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

Which statement about the standard error of the mean is correct?

  • A It is unaffected by the spread of the original data
  • B It increases as the sample size increases
  • C It measures the variability of individual observations around their mean
  • D It equals the standard deviation divided by the square root of the sample size
Correct answer: D. It equals the standard deviation divided by the square root of the sample size

Explanation

The standard error of the mean equals SD divided by the square root of n and quantifies the precision of the sample mean as an estimate of the population mean. It decreases as n increases, ruling out option B, and shrinks when the underlying data are less dispersed, ruling out option A. Option C describes the standard deviation itself, a distractor students frequently confuse with the standard error.

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

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