I take samples in an experiment which results low (around 0) and high (around 60) values.
In many of the tests, there are more high values at the end of the experiment than at the beginning. The time is represented with the X-values and the results are the Y-values.
The representation of the data result of the experiment is this:
ListPlot[{{0, -4.21971153288256}, {7.4 E -
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{0.28290000000000004, 1.234066642921982}, {0.28339000000000003,
5.240926169367476}, {0.2838800000000001,
1.662752509346677}, {0.28437000000000007, -4.240443422313225}, \
{0.28486000000000006, -2.467018490183293}, {0.28535000000000005,
3.248076617948059}, {0.28584000000000004,
64.06437611184646}, {0.28842000000000007,
60.916070584188304}, {0.29100000000000004, -1.4308129095166524}, \
{0.29149, 0.9960194742006857}, {0.2919800000000001,
7.751024157869701}, {0.29247000000000006, -2.4367912117020545}, \
{0.29296000000000005, 66.50454577845349}, {0.29579000000000005,
0.3868975067741087}, {0.29628000000000004, -4.198440632863403}, \
{0.29677000000000003, -0.784394070425184}, {0.2972600000000001,
4.117104879855736}, {0.29775000000000007,
0.7610670746827497}, {0.29824000000000006, -1.7616800124158525}, \
{0.29873000000000005, 64.32067598808077}, {0.3013100000000001,
0.038963569324094116}, {0.30201000000000006,
65.00010751051035}, {0.30459, -2.422262877585998}, \
{0.3050800000000001, 0.34166854254753953}, {0.30557000000000006,
0.51549504083671}, {0.30606000000000005, -1.0239704351992371}, \
{0.30655000000000004, -0.8742932230463767}, {0.30704000000000004,
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5.767249727574841}, {0.30827000000000004,
2.9378327132660416}, {0.30876000000000003,
56.98606219388389}, {0.31134000000000006,
4.980633954811599}, {0.31183000000000005, -4.6301903801394335}, \
{0.31232000000000004, -2.120429081623045}, {0.31281000000000003,
4.387481874776742}, {0.3133, -3.0723140994731715}, {0.31379,
61.516765372882894}, {0.31637000000000004,
63.95605627626586}, {0.31895, -3.450437703425843}, \
{0.31986000000000003, -2.699996824957098}, {0.32035,
1.6027802902327886}, {0.32084, -3.007212767609859}, \
{0.32158000000000003, 64.13884722410792}, {0.32416,
65.48721757034359}, {0.32674000000000003,
59.91197526002391}, {0.32932, -0.20022743819367161}, {0.32981, \
-3.825045722279727}, {0.33030000000000004, -0.8181041837071946}, \
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1.36057549729239}, {0.33198,
10.951859728747952}, {0.33247000000000004,
64.47411921820787}, {0.33526, 0.7169168292733756}, {0.33575,
0.057132186308600307}, {0.33624000000000004, -2.001028032575919}, \
{0.33719000000000005,
66.09422768775252}, {0.33977, -1.0248511121393107}, {0.34026,
0.014778116592752865}, {0.34075000000000005,
3.443376458104738}, {0.34124000000000004,
6.25976272943825}, {0.34173000000000003,
57.06218119222528}, {0.34431,
3.2391463707720107}, {0.34480000000000005, -1.3438273938690617}, \
{0.34529000000000004,
3.8377659142124165}, {0.34578000000000003, -0.42145085406710636}, \
{0.34627, 1.9238924131436437}, {0.34676,
3.079109468514289}, {0.34725000000000006,
1.6928165390996655}, {0.34774000000000005,
66.47557672592701}, {0.35032,
64.3486125289075}, {0.35336000000000006,
3.2986912999693767}, {0.35385000000000005,
70.33279359092458}, {0.35643,
62.895389606619545}, {0.35922000000000004,
66.92701893625318}, {0.36180000000000007,
0.20399938745984025}, {0.36229000000000006,
4.1379901918787825}, {0.36299000000000003, -1.598772542307922}, \
{0.36348, 5.114699394355895}, {0.36397000000000007,
66.66422040304933}, {0.36676000000000003, -4.11619525734297}, \
{0.36725, -0.6267499642236695}, {0.36774000000000007,
3.5104460366867993}, {0.36823000000000006,
3.070527155297828}, {0.3689700000000001,
0.18130245814864865}, {0.36946000000000007, -1.0024390708763136}, \
{0.36995000000000006, 64.79950963883817}, {0.3725300000000001,
2.631143878779631}, {0.3730200000000001,
58.850548494598186}, {0.37581000000000003,
65.42430365350226}, {0.37860000000000005,
0.2456159154219463}, {0.37909000000000004,
68.51238287516719}, {0.38167000000000006,
2.4713564977510045}, {0.38216000000000006,
60.08237567445215}, {0.3847400000000001,
0.5264570292961943}, {0.3852300000000001, -1.602954870819255}, \
{0.38572000000000006, 64.11154730743226}, {0.38876000000000005,
4.569522969400989}, {0.38925000000000004,
64.88622914295644}, {0.39183,
0.5404709681281626}, {0.39232000000000006,
1.3445384841485923}, {0.39281000000000005,
3.717983234316953}, {0.39330000000000004, -0.3764953546116074}, \
{0.39463000000000004, 4.501855730953819}, {0.39512,
60.856900535033134}, {0.39770000000000005,
0.48314586502761553}, {0.39861,
3.9349819125415033}, {0.39935000000000004, -1.020364393509662}, \
{0.39984000000000003, 68.75300893687589}, {0.40242,
62.545099481070935}, {0.40521,
64.19819400449468}, {0.40779000000000004,
61.748224401916275}, {0.41037,
61.170857896045774}, {0.41295000000000004,
60.23341683901113}, {0.41553,
3.113661929135624}, {0.41644000000000003,
62.46941797360547}, {0.41902,
64.18975300834128}, {0.42160000000000003,
4.258345246411727}, {0.42276, 65.78388009094328}, {0.42534,
70.04562375163286}, {0.42918, -1.1170643571421572}, \
{0.43009000000000003, 65.45436899727177}, {0.43309000000000003,
0.8414433787470937}, {0.43425, 62.82536787024611}, {0.4383,
6.045428474936849}, {0.43879, 61.81099705276468}, {0.44179,
0.7940558444903262}, {0.44379, 4.844538272800004}, {0.44575,
63.334583316343995}, {0.44854, 65.5698972160897}, {0.45221,
59.691262905445214}, {0.45605, 62.94371499046423}},
PlotRange -> {{0, 0.46}, All}]
I would like to compute the mean value of the experiment but taking into account the time.
Probably, the solution is to get the area of the plot and divide by the period of time, but I do not know if there is a simple way the solve it. I would like to compute the mean without integrating.
Regards