help with Averaging
- To: mathgroup at smc.vnet.net
- Subject: [mg41951] help with Averaging
- From: Charudatta Bhat <cbhat at purdue.edu>
- Date: Wed, 11 Jun 2003 13:17:35 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
for some reason I am not being able to post my message to the
mathematica group: comp.soft-sys.math.mathematica Hence I decided to
email you my question. Let me know if you know the answer.
++++++++++++++++++++++++++++++++++++++++++++++++++++++ Three
repetitions of an experiment were carried out. The data is copy pated
below. I hope the main contributors on this email list are able to
import this data into a spread sheet program and have a look at it. If
you are not let me know and I should be able to send that data to you
in some other format of your preference. In the data, X coordinate is
'Time' expressed in minutes. Y coordinate is 'Gas concentration'
expressed in PPM. If you look and plot the data for all the
repetitions, you will see that all the plots are not exactly the same.
The difference is mainly due to the inherrent errors and variance
factors in any experiment. What I am looking for is a mathematical tool
or a treatment or some way of coming up with one data set representing
the average effect of all the three repetions. Repetition 1 {0,287.9},
{1,288.5}, {2,288.4}, {3,289.4}, {4,290.1}, {5,290.1}, {6,291.1},
{7,292.8}, {8,293.8}, {9,294.6}, {10,295.9}, {11,296.4}, {12,296.6},
{13,297.7}, {14,298.5}, {15,298.9}, {16,300.1}, {17,300.3}, {18,301.2},
{19,300.4}, {20,299.7}, {21,299.7}, {22,301.2}, {23,300.9}, {24,300.4},
{25,299.6}, {26,299.4}, {27,300.2}, {28,300.6}, {29,301.4}, {30,301.7},
{31,302.4}, {32,303.1}, {33,303.6}, {34,303.5}, {35,304.3}, {36,305.6},
{37,306.1}, {38,305.9}, {39,305.1}, {40,305.8}, {41,306.5}, {42,307},
{43,306.6}, {44,306.7}, {45,306.8}, {46,307.5}, {47,307.3}, {48,308.4},
{49,307.6}, {50,306.7}, {51,306.8}, {52,306.2}, {53,306.4}, {54,307.8},
{55,307.6}, {56,306.4}, {57,307.6}, {58,307}, {59,306.9}, {60,306.6},
{61,307.3}, {62,308.5}, {63,308.3}, {64,308.4}, {65,310.1}, {66,311.6},
{67,311.5}, {68,312.1}, {69,312}, {70,313.1}, {71,313.6}, {72,314.8},
{73,314.8}, {74,314.8}, {75,316}, {76,315.7}, {77,316.7}, {78,315.6},
{79,317.9}, {80,318.4}, {81,320}, {82,321}, {83,321.1}, {84,319.1},
{85,320.7}, {86,320.5}, {87,319.4}, {88,319.2}, {89,318.7}, {90,319.8},
{91,319.8}, {92,319.2}, {93,319.7}, {94,320.7}, {95,319.3}, {96,316.8},
{97,316.6}, {98,315.8}, {99,316.2}, {100,318}, {101,319}, {102,321.6},
{103,321.6}, {104,323}, {105,324.2}, {106,325.3}, {107,326.1},
{108,325.9}, {109,327.1}, {110,327.1}, {111,327.1}, {112,326.7},
