Problema Solution

Find the standard deviation.

The amount of sun-induced expansion in mm of a steel I-beam 10 m long before expansion 7.76, 7.76, 7.85, 7.79, 7.75

Answer provided by our tutors

the measurements are 7.76, 7.76, 7.85, 7.79, 7.75


we need to find the Mean and the Variance to find the Standard Deviation:


Mean = (7.76 + 7.76 + 7.85 + 7.79 + 7.75)/5


Mean = 7.782


to calculate the Variance, we need to take each difference, square it, and then average the result:


Variance = ((7.782-7.76)^2 + (7.782-7.76)^2 + (7.782-7.85)^2 + (7.782-7.79)^2 + (7.782-7.75)^2)/5


Variance = 0.001336


the Standard Deviation is just the square root of Variance:


Standard Deviation = 0.001336^0.5


Standard Deviation = 0.036551338