NDA2024MathematicsStatisticsActual
Let _ i=1 ^9 x_i^2=855 . If M is the mean and is the standard deviation of x₁, x₂, . . x₉ , then what is the value of M ^2+ ^2 ?
Options
- A100
- B95
- C90
- D85
Correct answer
B. 95
Step-by-step solution
Given that _ i =1 ^9 x ₁ ^2=855 We know that variance (6^2 )= _ i=1 ^9 x₁ ^2 ~N -( Mean )^2 aligned & 6^2= 855 9 - M ^2 & 6^2+ M ^2= 855 9 =95 aligned