The GATE Grind

GATE 2022 ES – Question 11

Mathematics Foundation · Probability and Statistics · 1 mark · Multiple choice

Arsenic concentrations (mg/L) are .10,.12,.20,.05,.40,.30,.35. Which describes their distribution?

  1. Symmetric
  2. Positively skewed
  3. Negatively skewed
  4. Follows a Weibull distribution

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Show answer and explanation

Correct answer: (B) Positively skewed

Explanation

The sorted observations have median .20 and mean $1.52/7=.21714$. The positive right-tail moment also indicates positive skewness. Thus **B** is the intended descriptive answer. Seven values alone do not establish a particular parametric distribution such as Weibull.

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