{113,326.6}, {114,328.2}, {115,326}, {116,328}, {117,328.5},
{118,329.7}, {119,330.8}, {120,330.5}, {121,331.1}, {122,331.2},
{123,331}, {124,332.1}, {125,332.6}, {126,334.6}, {127,336},
{128,336.1}, {129,335.8}, {130,335.5}, {131,334.6}, {132,334.3},
{133,334}, {134,335.9}, {135,335.9}, {136,335.4}, {137,336.3},
{138,336.5}, {139,336.6}, {140,335.5}, {141,335.7}, {142,335.3},
{143,333.6}, {144,334.9}, {145,334.6}, {146,336.8}, {147,336.1},
{148,335.1}, {149,335.4}, {150,336}, {151,334.5}, {152,332.6},
{153,332.6}, {154,334.3}, {155,333.3}, {156,332.1}, {157,333.5},
{158,335}, {159,337.3}, {160,339.6}, {161,340.3}, {162,341.1},
{163,341.3}, {164,341.4}, {165,340.9}, {166,339.7}, {167,340.4},
{168,339.1}, {169,337.9}, {170,338.5}, {171,338.5}, {172,339.8},
{173,339.4}, {174,340.2}, {175,339.6}, {176,340.2}, {177,339.8},
{178,337.6}, {179,337.4}, {180,337.4}, {181,337.8}, {182,338},
{183,338.1}, {184,338.6}, {185,338.5}, {186,339.4}, {187,339.2},
{188,339.4}, {189,340.3}, {190,340.5}, {191,339.3}, {192,340.3},
{193,341.3}, {194,342}, {195,341.7}, {196,343.1}, {197,344.1},
{198,343.6}, {199,343.6}, {200,345}, {201,345.1}, {202,344.8},
{203,343.6}, {204,341.8}, {205,341.5}, {206,342.2}, {207,341.8},
{208,342.6}, {209,342.2}, {210,342.9}, {211,343.8}, {212,343.4},
{213,345.7}, {214,345.3}, {215,346.7}, {216,345.1}, {217,345.2},
{218,344.5}, {219,345.1}, {220,344.6}, {221,343.3}, {222,342.8},
{223,342}, {224,340.6}, {225,342.8}, {226,344.2}, {227,345.1},
{228,344.8}, {229,343.3}, {230,343.4}, {231,344.3}, {232,346.8},
{233,349.5}, {234,348.8}, {235,349.2}, {236,349}, {237,347.9},
{238,346.4}, {239,346.3}, {240,348.2}, {241,347.6}, {242,347.8},
{243,348.4}, {244,347.6}, {245,348}, {246,347.1}, {247,346.2},
{248,346.2}, {249,346.2}, {250,344.7}, {251,344.1}, {252,344.2},
{253,345.2}, {254,345.8}, {255,345.2}, {256,346.1}, {257,345.7},
{258,347.3}, {259,346.8}, {260,348.1}, {261,349}, {262,349.5},
{263,350.5}, {264,348.2}, {265,349.1}, {266,347.7}, {267,344.2},
{268,344.4}, {269,346.2}, {270,347.1}, {271,347.2}, {272,343},
{273,340.4}, {274,341.3}, {275,341}, {276,341.2}, {277,342.1},
{278,341.6}, {279,341.2}, {280,341.3}, {281,342}, {282,342.7},
{283,342.8}, {284,343.3}, {285,343.6}, {286,344.3}, {287,344},
{288,343.1}, {289,341.6}, {290,339.8}, {291,338.6}, {292,338.8},
{293,338.1}, {294,339.1}, {295,339.8}, {296,340}, {297,341.2},
{298,341.8}, {299,342.8}, {300,342}, {301,341.4}, {302,340.8},
{303,340.6}, {304,340.8}, {305,340.5}, {306,340.1}, {308,339},
{308,339.3}, {308,340.8}, {309,339.1}, {309,339.9}, {309,340.3},
{309,341.2}, {310,341.6}, {310,343.3}, {310,343.9}, {310,345.3},
