Consider the following data:

Question

Question

x	-7	-6	-5	-4	-3
P(X=x)	0.2	0.1	0.2	0.2	03

Step 3 of 5: Flind the standard deviation. Round your answer to one decimal place. Answer How to enter your answer

Answer 1

✔ Recommended Answer

Answer #1

solution:-

standard deviation formula σ = sqrt(∑x^2⋅p(x)−μ^2)

=> ∑x^2⋅p(x) = (((-7)^2*0.2) + ((-6)^2*0.1) + ((-5)^2*0.2) + ((-4)^2*0.2) + ((-3)^2*0.3))

= 24.3

=> μ = ((-7*0.2) + (-6*0.1) + (-5*0.2) + (-4*0.2) + (-3*0.3))

= - 4.7

=> σ = sqrt(∑x^2⋅p(x)−μ^2)

= sqrt(24.3 - (-4.7)^2)

= 1.5

Answer 2

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