Question

If Q₁, Q₂  and Q₃  are three quartiles of a frequency distribution, which of the following holds if the distribution is negatively skewed?

A Q₁ + Q₃ > 2Q₂ Correct Answer Incorrect Answer
B Q₁ + Q₃ < 2Q₂ Correct Answer Incorrect Answer
C Q₁ + Q₂ < 2Q₃ Correct Answer Incorrect Answer
D Q₃ – Q₁ > 2Q₂ Correct Answer Incorrect Answer

Solution

For a negatively skewed distribution: (Q2 - Q1) > (Q3 - Q2), Thus, Q ₁ + Q ₃ < 2Q ₂

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