KCET2023MathematicsStatistics
The mean of 100 observations is 50 and their standard deviation is 5 . Then, the sum of squares of all observations is
Options
- A252500
- B250000
- C255000
- D50000
Correct answer
A. 252500
Step-by-step solution
We know, standard deviation, aligned P^2 & = x^2 n -( x )^2 P & =5, x=50, n=100 aligned aligned & 25= x^2 100 -(50)^2 & x^2=252500 aligned Thus, sum of squares of all observation in 252500 .