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Skewness of Frequency Distribution

Gujarat Board · Class 11 · Statistics

Complete topic list for Skewness of Frequency Distribution in Gujarat Board Class 11 Statistics. Key concepts, sub-topics, and what to focus on for board exams.

44 questions22 flashcards5 concepts

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4 Topics · Gujarat Board Class 11 Statistics

Topics in Skewness of Frequency Distribution

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)

Key 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?
Skewness of Frequency Distribution covers several key topics that are frequently asked in Gujarat Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Skewness of Frequency Distribution — Gujarat Board Class 11 Statistics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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