Statistics and probability Topics - IIT JEE Syllabus

1

2m2/10

📌 Key FormulaRange, variance, standard deviation, mean deviation.

2

2m3/10

📌 Key FormulaMean = Σfᵢxᵢ / Σfᵢ, Median and mode using formulas with class intervals.

3

2m1/10

📌 Key FormulaMean = Σxᵢ / n, Median = middle value, Mode = most frequent value.

4

2m4/10

📌 Key FormulaVariance σ² = Σfᵢ(xᵢ - μ)² / N, Standard deviation σ = √σ², Mean deviation = Σfᵢ|xᵢ - μ| / N

5

2m2/10

📌 Key FormulaVariance σ² = Σ(xᵢ - μ)² / n, Standard deviation σ = √σ²

6

2m2/10

📌 Key FormulaP(E) = n(E)/n(S), where S is sample space.

7

2m3/10

📌 Key FormulaP(A∪B) = P(A) + P(B) - P(A∩B), P(A∩B) = P(A)P(B|A) = P(B)P(A|B)

8

2m5/10

📌 Key FormulaP(Aᵢ|B) = P(Aᵢ)P(B|Aᵢ) / Σ P(Aⱼ)P(B|Aⱼ)

9

2m4/10

📌 Key FormulaList of values with probabilities, mean = Σ xᵢ pᵢ, variance = Σ (xᵢ - μ)² pᵢ

10

2m2/10

📌 Key FormulaTrials with two outcomes, success and failure, with constant probability.

11

2m4/10

📌 Key FormulaP(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ, where p = probability of success, q = 1 - p