Multiple choice

The mean and the median of a distribution are 1.25 and 4.5, respectively. Find the mode.

  1. 5.25

  2. 12.5

  3. 11

  4. 10.5

  5. 9.5
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C Correct answer
Explanation

Empirical formula: Mode = 3 * Median - 2 * Mean. Mode = 3 * 4.5 - 2 * 1.25 = 13.5 - 2.5 = 11.

AI explanation

Using the empirical relationship between mean, median, and mode, the formula is Mode = 3 * Median - 2 * Mean. Substituting the given values gives Mode = (3 * 4.5) - (2 * 1.25). This simplifies to 13.5 - 2.5 = 11.

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