{311,345.9}, {311,347.1}, {311,349.6}, {311,351.2}, {312,356.6},
{312,362.5}, {312,368.6}, {312,372.5}, {313,375.6}, {313,381.8},
{313,387.8}, {313,390.9}, {314,389.8}, {314,397}, {314,403.3},
{314,410.6}, {315,415}, {315,416.1}, {315,414.2}, {315,411.9},
{316,408.5}, {316,408.2}, {316,406.4}, {316,400.4}, {317,392.8},
{317,394.2}, {317,390.6}, {317,387.1}, {318,384.1}, {318,387.7},
{318,383}, {318,378.9}, {319,374.2}, {319,376.1}, {319,371.6},
{319,366.1}, {320,362.9}, {320,361.9}, {320,358.3}, {320,353.6},
{321,353}, {321,353.8}, {321,350}, {321,348.9}, {322,348.1},
{322,347.9}, {322,346.3}, {322,346}, {323,345.5}, {323,344.3},
{323,343.2}, {323,342.1}, {324,342.8}, {324,341.2}, {324,339},
{324,341.2}, {325,340.2}, {325,339.6}, {325,338.4}, {325,339.8},
{326,338.1}, {326,338.7}, {326,338}, {326,339.9}, {327,337.6},
{327,336.9}, {327,335.4}, {327,336.5}, {328,335.8}, {328,334.9},
{328,332.5}, {328,334}, {329,332.7}, {329,331.4}, {329,331},
{329,331.8}, {330,330.1}, {330,327.3}, {330,327.5}, {330,327.4},
{331,325.5}, {331,324.2}, {331,324}, {331,324.5}, {332,323},
{332,321.5}, {332,321.6}, {332,322.8}, {333,321.3}, {333,320.2},
{333,319.9}, {333,320.9}, {334,319.6}, {334,318.1}, {334,319.1},
{334,318.5}, {335,318.1}, {335,317.7}, {335,318.3}, {335,317.8},
{336,317.1}, {336,317.5}, {336,316.3}, {336,315.8}, {337,315.2},
{337,315.5}, {337,315.5}, {337,314.6}, {338,314}, {338,315.1},
{338,314.4}, {338,313.6}, {339,312.9}, {339,314}, {339,313.8},
{339,312.9}, {340,313.3}, {340,314.4}, {340,312.8}, {340,312.4},
{341,314.7}, {341,315.5}, {341,315} Repetition 2 {0,255.8}, {1,257},
{2,256.6}, {3,256.5}, {4,256.2}, {5,256.5}, {6,256.8}, {7,257.3},
{8,257.1}, {9,257.2}, {10,258.1}, {11,256.9}, {12,257.9}, {13,259},
{14,259.5}, {15,258.2}, {16,258.9}, {17,259.7}, {18,259.6}, {19,259.2},
{20,259.4}, {21,261.4}, {22,259.6}, {23,260.2}, {24,260.1}, {25,260.4},
{26,260.3}, {27,260.7}, {28,260.7}, {29,262.1}, {30,260.2}, {31,261.1},
{32,261.8}, {33,263.2}, {34,261.8}, {35,263.2}, {36,264.6}, {37,264.2},
{38,263.8}, {39,265.8}, {40,266.7}, {41,265.7}, {42,266.6}, {43,267.1},
{44,269.1}, {45,268.8}, {46,270.3}, {47,271.1}, {48,272}, {49,270.6},
{50,271.9}, {51,273.3}, {52,273.9}, {53,271.9}, {54,272.8}, {55,274.2},
{56,274.4}, {57,274}, {58,275.1}, {59,276.3}, {60,276.9}, {61,277.3},
{62,278.3}, {63,279.7}, {64,278.9}, {65,279.3}, {66,279.9}, {67,280.1},
{68,279.8}, {69,280.6}, {70,280.1}, {71,281.4}, {72,279.3}, {73,279.2},
{74,278.9}, {75,278.6}, {76,277.9}, {77,279.5}, {78,280.9}, {79,280.8},
{80,281.8}, {81,282.6}, {82,283.3}, {83,281.9}, {84,281.3}, {85,281.8},
{86,282.4}, {87,282.3}, {88,282.4}, {89,283.1}, {90,283.8}, {91,283.1},
