Question

In: Statistics and Probability

Find the standard deviation of the following data. Round your answer to one decimal place. x...

Find the standard deviation of the following data. Round your answer to one decimal place. x −6 −5 −4 −3 −2 −1 P(X=x) 0.1 0.1 0.3 0.1 0.1 0.3

Solutions

Expert Solution

Solution:

x P(x) x * P(x) x2 * P(x)
-6 0.1 -0.6 3.6
-5 0.1 -0.5 2.5
-4 0.3 -1.2 4.8
-3 0.1 -0.3 0.9
-2 0.1 -0.2 0.4
-1 0.3 -0.3 0.3
Sum 1 -3.1 12.5

Mean = X * P(X)

= -3.1

Standard deviation =

=X 2 * P(X) - 2

=  12.5 - (-3.1)2 = 2.89

Standard deviation = = 1.7


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