Multiple choice

The mean of distribution is $22.2$ and its mode is $23.3$. The median is _______.

  1. $26.5$
  2. $22.6$
  3. $28.5$
  4. $26.6$
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B Correct answer
Explanation

The empirical relationship between mean, median, and mode is: Mode = 3 * Median - 2 * Mean. Plugging in the values: 23.3 = 3 * Median - 2 * 22.2. 23.3 = 3 * Median - 44.4. 3 * Median = 67.7. Median = 22.566, which rounds to 22.6.

AI explanation

Apply the empirical relationship formula, which states Mode is equal to 3 multiplied by Median minus 2 multiplied by Mean. Substitute the given values into the formula to get 23.3 equals 3 multiplied by Median minus 44.4. Solving this equation gives 3 multiplied by Median as 67.7, so the median is 22.6.

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