A frequency table of marks of $40$ students is: $10$-$\,4$, $20$-$\,8$, $30$-$\,12$, $40$-$\,?$, $50$-$\,6$.…

A frequency table of marks of $40$ students is: $10$-$\,4$, $20$-$\,8$, $30$-$\,12$, $40$-$\,?$, $50$-$\,6$. Find the missing frequency for marks $40$ (given the total is $40$ students).
  1. $8$
  2. $10$
  3. $12$
  4. $14$

Solution

Let missing $= f$. Total students $= 4+8+12+f+6 = 30+f = 40 \Rightarrow f = 10$.

Asked in: IMO

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