Home > Statistical Methods calculators > Sample Variance, Standard deviation and coefficient of variation for grouped data calculator

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: Sample Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]

Solution:
Your problem -> Sample Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

 x(1) Frequency (f)(2) f*x(3)=(2)xx(1) f*x^2=(f*x)xx(x)(4)=(3)xx(1) 10 3 30 300 11 12 132 1452 12 18 216 2592 13 12 156 2028 14 3 42 588 --- --- --- --- n=48 sum f*x=576 sum f*x^2=6960

Mean bar x = (sum fx)/n

=576/48

=12

Sample Standard deviation S = sqrt((sum f*x^2 - (sum f*x)^2/n)/(n-1))

=sqrt((6960 - (576)^2/48)/47)

=sqrt((6960 - 6912)/47)

=sqrt(48/47)

=sqrt(1.0213)

=1.0106

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me