Multiple choice

For a grouped data, the mean and the median are 85 and 92 respectively. The mode of the data is ______.

  1. 191

  2. 106

  3. 95

  4. 7
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B Correct answer
Explanation

The empirical relationship between mean, median, and mode is: Mode = 3 * Median - 2 * Mean. Mode = 3 * 92 - 2 * 85 = 276 - 170 = 106.

AI explanation

Use the empirical relationship formula, which states that Mode equals 3 multiplied by Median minus 2 multiplied by Mean. Substitute the given values into the formula to get 3 times 92 minus 2 times 85. This simplifies to 276 minus 170, which equals 106.

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