{92,283.3}, {93,283.6}, {94,285.1}, {95,283.7}, {96,284.2}, {97,283.8},
{98,283.9}, {99,283.4}, {100,283.6}, {101,283.9}, {102,283.1},
{103,281.4}, {104,282}, {105,283.4}, {106,282.5}, {107,282.4},
{108,284.1}, {109,285}, {110,286.1}, {111,283.7}, {112,283.7},
{113,283.5}, {114,283.6}, {115,283.9}, {116,282.7}, {117,285},
{118,284.3}, {119,285.9}, {120,284.4}, {121,284}, {122,281.1},
{123,282.3}, {124,283.1}, {125,281.8}, {126,282}, {127,281.4},
{128,281.9}, {129,279.6}, {130,279.5}, {131,280.6}, {132,281.4},
{133,281}, {134,284.1}, {135,285.4}, {136,286.5}, {137,286.5},
{138,286}, {139,287.2}, {140,286.9}, {141,287.1}, {142,286.2},
{143,285.4}, {144,283.7}, {145,284.7}, {146,285.5}, {147,284.6},
{148,285.5}, {149,286.8}, {150,286.5}, {151,284.5}, {152,285.2},
{153,284.9}, {154,283.3}, {155,285}, {156,286.4}, {157,287.7},
{158,286.1}, {159,286.7}, {160,287.6}, {161,287.3}, {162,289.8},
{163,291.9}, {164,290.9}, {165,290.4}, {166,289.1}, {167,289.9},
{168,287.2}, {169,287.7}, {170,286.7}, {171,287.6}, {172,290.4},
{173,293.1}, {174,293.9}, {175,294}, {176,293.9}, {177,292.8},
{178,291.3}, {179,292.3}, {180,293.3}, {181,292}, {182,291.1},
{183,291.1}, {184,291.3}, {185,291}, {186,291.5}, {187,291.7},
{188,290.9}, {189,290.8}, {190,291}, {191,290.9}, {192,291.6},
{193,292.4}, {194,293.3}, {195,295.7}, {196,295.9}, {197,297.4},
{198,296.6}, {199,297.5}, {200,298.4}, {201,297.1}, {202,298.2},
{203,297.2}, {204,295}, {205,296.1}, {206,296.8}, {207,294.2},
{208,294.8}, {209,295.3}, {210,293.7}, {211,294.6}, {212,295.4},
{213,294}, {214,295.9}, {215,297.4}, {216,296.1}, {217,297.3},
{218,297}, {219,296}, {220,296.9}, {221,297.7}, {222,296.8},
{223,298.2}, {224,297.8}, {225,296.9}, {226,298.5}, {227,298.6},
{228,297.7}, {229,298.9}, {230,299.7}, {231,299.3}, {232,299.8},
{233,299.6}, {234,300.4}, {235,301}, {236,299.5}, {237,300.5},
{238,300.9}, {239,299.4}, {240,300.3}, {241,301.1}, {242,299.9},
{243,301}, {244,300.8}, {245,301.1}, {246,302.8}, {247,301.9},
{248,302.8}, {249,302.9}, {250,301.1}, {251,301.9}, {252,302.2},
{253,301.8}, {254,303}, {255,302}, {256,302.5}, {257,303.1},
{258,301.8}, {259,302.3}, {260,302.4}, {261,300.8}, {262,301},
{263,300.2}, {264,300.5}, {265,301}, {266,299.3}, {267,300.2},
{268,300.5}, {269,299.2}, {270,299.4}, {271,298.2}, {272,299.1},
{273,299.9}, {274,298.8}, {275,299.4}, {276,298.6}, {277,298.4},
{278,298.9}, {279,296.6}, {280,298.2}, {281,298.6}, {282,297.1},
{283,296.8}, {284,296}, {285,296.3}, {286,296.3}, {287,295.9},
{288,296.1}, {289,295.7}, {290,295.3}, {291,295.9}, {292,294.7},
{293,294.8}, {294,295}, {295,294.3}, {296,294.7}, {297,293}, {298,294},
