NDA2016MathematicsStatisticsActual
If the total number of observations is 20, x _ i =1000 and x _ i ^2=84000 , then what is the variance of the distribution?
Options
- A1500
- B1600
- C1700
- D1800
Correct answer
C. 1700
Step-by-step solution
Total no. of observation (n)=20 aligned & x_i=1000 & x = x_i n = 1000 20 =50 & Variance =s d^2 & s d= 1 n x_i^2-( x )^2 & (s d)^2= 1 n x_i^2-( x )^2= 84000 20 -(50)^2 & =4200-2500=1700 & Variance =1700 aligned