During the medial check up of 35 students of a class, their weights were recorded as follows Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.
To draw the 'less than' type ogive, we plot the points (38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32) and (52, 35) on the graph.
Median from the graph = 46.5 kg.
median class is (46-48). (See in the table)
We have $\ell=46, \mathrm{f}=14, \mathrm{cf}=14, \mathrm{n}=35$ and $\mathrm{h}=2$.
$\operatorname{Median}=\ell+\left\{\frac{\frac{\mathbf{n}}{\mathbf{z}}-\mathbf{c f}}{\mathbf{f}}\right\} \times \mathrm{h}$
$=46+\left\{\frac{\frac{35}{2}-14}{\mathbf{1 4}}\right\} \times 2=46+\frac{\mathbf{1}}{\mathbf{2}}=46.5 \mathrm{~kg}$
Hence, the median is same as we have noticed from the graph