{299,294}, {300,293}, {301,293.9}, {302,291.7}, {303,292.9},
{304,292.5}, {306,290.2}, {306,291.9}, {306,291.6}, {307,291.5},
{307,291.7}, {307,291.1}, {307,290.5}, {308,291.3}, {308,292},
{308,292.3}, {308,293.3}, {309,292.5}, {309,293.5}, {309,294.1},
{309,297}, {310,299.4}, {310,299.9}, {310,298.9}, {310,301.5},
{311,304.9}, {311,305}, {311,305.9}, {311,307.6}, {312,307.5},
{312,307.8}, {312,307.8}, {312,306.4}, {313,307.5}, {313,307.5},
{313,307.2}, {313,306.7}, {314,306}, {314,304.6}, {314,303.4},
{314,303.8}, {315,302.5}, {315,301.5}, {315,300.5}, {315,298.8},
{316,297.4}, {316,297.3}, {316,296.9}, {316,295}, {317,293.6},
{317,292.4}, {317,291.6}, {317,290.3}, {318,289.7}, {318,288.7},
{318,288.4}, {318,286.2}, {319,286.7}, {319,285}, {319,283.2},
{319,283.7}, {320,283.8}, {320,282.3}, {320,281.9}, {320,280.3},
{321,279.1}, {321,279.1}, {321,279}, {321,278.9}, {322,277.5},
{322,277.4}, {322,276.1}, {322,275.1}, {323,275.1}, {323,275.2},
{323,274.9}, {323,274.1}, {324,273.2}, {324,272.1}, {324,272.4},
{324,272.6}, {325,271.6}, {325,271}, {325,271}, {325,270.3},
{326,269.3}, {326,269.5}, {326,270}, {326,269.3}, {327,269.4},
{327,269.1}, {327,268.3}, {327,267.4}, {328,268.9}, {328,268.4},
{328,267.5}, {328,268.2}, {329,266.8}, {329,266.7}, {329,266},
{329,267}, {330,267.1}, {330,266.5}, {330,265.8}, {330,265.7},
{331,264.7}, {331,265.7}, {331,265.8}, {331,265.1}, {332,265.6},
{332,265}, {332,264.2}, {332,264.4}, {333,264.9}, {333,264.1},
{333,264.5}, {333,263.9}, {334,263.7}, {334,262.7}, {334,263.2},
{334,263.7}, {335,264.4}, {335,263.8}, {335,263.2}, {335,262.6},
{336,261.8}, {336,263.2}, {336,262.8} Repetition 3 {0,296.5},
{1,294.5}, {2,292.2}, {3,291.4}, {5,292.5}, {5,293.3}, {6,293.3},
{8,293.9}, {8,293.9}, {9,293}, {11,293.8}, {11,294.5}, {12,294.5},
{14,295.6}, {14,295.2}, {15,294.1}, {16,294.9}, {17,295.9}, {18,296.3},
{19,297.1}, {21,297.6}, {21,297}, {22,297.4}, {24,298.8}, {24,299.9},
{25,300.7}, {27,301.5}, {27,302.4}, {28,303.1}, {30,302.7}, {30,304.8},
{31,304.9}, {32,306.1}, {34,307.4}, {34,308.4}, {35,307.2}, {37,307.8},
{37,308.3}, {38,309.2}, {40,309.4}, {40,310.7}, {41,310.7}, {43,310},
{43,309.7}, {44,308.4}, {45,308.8}, {46,309.2}, {47,309.3}, {48,309},
{50,308.9}, {50,309.1}, {51,308.4}, {53,306.7}, {53,307.3}, {54,307.7},
{56,308.4}, {56,308.7}, {57,309.4}, {59,309.7}, {59,310.1}, {60,308.6},
{61,309.4}, {62,308.8}, {63,309.1}, {64,309.5}, {66,309}, {66,310},
{67,310.1}, {69,310}, {69,309.8}, {70,311.1}, {72,311.7}, {72,311.6},
{73,311.1}, {75,312}, {75,312.7}, {76,313.5}, {77,314.7}, {79,314.4},
{79,315}, {80,316.1}, {82,317.4}, {82,317.9}, {83,318.6}, {85,320.1},
