Multiple choice

If the mode of a distribution is 18 and the mean is 24, then median is

  1. 18

  2. 24

  3. 22

  4. 21
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C Correct answer
Explanation

Empirical formula: Mode = 3 * Median - 2 * Mean. 18 = 3 * Median - 2 * 24. 18 = 3 * Median - 48. 66 = 3 * Median. Median = 22.

AI explanation

Using the empirical relationship between mean, median and mode, the formula is Mode = 3 Median - 2 Mean. Substituting the given values gives 18 = 3 Median - 2(24). Simplifying this yields 3 Median = 18 + 48 = 66. Therefore, Median = 22.

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