JEE AdvancedHardQuestion 380010
Question
If Σxᵢ = 60, Σxᵢ² = 480, n = 10, then the standard deviation is:
- A√(480/10 − (60/10)²) = √(48−36) = √12
- B√12
- C2√3
- DAll of A, B, C are sameCorrect
Correct answer
All of A, B, C are same
Explanation
σ² = Σxᵢ²/n − (Σxᵢ/n)² = 480/10 − (6)² = 48 − 36 = 12. σ = √12 = 2√3 ≈ 3.46. All three expressions represent the same value.