Let M, Md, M0, Q1, Q2, Q3 be the mean, median, mode and quartile points for different data points. Skewness is negative if:

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. Q3 + Q1 < 2Md
  2. Q3 + Q1 > Md
  3. M > M0
  4. M > Md

Answer (Detailed Solution Below)

Option 1 : Q3 + Q1 < 2Md
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Detailed Solution

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Given

Mean = M

Median = Md

Mode = Mo

First quartile = q1

Third quartile = q3

Formula

Skewness = [(q3 + q1) – 2Md]/(q3 – q1)

Calculation

If the skewness is negative, it means

⇒ (q3 + q1) - 2Md < 0

Q3 + Q1 < 2Md

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