In a histogram, classes are $100$-$150$, $150$-$200$, $200$-$250$, $250$-$300$ with frequencies $10, 18, 22,…

In a histogram, classes are $100$-$150$, $150$-$200$, $200$-$250$, $250$-$300$ with frequencies $10, 18, 22, 10$. What is the class mark of the modal class?
  1. $175$
  2. $200$
  3. $225$
  4. $275$

Solution

Modal class $= 200$-$250$ ($f=22$). Class mark $= \dfrac{200+250}{2} = 225$.

Asked in: IMO

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