Question

The given histogram shows a frequency distribution of marks obtained by $56$ students in a subject. Number of students securing marks between $70$ and $100$ is:

• A. $2$
• B. $4$
• C. $6$
• D. $8$

Answer 1

The correct option is C $6$

We know, Frequency Density $=\frac{\text{Frequency of the class}}{\text{Class size of the interval}}$.

From the histogram, the frequency density of the interval $70-100$ is $0.2$.

$\therefore 0.2=\frac{\text{Frequency in the class}}{100-70}$

$⟹$ $0.2=\frac{\text{Frequency in the class}}{30}$

$⟹$ Frequency in the class = $0.2\times 30=6$.

Therefore, option $C$ is correct.