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NDA 2025 Maths · Mathematics · Statistics · medium

For the data 10,25,40,55,90, the coefficient of range is

Single correct option

For the data 10,25,40,55,9010,25,40,55,90, the coefficient of range is
  1. A. 0.40.4
  2. B. 8080
  3. C. 0.80.8
  4. D. 1.251.25
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Answer: (C) 0.80.8

Range =90−10=80=90-10=80 and the coefficient of range is L−SL+S=80100=0.8\frac{L-S}{L+S}=\frac{80}{100}=0.8. The value 8080 is the range itself (not a coefficient), 0.40.4 divides by 200200, and 1.251.25 inverts the ratio. The coefficient is a pure number, useful to compare dispersions.
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