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Formulae Vault

Mathematics Formulae

Master every concept with our curated repository of formulae, theorems, and key identities for CBSE 2026.

🏆 You are on the right track! Master all the formulae in these units and you'll be well-equipped to score a solid 80 out of 80 in Mathematics! Keep it up!

🔢 Unit VII: STATISTICS AND PROBABILITY

📂2 Chapters in Unit 📑2 Topics in Unit 📐7 Formulae in Unit 📊Unit Overview
📂Unit VII: STATISTICS AND PROBABILITY
1

Mean (Direct Method)

Medium
x̄ = Σfᵢxᵢ / Σfᵢ

Description: Standard method to find arithmetic mean.

2

Mode of Grouped Data

Medium
Mode = l + [(f₁ - f₀)/(2f₁ - f₀ - f₂)] × h

Description: Where l is lower limit of modal class, f1 is freq of modal class, etc.

3

Median of Grouped Data

Medium
Median = l + [ (n/2 - cf) / f ] × h

Description: Where cf is cumulative frequency of class preceding the median class.

4

Empirical Relationship

Medium
3 Median = Mode + 2 Mean

Description: Relation between mean, median, and mode.

1

Theoretical Probability

Medium
P(E) = Number of outcomes favorable to E / Total number of possible outcomes

Description: Basic definition of probability.

2

Complementary Events

Medium
P(E) + P(not E) = 1

Description: The sum of probabilities of an event and its complement is always 1.

3

Impossible & Sure Events

Medium
P(Impossible) = 0, P(Sure) = 1

Description: Range of probability is always between 0 and 1 inclusive.