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Revision Notes
Skewness of Frequency Distribution — Revision Notes
Gujarat Board · Class 11 · Statistics
Skewness of Frequency Distribution revision notes for Gujarat Board Class 11 Statistics: 4 topics in quick points.
44 questions22 flashcards4 formulas & key relations5 concepts
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Key Topics to Revise
1
Meaning and Concept of Skewness
- Skewness indicates the tendency of a distribution to depart from symmetry
- In a symmetric distribution, mean = median = mode and the frequency curve is bell-shaped
- Skewness occurs when observations are not evenly distributed on both sides of the mode
2
Types of Skewness
- Positive Skewness: Right tail is more elongated, mean > median > mode
- Negative Skewness: Left tail is more elongated, mean < median < mode
- In positive skewness: Q₃ - M > M - Q₁ (third quartile farther from median)
3
Absolute and Relative Measures of Skewness
- Absolute measure: Expressed in same units as the variable (e.g., rupees, years)
- Relative measure (coefficient): Unit-free measure for comparing different distributions
- Absolute measures cannot be used to compare distributions with different units
4
Karl Pearson's Method
- Based on the relationship between mean, median, and mode
- For well-defined mode: Skewness = mean - mode
- For ill-defined mode: Skewness = 3(mean - median)
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Full NotesKey Concepts
A distribution where observations are evenlyDistribution where the right tailDistribution where the left tailUses the relationship between meanBased on quartile positions
Frequently Asked Questions
What are the important topics in Skewness of Frequency Distribution for Gujarat Board Class 11 Statistics?
Key topics in Skewness of Frequency Distribution include Meaning and Concept of Skewness, Types of Skewness, Absolute and Relative Measures of Skewness, Karl Pearson's Method. Study these first, then practise questions on each for Class 11 exams.
How should I revise Skewness of Frequency Distribution for Class 11 exams?
Learn the core ideas first, then work through the 44 practice questions on Skewness of Frequency Distribution. Revise definitions regularly and use flashcards for quick recall before the exam.
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