Gaussian curve

paul higginson

New Member
Joined
Sep 6, 2023
Messages
4
Office Version
  1. 365
Platform
  1. Windows
Hello,

I trying to realistically estimate capital expenditure for a building project.
For example if the project was to cost £12M and last 12 months the expenditure would be highest over months 3/4/5/6 etc but much less over 10/11/12.
Can anyone help me take this data and distribute it over a Gaussian curve?

Thank you.

Paul
 

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It has been over 15 years since I've done anything with with statistics.

So don't look too hard to me for an explanation on the math or how to adjust it. If you bring the amplitude closer to 0, it will increase the amount of money being allocated to the later months. If you bring the amplitude further from 0, the less money will be allocated to those months.

EXCEL
ABCDEFGH
1MonthMapNormX$ Per MonthTotal:12,000,000
21-10.2419712903649$924,278.42 Amplitude-1
32-0.727270.3062353674824$1,169,756.09 XSUM:37,698,364
43-0.454550.3597874317439$1,374,310.68 DIFF:0.3183162
54-0.181820.3924024708829$1,498,896.45
650.0909090.3972974767566$1,517,593.46
760.3636360.3734194481028$1,426,383.70
870.6363640.3258173909810$1,244,555.86
980.9090910.2639063166874$1,008,067.29
1091.1818180.1984372381239$757,987.00
11101.4545450.1385131662158$529,091.88
12111.7272730.0897551077057$342,844.78
131220.053991647891.6$206,234.39
14SUM:$12,000,000.00
Sheet3
Cell Formulas
RangeFormula
A2:A13A2=SEQUENCE(12)
B2:B13B2=$H$2+(($H$2*-3)/(MAX($A$2#)-MIN($A$2#))*(A2-MIN($A$2#)))
C2:C13C2=NORM.S.DIST(B2,FALSE)
D2:D13D2=C2:C13*H1
E2:E13E2=D2#*H4
H3H3=SUM(D2#)
H4H4=H1/H3
E14E14=SUM(E2#)
Dynamic array formulas.
 
Upvote 0
Dear lrobbo314,
Thank you, that's really helpful.
I can see that this plots a graph close to what I'm after. See below
I can see how to adjust the periods and the overall value together with the peak point, but is it possible to adjust this to obtain a start and finish at zero or near to zero?

1694076648517.png
 
Upvote 0
Like I said, I'm not great with statistics, so I'm just playing around with numbers here. But, how about this...?

Gaussian Distribution
ABCDEFGH
1MonthMapNormX$ Per MonthTotal:12,000,000
2197.31.07E-121.28E-05$0.00 Amplitude-1.7
31-1.70.0940491128589$579,009.30 XSUM:23,390,068
42-1.20.1941862330233$1,195,498.51 DIFF:0.5130383
53-0.70.3122543747047$1,922,378.58
64-0.20.3910434692512$2,407,438.36
750.30.3813884576654$2,347,998.49
860.80.2896923476299$1,783,474.20
971.30.1713692056423$1,055,023.73
1081.80.07895947401.9$486,053.42
1192.30.028327339924.5$174,394.25
12102.80.00791594985.42$48,731.15
13197.31.07E-121.28E-05$0.00
14SUM:$12,000,000.00
Sheet3
Cell Formulas
RangeFormula
B2:B13B2=$H$2+((9)/(MAX($A$2:$A$13)-MIN($A$2:$A$13))*($A$2:$A$13-MIN($A$2:$A$13)))
C2:C13C2=NORM.S.DIST(B2#,FALSE)
D2:D13D2=C2#*H1
E2:E13E2=D2#*H4
H3H3=SUM(D2#)
H4H4=H1/H3
E14E14=SUM(E2#)
Dynamic array formulas.
 
Upvote 1
Solution

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