Paragraph: Read the following information and answer: Consider the...

(1) Modal value of the marks of Physics is the interval in which maximum number of students got his marks. In the marks interval of ( $30-40)$, number of students in Physics is 30 , which is largest number of students in any interval. Hence, modal values of marks in Physics is (30-40). Statement (1) is correct. (2) Median class is given by $\left(\frac{N}{2}\right)^{\text{th }}$ item i.e. \left(\frac{100}{2}\right)^{\text{th }}$item which is 50th item. This corresponds to the class interval of$(40-50)$for Physics and$(30-40)$for Mathematics.$$\begin{aligned} & \text{ Medium }=l_1+\frac{\frac{N}{2}-C . f .}{f} \times i \\ & \therefore \text{ Median for Physics }=40+\frac{\frac{100}{2}-49}{26} \times 10\end{aligned}$$\begin{aligned} & =40+\frac{50-49}{26} \times 10=40.385 \\ & \text{Median for Maths }=30+\frac{\frac{100}{2}-31}{38} \times 10 \\ & =30+\frac{50-31}{38} \times 10=35\end{aligned} Thus, median of the marks in Physics is more than median of the marks in Mathematics. Hence, statement (2) is not correct.