{85,320.2}, {86,320.6}, {88,321}, {88,321}, {89,320.6}, {90,319.5},
{91,320.5}, {92,320.5}, {93,320.1}, {95,319.5}, {95,319.4}, {96,319.1},
{98,317.9}, {98,317.8}, {99,317.6}, {101,316.2}, {101,317}, {102,317},
{104,316.2}, {104,315.9}, {105,315.2}, {106,315}, {107,314.6},
{108,313.3}, {109,312.3}, {111,311.6}, {111,312.3}, {112,312.3},
{114,313.3}, {114,313.7}, {115,314.5}, {117,314.6}, {117,314},
{118,313.6}, {120,314.2}, {120,315.7}, {121,315.7}, {122,316.7},
{124,316.3}, {124,316.3}, {125,317.1}, {127,316.1}, {127,315.9},
{128,316.6}, {130,316.9}, {130,317.6}, {131,317.3}, {133,317.5},
{133,317.7}, {134,316.1}, {135,315.3}, {136,315.3}, {137,315.7},
{138,316.2}, {140,316.1}, {140,316.4}, {141,316.1}, {143,314.4},
{143,314.2}, {144,314.8}, {146,315}, {146,315.5}, {147,315.3},
{149,315.6}, {149,314.4}, {150,313.3}, {151,313.9}, {152,314.4},
{153,314.7}, {154,315.7}, {156,316.2}, {156,315.4}, {157,315.1},
{159,315.6}, {159,315.5}, {160,316.2}, {162,316.5}, {162,318},
{163,316.3}, {165,316.1}, {165,317.7}, {166,318.1}, {167,316.6},
{169,316.4}, {169,316.7}, {170,315.6}, {172,315.6}, {172,317.1},
{173,316.8}, {175,317.1}, {175,316.8}, {176,316.5}, {178,315.1},
{178,315.1}, {179,315.3}, {180,315.8}, {181,315.9}, {182,317.6},
{183,316.2}, {185,315.7}, {185,316.1}, {186,315.3}, {188,316.4},
{188,316.5}, {189,315.9}, {191,314}, {191,314.4}, {192,314.1},
{194,314.4}, {194,314.5}, {195,313.7}, {196,312.9}, {197,313.9},
{198,313.7}, {199,314}, {201,313.3}, {201,312.8}, {202,311.2},
{204,311.7}, {204,311}, {205,310.7}, {207,310.9}, {207,309.6},
{208,309.7}, {210,310.5}, {210,310.4}, {211,310.1}, {212,309.7},
{214,309.4}, {214,308.8}, {215,308.5}, {217,309}, {217,308.6},
{218,307.3}, {220,307.4}, {220,308}, {221,308.4}, {223,307.7},
{223,306.5}, {224,307}, {225,307.5}, {226,307}, {227,306.3},
{228,306.4}, {230,307}, {230,307.1}, {231,306.6}, {233,306.2},
{233,306.5}, {234,306.5}, {236,307.1}, {236,307.1}, {237,305.8},
{239,306.2}, {239,306.6}, {240,306.4}, {241,304.4}, {242,304.6},
{243,304.9}, {244,305}, {246,304.3}, {246,304.2}, {247,304.5},
{249,305}, {249,305.6}, {250,302.6}, {252,303.4}, {252,303.3},
{253,303.2}, {255,302}, {255,303.2}, {256,303.6}, {257,303.7},
{259,301.8}, {259,302.2}, {260,302.6}, {262,302.8}, {262,302.4},
{263,302.4}, {265,302.8}, {265,303}, {266,301.6}, {268,302.4},
{268,302.6}, {269,303.2}, {270,301.8}, {271,303.5}, {272,303.6},
{273,303.7}, {275,303}, {275,303.8}, {276,304}, {278,303.3},
{278,302.2}, {279,302.9}, {281,304}, {281,301.7}, {282,303.1},
{284,302.9}, {284,303.1}, {285,302.2}, {286,303.5}, {287,303},
{288,302.1}, {289,302.4}, {291,302.9}, {291,303.2}, {292,302},
