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

The mean weight of a group of adults is 65 kg with SD of 6.5 kg. The mean height is 165 cm with SD of 8.25 cm. Which measurement has greater relative variability?

  • A Height (CV = 5%)
  • B Weight (CV = 10%)
  • C Both have equal variability
  • D Cannot be determined from the data
Correct answer: B. Weight (CV = 10%)

Explanation

Coefficient of variation equals SD divided by mean times 100. For weight, CV equals 6.5 divided by 65 times 100, which is 10%. For height, CV equals 8.25 divided by 165 times 100, which is 5%. Weight has greater relative variability. CV allows comparison of variability across measurements with different units or scales.

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

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