Question

Answer the following questions in detail−

Find median marks obtained by the students out of 50 marks in economics.

Marks	5	10	15	20	25	30
No, of Students	10	4	5	12	9	8

Answer 1

X	f	C.F.
5	10	10
10	4	14
15	5	19
20	12	31
25	9	40
30	8	48
	48

$$\begin{gathered} \mathrm{Median}={\left(\frac{\mathrm{N}}{2}\right)}^{\mathrm{th}}\mathrm{term} \\ =\left(\frac{48}{2}\right)={24}^{\mathrm{th}}\mathrm{item} \end{gathered}$$

As 24 falls in the cumulative frequency of 31, the median is the value corresponding to the 31^st C.F.
Hence, the median is 20.