Community Medicine (PSM) · Biostatistics (Measures of Central Tendency, Tests of Significance, Sampling)

In a frequency distribution that is positively skewed, the correct relationship among measures of central tendency is:

  • A Mean = Median = Mode
  • B Mode > Median > Mean
  • C Mean > Median > Mode
  • D Median > Mean > Mode
Correct answer: C. Mean > Median > Mode

Explanation

In a positively (right) skewed distribution, the long tail pulls the mean toward higher values, so Mean > Median > Mode. The mode is the lowest (peak of the left-shifted distribution), the median lies between, and the mean is highest due to influence of extreme values. In negatively skewed distributions, the order is reversed: Mean < Median < Mode.

Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.

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