Multiple choice

For a grouped data, the mean and the median are 25 and 30 respectively. The mode of the data is _____.

  1. 20

  2. 65

  3. 40

  4. 80
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C Correct answer
Explanation

The empirical relationship between mean, median, and mode for grouped data is Mode = 3(Median) - 2(Mean). Substituting the given values, Mode = 3(30) - 2(25) = 90 - 50 = 40.

AI explanation

According to the empirical relationship between central tendencies for a moderately skewed distribution, the formula is mode equals 3 multiplied by median minus 2 multiplied by mean. Substitute the given values of median 30 and mean 25 into the formula to get mode equals 90 minus 50. This calculates to 40. The mode of the data is 40.

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