{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "2021030901.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "_k5tMB9V9yTc" }, "source": [ "# [분산, 표준편차 구하기(도수분포표)(Finding the Variance and Standard Deviation (Frequency Distribution Table))](https://min7014.github.io/math20210309001.html)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "RN20_e8N93t2" }, "source": [ "### [참고]\n", "\n", "[Geogebra와 수학의 시각화](https://www.geogebra.org/m/gsARCQs5)" ] }, { "cell_type": "markdown", "metadata": { "id": "eF0DuRj6r6PN" }, "source": [ "**[영문버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "P3uCzOJIMxkw" }, "source": [ "https://www.geogebra.org/m/ajdxqhyu" ] }, { "cell_type": "markdown", "metadata": { "id": "aF_35gWUiJxx" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "CDAa7jDZs1Xl" }, "source": [ "01. Geogebra를 실행시킨다.\n", "\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\n", "\n", " **첫번째 아래방향 --> Sort by --> Construction order**" ] }, { "cell_type": "markdown", "metadata": { "id": "V_oHd4TUs23J" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "HAIk9eGffoa1" }, "source": [ " \n", "\n", "03. Input에\n", "\n", " **ClassBoundary={1,3,5,7,9,11}**\n", "\n", " 입력하여 ClassBoundary라는 list를 만든다.\n", "\n", " \n", "\n", " \n", "\n", "04. Algebra과 Graphics 경계에 마우스를 위치시켰을때 마우스 커서가 좌우화살표로 변한다.\n", "\n", " 이때 왼쪽 마우스를 누른상태로 Algebra을 넓혀서 ClassBoundary의 내용이\n", "\n", " 다 보이도록 창의 너비를 조절한다.\n", "\n", " 추후에 적당히 조절하여 Algebra의 내용이 입력내용이 적당히 보이도록 한다.\n", "\n", " \n", "\n", "05. Input에\n", "\n", " **NumberOfC=Length[ClassBoundary]-1**\n", "\n", " 입력하여 NumberOfC라는 수를 만든다.\n", "\n", " \n", "\n", "06. Input에\n", "\n", " **ClassOfD=Sequence[{Element[ClassBoundary,t],Element[ClassBoundary,t+1]},t,1,NumberOfC]**\n", "\n", " 입력하여 ClassOfD이라는 list를 만든다.\n", "\n", " \n", "\n", "07. Input에\n", "\n", " **FrequencyOfC={2,4,9,2,3}**\n", "\n", " 입력하여 FrequencyOfC이라는 list를 만든다.\n", "\n", " \n", "\n", "08. Input에\n", "\n", " **TheRankValueOfC=Sequence[mean[Element[ClassOfD,t]],t,1,NumberOfC]**\n", "\n", " 입력하여 TheRankValueOfC이라는 list를 만든다.\n", "\n", " \n", "\n", "09. Input에\n", "\n", " **ApproximateDataConsideringTRV=Flatten[Sequence[Sequence[Element[TheRankValueOfC,v],t,1,Element[FrequencyOfC,v]],v,1,NumberOfC]]**\n", "\n", " 입력하여 ApproximateDataConsideringTRV이라는 list를 만든다.\n", "\n", " \n", "\n", "10. Input에\n", "\n", " **FrequencyDistributionTable=FrequencyTable[ClassBoundary, ApproximateDataConsideringTRV]**\n", "\n", " 입력하여 FrequencyDistributionTable라는 텍스트를 만든다.\n", "\n", " \n", "\n", "11. Input에\n", "\n", " **SumOfF=Sum[FrequencyOfC]**\n", "\n", " 입력하여 SumOfF이라는 수를 만든다.\n", "\n", " \n", "\n", "12. Input에\n", "\n", " **TheRVTimesF=Sequence[Element[TheRankValueOfC,t]*Element[FrequencyOfC,t],t,1,NumberOfC]**\n", "\n", " 입력하여 TheRVTimesF라는 TheRankValueOfC과 도수를 곱한 list를 만든다.