Multiple choice

If in a frequency distribution the mean and median are $25$ and $26$ then its mode is ________

  1. $27$
  2. $28$
  3. $29$
  4. $32$
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B Correct answer
Explanation

Empirical formula: Mode = 3*Median - 2*Mean. Mode = 3(26) - 2(25) = 78 - 50 = 28.

AI explanation

We use the empirical relationship formula, Mode = 3 multiplied by Median minus 2 multiplied by Mean. Substituting the given values into the formula gives Mode = 3 multiplied by 26 minus 2 multiplied by 25. This calculates to 78 minus 50, which equals 28.

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