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 ✓
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.
High-yield for: NEET PGINI-CETNExTFMGEUSMLEPLABMRCP
Written and medically reviewed by the StethoPrep medical team.