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

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Let M, Md, M0, Q1, Q2, Q3 be the mean, median, mode and quartile points for different data points. Skewness is negative if:
1. Q3 + Q1 > 2Md
2. Q3 + Q1 > Md
3. M > M0
4. M > Md
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Correct Answer - Option 1 : Q3 + Q1 > 2Md

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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