# Discussion 8.

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Statistics
School
Florida Southwestern State College
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Discussion 8
From the graph,
The central value that lies in the axis of symmetry of the normal distribution graph is 80. Therefore,
Mean (µ) = 80
Also, the first standard index lies at the point, X = 86 towards the right and X = 74 towards the
left. Hence,
Standard deviation (σ) = (80 74) = (86 80) = 6
We know that the point of inflection which is the point where the curve changes from concave up
to concave down or vice versa occur for a normal distribution curve at two points, one point being
one SD up from mean whereas another one SD down from mean.
Therefore,
1
st
point of inflection is, X = 74
2
nd
point of inflection is, X = 86
We know,
P ( 󰇜 = 1 P ( 󰇜
= 1 0.0104
= 0.9896
Therefore, P (  󰇜 = 0.9896

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Discussion 8 Answer 1) From the graph, The central value that lies in the axis of symmetry of the normal distribution graph is 80. Therefore, Mean (µ) = 80 Also, the first standard index lies at the point, X = 86 towards the right and X = 74 towards the left. Hence, Standard deviation (σ) = (80 – 74) = (86 – 80) = 6 Answer 2) We know that the point of inflection which is the point where the curve changes from concave up to concave down or vice versa occur for a normal distribution curve at two points, one point being one SD up from mean whereas another one SD down from mean. Therefore, ...
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