}}_1=54,$ ${\mathit{f}}_0=35,{\mathit{f}}_2=41,\mathit{h}=3$
Hence, mode $=\mathit{l}+\frac{{\mathit{f}}_1-{\mathit{f}}_0}{2{\mathit{f}}_1-{\mathit{f}}_0-{\mathit{f}}_2}\times \mathit{h}=48.78$
Thus, the mode for China is higher than themode for India.