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

Answer: (C)

$\Rightarrow$ Class width between $70$ to $100$ $=100-70=30$

$\Rightarrow$ Frequency density between $70$ to $100$ $=0.2$

We know, $Frequencydensity=\frac{Frequency}{Classwidth}$

$\Rightarrow$ $Frequency=Frequencydensity\times classwidth$

$\Rightarrow$ $Frequency=0.2\times 30=6$

$\therefore$ Number of students securing marks between $70$ and $100$ $=6$