\n", "\n", " \n", "\n", "13. Input에\n", "\n", " **SumOfD=Sum[TheRVTimesF]**\n", "\n", " 입력하여 SumOfD이라는 수를 만든다.\n", "\n", " \n", "\n", "14. Input에\n", "\n", " **MeanOfD=SumOfD/Sum[FrequencyOfC]**\n", "\n", " 입력하여 MeanOfD이라는 수를 만든다.\n", "\n", " \n", "\n", "15. Input에\n", "\n", " **DeviationOfD=Sequence[Element[TheRankValueOfC,t]-MeanOfD,t,1,NumberOfC]**\n", "\n", " 입력하여 DeviationOfD이라는 list를 만든다.\n", "\n", " \n", "\n", "16. Input에\n", "\n", " **DTimesF=Sequence[Element[DeviationOfD,t]*Element[FrequencyOfC,t],t,1,NumberOfC]**\n", "\n", " 입력하여 DTimesF이라는 list만든다.\n", "\n", " \n", "\n", "17. Input에\n", "\n", " **SumOfDTF=Sum[DTimesF]**\n", "\n", " 입력하여 SumOfDTF이 Sum는 DTimesF다.\n", "\n", " \n", "\n", "18. SumOfDTF의 \"0\"이 되는 이유를 생각해본다.\n", "\n", " \n", "\n", "19. Input에\n", "\n", " **DeviationSquared=Sequence[Element[DeviationOfD,t]^2,t,1,NumberOfC]**\n", "\n", " 입력하여 DeviationSquared이라는 list를 만든다.\n", "\n", " \n", "\n", "20. Input에\n", "\n", " **DSTimesF=Sequence(Element(DeviationSquared, t) * Element(FrequencyOfC, t), t, 1, NumberOfC)**\n", "\n", " 입력하여 DSTimesF라는 list를 만든다.\n", "\n", " \n", "\n", "21. Input에\n", "\n", " **SumOfDSTF=Sum[DSTimesF]**\n", "\n", " 입력하여 SumOfDSTF이라는 수를 만든다.\n", "\n", " \n", "\n", "22. Input에\n", "\n", " **DispersionOfD=SumOfDSTF/SumOfF**\n", "\n", " 입력하여 DispersionOfD이라는 수를 만든다.\n", "\n", " \n", "\n", "23. Input에\n", "\n", " **StandardDeviationOfD=sqrt[DispersionOfD]**\n", "\n", " 입력하여 StandardDeviationOfD이라는 수를 만든다.\n", "\n", " \n", "\n", "24. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에서\n", "\n", " **Options --> Rounding --> 15 Decimal Places**\n", "\n", " \n", "\n", "25. 소수점15자리까지 보였지만, 분산의 값은 근사값일 뿐입니다.\n", "\n", " \n", "\n", "26. Geogebra에는 심볼릭계산이 가능한 기능이 있습니다.\n", "\n", " 심볼릭계산으로 정확한 값을 볼 수 있습니다.\n", "\n", " \n", "\n", "27. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에\n", "\n", " **view --> CAS**\n", "\n", " \n", "\n", "28. Cas 창에 1이라고 써있는 수옆 빈칸에\n", "\n", " **sqrt[DispersionOfD]**\n", "\n", " 입력하고 [Enter]키를 누른다.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "sD_3X2FvrZk3" }, "source": [ "**[한글버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "SGa-xAFUfgz9" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "BL-gxodZWjld" }, "source": [ "01. Geogebra를 실행시킨다.\n", "\n", " \n", "\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\n", "\n", " 첫번째 아래방향을 선택 --> 정렬기준 --> 구성순서를 선택한다." ] }, { "cell_type": "markdown", "metadata": { "id": "X44ozcRwWtFL" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "Y9ku4Y0sWzwZ" }, "source": [ " \n", "\n", "03. 입력창에\n", "\n", " **자료계급경계={1,3,5,7,9,11}**\n", "\n", " 입력하여 자료계급경계라는 리스트를 만든다.\n", "\n", " \n", "\n", " \n", "\n", "04. 대수창과 기하창 경계에 마우스를 위치시켰을때 마우스 커서가 좌우화살표로 변한다.