{294,302.5}, {294,303.4}, {296,303.5}, {297,302.1}, {297,303.1},
{298,302.9}, {300,301.7}, {301,302.7}, {301,303.1}, {302,302.9},
{304,302.4}, {304,302.9}, {306,302.2}, {307,301.4}, {307,302.5},
{309,301.8}, {310,302.2}, {311,300.7}, {311,302}, {313,301.7},
{314,299.8}, {314,300.4}, {316,300.5}, {316,301.2}, {318,299.9},
{319,300.6}, {320,301.4}, {321,299.7}, {322,301}, {323,301.2},
{324,300.4}, {324,301}, {326,301.2}, {327,302.1}, {328,301},
{329,301.4}, {330,301.4}, {331,299.7}, {332,300.6}, {333,301.9},
{334,300.6}, {335,300.8}, {336,301.4}, {337,302.6}, {338,301.1},
{339,302.7}, {340,303}, {341,303}, {342,303.4}, {343,303.5},
{344,303.6}, {345,303.9}, {346,305}, {347,305.2}, {348,303.4},
{349,303.8}, {350,304.3}, {351,303}, {352,304.3}, {353,304.7},
{354,304.8}, {355,304.2}, {356,305.9}, {357,304.9}, {358,305},
{359,304.9}, {360,304.3}, {361,303.8}, {362,304.9}, {363,305.1},
{364,304.1}, {365,305}, {366,306.3}, {367,305.1}, {368,304.8},
{369,305.1}, {370,306.1}, {371,305.8}, {372,306.5}, {372,306.6},
{372,306.4}, {372,306.6}, {373,305.6}, {373,307.2}, {373,313},
{373,320.9}, {374,322.3}, {374,322.3}, {374,323.9}, {374,327.7},
{375,338.5}, {375,346.2}, {375,359.9}, {375,364.7}, {376,368.6},
{376,376.4}, {376,388.7}, {376,399.7}, {377,408.5}, {377,413.5},
{377,430.9}, {377,455}, {378,469.9}, {378,476.3}, {378,488.6},
{378,507}, {379,520.6}, {379,547.1}, {379,561.4}, {379,566.6},
{380,576.3}, {380,577.4}, {380,581.1}, {380,586.6}, {381,590.3},
{381,595.4}, {381,600.3}, {381,601.2}, {382,599.6}, {382,599.7},
{382,596.7}, {382,596.2}, {383,594}, {383,592.9}, {383,587.3},
{383,582.6}, {384,578.8}, {384,575.7}, {384,567.7}, {384,560.6},
{385,555.9}, {385,551.6}, {385,548.1}, {385,539.6}, {386,532},
{386,523.1}, {386,517.8}, {386,511}, {387,502.5}, {387,495.4},
{387,487.8}, {387,480}, {388,476.7}, {388,470.8}, {388,463},
{388,455.5}, {389,448.2}, {389,442.4}, {389,439.3}, {389,434.6},
{390,428.3}, {390,422.6}, {390,415.3}, {390,411.2}, {391,409.8},
{391,405.8}, {391,400.7}, {391,394.9}, {392,387.1}, {392,381.8},
{392,380}, {392,375.3}, {393,369}, {393,364.4}, {393,360.7},
{393,356.1}, {394,353.8}, {394,350.1}, {394,346.3}, {394,343.6},
{395,340.9}, {395,341}, {395,339.7}, {395,339.3}, {396,337.1},
{396,335.4}, {396,333.4}, {396,333.9}, {397,332.6}, {397,331},
{397,329.5}, {397,327.8}, {398,326.5}, {398,327.6}, {398,326.1},
{398,325.4}, {399,323.4}, {399,321.7}, {399,320.7}, {399,321.7},
{400,320.8}, {400,319.5}, {400,318.2}, {400,315.6}, {401,316},
{401,316}, {401,314.8}, {401,313.7}, {402,313.2}, {402,311.4},
{402,311.5}, {402,311.7}, {403,311}, {403,309.7}, {403,308.8},
{403,307.9}, {404,307.7}, {404,307.2}