Anybody here know how to calculate a standard error statistics problem?

Question

How would I calculate a standard error statistics problem with data that is a sample of 4 from a population of 10. The data are 43, 47, 48, and 42.

Thanks.

cidyah · Accepted Answer

43,47,48,42
∑x = 43+47+48+42 = 180
∑x^2 = 43^2+47^2+48^2+42^2 = 8126

Variance = (∑x^2 - ( ∑ x)^2 / n ) / (n-1)
= (8126 - (180)^2 / 4) / 3
= 8.6667

Standard deviation = sqrt( 8.6667) = 2.9439

Standard error of mean = standard deviation / sqrt(4) = 2.9439 / 2  = 1.472

Dream Achiever · Answer

Thank you.  That really helped me.

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