Question

Find the standard deviation of the following data. Round your answer to one decimal place. x 6 5-4321 P(X=x) | 0.3 | 0.1 | 0.2 | 0.1 | 0.1 | 0.2

Answer 1

The standard deviation is given by

$sigma=sqrt{E(X^2)-[E(X)]^2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)$

Where the expectations are given as

and

Hence by (1)

V/18-(-3.8)) = V3.56 1.886796 σ =