Multiple choice

The mean and the median of a certain set of observations are 'a' and 'b' respectively. What is its mode?

  1. 3a – 2b

  2. 2a – 3b

  3. 3b – 2a

  4. 2b – 3a
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C Correct answer
Explanation

The empirical relationship between mean, median, and mode is Mode = 3 * Median - 2 * Mean. Given Mean = a and Median = b, Mode = 3b - 2a.

AI explanation

The empirical relationship between the mean, median, and mode states that Mode = 3 * Median - 2 * Mean. Given that the mean is a and the median is b, we substitute these variables into the formula. This yields Mode = 3b - 2a.

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