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GATE 2018 CE (CE2) – Question 13

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Multiple choice

A right-skewed probability distribution is shown. Which statement is correct?

Diagram for GATE 2018 CE (CE2) question 13
  1. Mean equals mode
  2. Mean exceeds median but is less than mode
  3. Mean exceeds both median and mode
  4. Mode exceeds median

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Show answer and explanation

Correct answer: (C) Mean exceeds both median and mode

Explanation

The right tail pulls the mean farther right than the median. The mode is at the leftward peak. Therefore mean > median > mode for this conventional unimodal curve (C).