A histogram has class intervals $20$-$30, 30$-$40, 40$-$50, 50$-$60$ with frequencies $8, 12, 6, 4$. What…

A histogram has class intervals $20$-$30, 30$-$40, 40$-$50, 50$-$60$ with frequencies $8, 12, 6, 4$. What fraction of total observations lies in $30$-$40$?
  1. $\dfrac{1}{3}$
  2. $\dfrac{2}{5}$
  3. $\dfrac{3}{10}$
  4. $\dfrac{1}{4}$

Solution

Total $= 8+12+6+4 = 30$. Required fraction $= \dfrac{12}{30} = \dfrac{2}{5}$.

Asked in: IMO

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