Set slider to 1.08; Notice variance = 1.16 : while they other Variance( Area) is = .5 - When ever you see 1.08 - think; 27 + 81 = 108 the Coefficients on my formula(a)
(sigma = 3.81 ) - Notice Point (M)
Analysis of the Normal Curve : In this investigation look for common numbers that refer to i- geometry, ( Notice the Points on the Variance Line and the Square Sides
( That Blue Point floating around is supposed to be at the intersection of the Quarter Circle - Hypotenuse: ie sigma = 2.28 ; Variance = 1; Top Left Corner figure)
- You might have to use your mouse and scroll to resize the diagram; I have a large screen so the pictures come out large - sorry.
Those Numbers are: 1, 1.16, 1.34 ,1.35 , 1.41, 1.42 1.5 , 1.57 , 1.64 , 1.79 , 1.99, 2 , 2.83 , 3.14 - Notice especially how these numbers are shown in the graphics
- ( The Numbers and Math at Bottom right is just for reference ) - Just simply to show values that appear in this geometry - Look for these numbers.
1) Click in Box (Std. Dev.) - Study Pink Dotted Line
2) Move slider to position ( .25 )
3) Investigate each listed value and look for the Numbers above to see how impressive their relationship is to each other.
4) You can adjust : Areas, Specific Lines, and Numbers to your liking to see all the different relationships.

Look at the Values in the Top Left Corner
Look at the Letters : R, S, T, M, W
Follow Tangent Lines