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

In Systematic Random Sampling from a population of 10,000 using a sample size of 500, the sampling interval 'k' and the starting point are determined. If the randomly selected starting point is 12, the second element selected would be:

  • A 32
  • B 22
  • C 24
  • D 512
Correct answer: A. 32

Explanation

Sampling interval k = N/n = 10,000/500 = 20. Starting point = 12 (randomly selected from 1 to 20). The sample consists of: 12, 12+20=32, 52, 72, ... The second element = 12 + 20 = 32. Systematic random sampling selects every k-th element after a random start. It is more practical than simple random sampling for large populations but can introduce periodicity bias if there is a cyclical pattern in the sampling frame matching the interval k.

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

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