Class 11 Statistics: Skewness of Frequency Distribution
Chapter 5: Skewness of Frequency Distribution — read the shape of a frequency curve and measure how far it departs from symmetry. GSEB Class 11 Statistics notes covering 6 topics: Meaning of Skewness, Types of Skewness, Absolute and Relative Measures, Karl Pearson's Method, Bowley's Method, and Comparison of Methods.
Topics(6)
Meaning of Skewness
Meaning of Skewness — discover the third property of a frequency curve: lack of symmetry, its four tests and the quartile shortcut. GSEB Class 11 Statistics notes with a symmetry-breaking lab.
Types of Skewness
Types of Skewness — tell positive from negative by the tail, the average order and the quartile rule. GSEB Class 11 Statistics notes with a three-curve gallery, comparison table and solved sums.
Absolute and Relative Measures
Absolute and Relative Measures of skewness — turn the unit-carrying absolute S_k into the unit-free coefficient j for cross-population comparison. GSEB Class 11 Statistics notes with both method conversions.
Karl Pearson's Method
Karl Pearson's Method — measure skewness from mean, median, mode and standard deviation, choosing the right formula for well-defined or ill-defined modes. GSEB Class 11 Statistics notes with a decision-tree lab and solved sums.
Bowley's Method
Bowley's Method — measure skewness from quartiles alone, the only formula that works with open-ended classes. GSEB Class 11 Statistics notes with the sign rule, guaranteed range and a seesaw lab.
Comparison of Methods
Comparison of Methods — know when Karl Pearson beats Bowley, when Bowley is the only option, and why their values must never be cross-compared. GSEB Class 11 Statistics notes with the sign-clash case.