Multiple choice

In a table showing L.C.F.D. and G.C.F.D; for a class whose upper boundary is $60$ has less than cumulative frequency of $35$ and a class whose lower boundary is $60$ has greater than cumulative frequency of $25$. Find the total frequency of the distribution.

  1. $10$
  2. $60$
  3. $35$
  4. $70$
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B Correct answer
Explanation

In a frequency distribution, the total frequency is the value where the cumulative frequency reaches its maximum. Given the boundary conditions, the total frequency is the sum of frequencies across the classes, which is 60.

AI explanation

The total frequency of the distribution is the sum of the less than cumulative frequency and the greater than cumulative frequency for the same boundary. Using the provided values, we calculate 35 + 25 = 60. The result is 60.

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