dataprocess.m

在mathematica环境下运行

(* ::Package:: *)

Clear["Global`*"];
n=612;
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a4={76.98000336,74.84500122,68.86499786,80.87000275,83.29499817,72.48999786,66.50499725,16.50000000,73.63999939,70.19000244,68.18000031,68.26999664,81.92500305,74.56500244,78.43499756,82.04499817,78.16500092,63.61500168,73.98999786,72.90000153,75.19499969,84.49500275,76.22000122,66.91999817,82.38500214,54.88999939,68.79000092,56.99000168,69.50499725,66.15499878,74.62500000,67.79000092,75.25000000,73.61000061,75.91000366,69.00499725,62.24499893,71.38500214,81.08499908,73.36000061,68.27999878,81.15000153,16.50000000,75.05999756,63.03499985,87.37999725,73.27999878,76.58999634,83.09500122,80.26999664,54.02999878,71.91000366,69.58499908,71.51000214,70.41999817,73.30999756,73.40499878,70.72000122,67.33499908,68.44999695,71.01000214,16.50000000,63.22499847,83.69000244,79.23000336,79.43499756,36.81000137,70.34999847,57.76499939,72.60500336,73.33000183,80.77999878,81.05000305,85.33000183,78.83499908,86.22499847,74.45999908,57.19499969,85.78500366,73.41000366,69.02999878,66.81999969,70.96499634,77.97499847,66.66500092,71.92500305,74.93499756,78.72000122,66.47000122,67.23500061,71.77500153,77.58499908,63.91500092,77.06999969,85.15499878,78.03500366,80.73500061,74.98999786,66.77500153,77.52999878,80.86750031,82.24500275,74.08499908,82.73000336,78.25000000,71.72499847,69.38500214,71.81999969,79.72000122,68.42500305,70.36000061,70.43499756,79.57499695,86.34999847,73.36000061,76.55500031,68.23999786,69.07499695,70.55999756,63.95999908,63.52000046,82.87000275,67.45500183,70.35500336,77.44999695,82.83000183,82.87999725,69.70714569,67.40499878,67.08000183,77.16999817,78.60500336,82.72499847,87.08999634,86.80000305,71.63500214,69.70500183,72.08499908,84.98999786,89.49500275,19.43023300,70.25000000,79.23500061,77.41500092,71.96499634,78.20999908,73.76999664,76.74500275,78.52500153,78.27999878,71.84999847,71.44499969,71.81500244,84.95999908,79.16999817,71.50000000,78.51499939,69.66000366,62.56000137,75.75499725,68.68000031,75.73500061,70.41000366,67.93499756,72.85500336,83.41500092,76.12500000,59.27500153,65.91999817,60.45500183,73.86499786,74.41999817,70.65000153,73.47499847,78.16999817,68.56999969,69.58000183,78.48000336,74.83999634,63.06999969,57.95999908,79.30999756,81.23000336,76.37500000,86.91999817,85.27500153,68.19000244,57.43000031,64.79499817,65.81500244,68.35500336,78.18499756,81.03500366,79.30999756,80.53500366,84.41500092,73.62500000,76.41000366,71.53500366,75.05999756,70.79499817,62.58000183,84.49500275,70.96499634,78.33000183,73.66999817,77.77999878,80.23500061,81.80999756,82.62000275,60.77045441,86.80999756,71.81500244,85.59750366,73.23000336,74.01000214,68.92500305,66.91000366,79.47250366,73.14499664,80.55000305,19.13513565,88.49500275,72.18499756,79.91999817,78.58499908,84.44499969,78.48000336,71.70999908,78.06999969,49.57812500,77.90000153,63.37500000,83.35500336,75.14499664,67.26999664,73.39499664,79.41000366,82.77999878,70.94000244,70.47000122,25.06500053,77.48500061,78.30999756,69.39499664,75.71499634,70.76999664,74.23500061,60.25500107,59.50000000,67.68000031,80.97000122,73.20500183,80.53500366,68.16000366,66.37500000,69.06999969,88.60500336,68.72000122,69.16500092,79.83000183,75.02999878,69.08499908,69.26999664,66.31999969,69.83999634,60.14500046,71.23999786,76.56500244,70.56500244,87.02999878,68.90499878,17.59459496,79.36399841,75.88600159,64.72699738,80.04499817,75.79499817,76.52300262,82.38600159,64.34100342,82.90899658,82.47699738,66.97699738,75.02300262,74.90899658,74.75000000,0.00000000,77.31800079,73.79499817,82.29499817,87.06800079,64.34100342,80.61399841,77.11399841,75.06800079,77.61399841,87.06800079,76.77300262,71.00000000,74.36399841,79.63600159,82.40899658,81.13600159,77.29499817,79.13600159,73.88600159,67.25000000,81.02300262,79.68199921,73.52300262,74.65899658,45.97399902,84.22699738,84.22699738,83.11399841,72.29499817,76.31800079