\n", "\n", " 이때 왼쪽 마우스를 누른상태로 대수창을 넓혀서 자료계급경계의 내용이\n", "\n", " 다 보이도록 창의 너비를 조절한다.\n", "\n", " 추후에 적당히 조절하여 대수창의 내용이 입력내용이 적당히 보이도록 한다.\n", "\n", " \n", "\n", "05. 입력창에\n", "\n", " **계급개수=길이[자료계급경계]-1**\n", "\n", " 입력하여 계급개수라는 수를 만든다.\n", "\n", " \n", "\n", "06. 입력창에\n", "\n", " **자료계급=수열[{원소[자료계급경계,t],원소[자료계급경계,t+1]},t,1,계급개수]**\n", "\n", " 입력하여 자료계급이라는 리스트를 만든다.\n", "\n", " \n", "\n", "07. 입력창에\n", "\n", " **자료도수={2,4,9,2,3}**\n", "\n", " 입력하여 자료도수이라는 리스트를 만든다.\n", "\n", " \n", "\n", "08. 입력창에\n", "\n", " **계급값=수열[평균[원소[자료계급,t]],t,1,계급개수]**\n", "\n", " 입력하여 계급값이라는 리스트를 만든다.\n", "\n", " \n", "\n", "09. 입력창에\n", "\n", " **계급값원자료=리스트단일화[수열[수열[원소[계급값,v],t,1,원소[자료도수,v]],v,1,계급개수]]**\n", "\n", " 입력하여 계급값원자료이라는 리스트를 만든다.\n", "\n", " \n", "\n", "10. 입력창에\n", "\n", " **자료도수분포표=도수분포표[자료계급경계, 계급값원자료]**\n", "\n", " 입력하여 자료도수분포표라는 텍스트를 만든다.\n", "\n", " \n", "\n", "11. 입력창에\n", "\n", " **도수합=합[자료도수]**\n", "\n", " 입력하여 도수합이라는 수를 만든다.\n", "\n", " \n", "\n", "12. 입력창에\n", "\n", " **계급값곱도수=수열[원소[계급값,t]*원소[자료도수,t],t,1,계급개수]**\n", "\n", " 입력하여 계급값곱도수라는 계급값과 도수를 곱한 리스트를 만든다.\n", "\n", " \n", "\n", "13. 입력창에\n", "\n", " **자료합=합[계급값곱도수]**\n", "\n", " 입력하여 자료합이라는 수를 만든다.\n", "\n", " \n", "\n", "14. 입력창에\n", "\n", " **자료평균=자료합/합[자료도수]**\n", "\n", " 입력하여 자료평균이라는 수를 만든다.\n", "\n", " \n", "\n", "15. 입력창에\n", "\n", " **자료편차=수열[원소[계급값,t]-자료평균,t,1,계급개수]**\n", "\n", " 입력하여 자료편차이라는 리스트를 만든다.\n", "\n", " \n", "\n", "16. 입력창에\n", "\n", " **편차곱도수=수열[원소[자료편차,t]*원소[자료도수,t],t,1,계급개수]**\n", "\n", " 입력하여 자료편차이라는 리스트를 만든다.\n", "\n", " \n", "\n", "17. 입력창에\n", "\n", " **편차합=합[편차곱도수]**\n", "\n", " 입력하여 편차합이라는 수를 만든다.\n", "\n", " \n", "\n", "18. 편차합이 \"0\"이 되는 이유를 생각해본다.\n", "\n", " \n", "\n", "19. 입력창에\n", "\n", " **편차제곱=수열[원소[자료편차,t]^2,t,1,계급개수]**\n", "\n", " 입력하여 편차제곱이라는 리스트를 만든다.\n", "\n", " \n", "\n", "20. 입력창에\n", "\n", " **편차제곱곱도수=수열[원소[편차제곱,t]*원소[자료도수,t],t,1,계급개수]**\n", "\n", " 입력하여 편차제곱곱도수라는 리스트를 만든다.\n", "\n", " \n", "\n", "21. 입력창에\n", "\n", " **편차제곱합=합[편차제곱곱도수]**\n", "\n", " 입력하여 편차제곱합이라는 수를 만든다.\n", "\n", " \n", "\n", "22. 입력창에\n", "\n", " **자료분산=편차제곱합/도수합**\n", "\n", " 입력하여 자료분산이라는 수를 만든다.\n", "\n", " \n", "\n", "23. 입력창에\n", "\n", " **자료표준편차=sqrt[자료분산]**\n", "\n", " 입력하여 자료표준편차이라는 수를 만든다.\n", "\n", " \n", "\n", "24. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에서\n", "\n", " **선택사항 --> 반올림 --> 15 소수점 아래 자리 선택**\n", "\n", " \n", "\n", "25. 소수점15자리까지 보였지만, 분산의 값은 근사값일 뿐입니다.\n", "\n", " \n", "\n", "26. Geogebra에는 심볼릭계산이 가능한 기능이 있습니다.\n", "\n", " 심볼릭계산으로 정확한 값을 볼 수 있습니다.\n", "\n", " \n", "\n", "27. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에\n", "\n", " **보기 --> CAS**\n", "\n", " \n", "\n", "28. Cas 창에 1이라고 써있는 수옆 빈칸에\n", "\n", " **sqrt[자료분산]**\n", "\n", " 입력하고 [Enter]키를 누른다.\n", "\n", " " ] } ] }