Question

In a group of students, $10$% students scored marks less than $20$, $20$% students scored marks between $20$ to $40$, $35$% students scored marks between $40$ to $60$ and $20$% students scored marks between $60$ to $80$. Remaining $30$ students scored marks between $80$ to $100$. Find the mode of marks.

• A. $30$
• B. $50$
• C. $60$
• D. $70$

Answer 1

Answer: (B)

$50$

Remaining $30$ students scored $80-100$
$15$% of $x=30$
$\Rightarrow$ $\frac{30}{x}\times 100=15$ $\Rightarrow$ $x=200$
$\therefore$ $0-20$ $\Rightarrow$ $20$ students
$20-40$ $\Rightarrow$ $40$ students
$40-60$ $\Rightarrow$ $70$ students $\Rightarrow$ Modal Group
$60-80$ $\Rightarrow$ $20$ students
$80-100$ $\Rightarrow$ $30$ students
$\therefore$ Mode $=\frac{40+60}{2}=50$.