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Chapter 26 of 27
Formula Sheet

StatisticsFormula Sheet

CUSAT CAT · Mathematics

Free Statistics formula sheet for CUSAT CAT Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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Formula Sheet — Statistics

Important formulas and equations from Statistics for CUSAT CAT Mathematics.

Formulas — Statistics

Measures of Dispersion - Range

Range = Maximum value - Minimum value
Coefficient of Range = (Largest - Smallest)/(Largest + Smallest)

Mean Deviation

M.D.(x̄) = Σ|xi - x̄|/n (ungrouped data)
M.D.(M) = Σ|xi - M|/n (ungrouped data)
M.D.(x̄) = Σfi|xi - x̄|/N (grouped data)
M.D.(M) = Σfi|xi - M|/N (grouped data)

Variance and Standard Deviation

σ² = Σ(xi - x̄)²/n (ungrouped data)
σ = √[Σ(xi - x̄)²/n]
σ² = Σfi(xi - x̄)²/N (discrete frequency)
σ = √[NΣfixi² - (Σfixi)²]/N (shortcut method)
σ² = (h²/N²)[NΣfiyi² - (Σfiyi)²] (step deviation)

Combined Statistics

x̄ = (n₁x̄₁ + n₂x̄₂)/(n₁ + n₂)
σ² = [n₁(σ₁² + d₁²) + n₂(σ₂² + d₂²)]/(n₁ + n₂)

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Frequently Asked Questions

What topics are covered in Statistics for CUSAT CAT?
Statistics is an important chapter in CUSAT CAT Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction and Basic Concepts, Range and Coefficient of Range, Mean Deviation, Variance and Standard Deviation - Core Concepts.
How important is Statistics for CUSAT CAT?
Statistics is a frequently tested chapter in CUSAT CAT Mathematics. Questions from this chapter appear regularly in previous year papers. There are 152 practice questions available for this chapter.
How to prepare Statistics for CUSAT CAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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Get the full Statistics chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for CUSAT CAT Mathematics.