,88.00000000,68.15899658,82.79499817,66.27300262,72.06800079,73.90899658,73.84100342,73.11399841,65.59100342,81.15899658,80.36399841,70.06800079,83.25000000,74.84100342,80.13600159,74.95500183,86.15899658,85.79499817,67.50000000,77.81800079,76.79499817,86.11399841,79.65899658,69.90899658,77.15899658,81.47699738,69.97699738,74.72699738,77.59100342,62.75000000,76.18199921,81.56800079,84.88600159,83.22699738,83.43199921,77.70500183,79.06800079,69.97699738,66.97699738,72.61399841,73.97699738,82.25000000,80.38600159,77.22699738,76.77300262,81.20500183,54.25000000,68.45500183,84.27300262,82.65899658,67.90899658,73.40899658,70.31800079,81.65899658,78.68199921,74.43199921,86.25000000,78.27300262,85.86399841,69.86399841,76.88600159,85.68199921,87.70500183,63.06800079,75.75000000,86.88600159,84.06800079,85.02300262,71.28600311,80.06800079,84.29499817,79.84100342,80.59100342,82.20500183,66.84100342,89.52300262,86.13600159,73.61399841,77.50000000,82.65899658,83.59100342,69.40899658,87.45500183,78.45500183,88.34100342,82.31800079,86.27300262,71.50000000,73.27300262,83.75000000,69.25000000,80.40899658,81.02300262,77.50000000,84.61399841,78.40899658,79.40899658,74.15899658,86.95500183,72.63600159,82.75000000,69.81800079,76.34100342,74.25000000,62.56800079,77.31800079,82.59100342,85.29499817,57.86399841,85.09100342,81.77300262,83.36399841,68.04499817,72.61399841,75.13600159,80.75000000,84.29499817,78.15899658,72.68199921,84.11399841,70.15899658,82.00000000,84.09100342,79.11399841,76.65899658,85.43199921,86.20500183,86.25000000,82.97699738,82.50000000,76.22699738,77.22699738,74.50000000,64.25000000,69.45500183,81.02300262,61.59099960,75.56800079,79.43199921,84.27300262,74.34100342,86.31800079,87.25000000,79.40899658,74.04499817,84.25000000,83.75000000,72.50000000,83.20500183,79.31800079,70.19599915,72.38600159,81.97699738,85.72699738,78.37500000,75.19999695,77.50000000,86.15000153,73.00000000,83.07499695,75.92500305,85.34999847,77.02500153,78.40000153,83.82499695,72.90000153,86.32499695,79.05000305,81.84999847,71.80000305,66.77500153,81.25000000,56.54999924,79.65000153,86.27500153,82.75000000,79.40000153,81.05000305,81.40000153,72.19999695,80.32499695,70.00000000,84.30000305,84.27500153,72.77500153,75.34999847,84.82499695,74.30000305,84.17500305,77.12500000,83.72499847,79.84999847,75.37500000,75.50000000,77.47499847,66.30000305,79.37500000,82.12500000,84.05000305,73.75000000,71.87500000,77.77500153,66.55000305,67.44999695,84.72499847,86.69999695,86.00000000,78.37500000,77.80000305,82.42500305,71.17500305,87.02500153,83.12500000,83.50000000,74.34999847,86.17500305,79.15000153,83.80000305,79.00000000,82.17500305,89.62500000,80.72499847,86.05000305,76.80000305,74.09799957,74.15000153,75.00000000,78.94999695,78.69999695,76.94999695,77.17500305,69.19999695,82.77500153,61.84999847,81.72499847,86.27500153,74.52500153,76.40000153,27.62800026,73.84999847,72.07499695,72.62500000,82.37500000,79.15000153,70.17500305,85.27500153,50.67499924,83.52500153,77.11900330,68.47499847,76.27500153,77.27500153,75.50000000,75.94999695,72.27500153,79.17500305,85.59999847,84.42500305,69.97499847,81.02500153,81.17500305,79.80000305,89.47499847,83.30000305,86.40000153,83.15000153,77.27500153,77.25000000,71.00000000,73.59999847,74.84999847,86.00000000,73.59999847,83.62500000,72.75000000,80.72499847,49.83300018,66.37500000,84.65000153,80.09999847,76.44999695,76.67500305,71.69999695,85.25000000,75.34999847,78.65000153,82.90000153,82.00000000,72.59999847,79.90000153,83.25000000,80.55000305,86.44999695,73.69999695};
a={a1,a2,a3,a4};
Histogram[a]
Histogram[a1]
Histogram[a2]
Histogram[a3]
Histogram[a4]
av1=1/n Apply[Plus,a1]
av2=1/n Apply[Plus,a2]
av3=1/n Apply[Plus,a3]
av4=1/n Apply[Plus,a4]
\[Sigma]1=Sqrt[1/(n-1) Apply[Plus,(a1-av1)^2]]
\[Sigma]2=Sqrt[1/(n-1) Apply[Plus,(a2-av2)^2]]
\[Sigma]3=Sqrt[1/(n-1) Apply[Plus,(a3-av3)^2]]
\[Sigma]4=Sqrt[1/(n-1) Apply[Plus,(a4-av4)^2]]
Sk1=Skewness[a1]
Sk2=Skewness[a2]
Sk3=Skewness[a3]