Question

Find out median of the following information:

Marks

:

10,

70,

50,

20,

95,

55,

42,

60,

48,

80

Answer 1

Arranging the data in ascending order.

10, 20, 42, 48, 50, 55, 60, 70, 80, 95

Here, the number of observations is even.
$$\begin{gathered} \mathrm{Median}=\frac{\mathrm{Size}\mathrm{of}{\left(\frac{N}{2}\right)}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}{\left(\frac{N}{2}+1\right)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}{\left(\frac{10}{2}\right)}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}{\left(\frac{10}{2}+1\right)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}{5}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}{6}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{50+55}{2}=52.5 \end{gathered}$$
Thus, median marks is 52.5.