Chapter_16_Exam_Statistics

Chapter_16_Exam_Statistics.ipynb

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   "source": [
    "# Chapter 16 Exam Statistics \n",
    "\n",
    "<img align=\"left\" src=\"https://i.imgur.com/lnc0qMV.png\" />"
   ]
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     "text": [
      "Grades: [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n"
     ]
    }
   ],
   "source": [
    "# 01 성적을 살펴봅시다!\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "print (\"Grades:\", grades)"
   ]
  },
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     "text": [
      "100\n",
      "100\n",
      "90\n",
      "40\n",
      "80\n",
      "100\n",
      "85\n",
      "70\n",
      "90\n",
      "65\n",
      "90\n",
      "85\n",
      "50.5\n"
     ]
    }
   ],
   "source": [
    "# 02 성적 출력하기\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def print_grades(grades):\n",
    "    for e in grades:\n",
    "        print (e)\n",
    "\n",
    "print_grades(grades)"
   ]
  },
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     "text": [
      "Let's compute some stats!\n"
     ]
    }
   ],
   "source": [
    "# 03 리뷰\n",
    "\n",
    "print (\"Let's compute some stats!\")"
   ]
  },
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   "execution_count": 7,
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     "text": [
      "1045.5\n"
     ]
    }
   ],
   "source": [
    "# 04 점수의 총합\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def grades_sum(scores):\n",
    "    total = 0\n",
    "    for score in scores:\n",
    "        total += score\n",
    "    return total\n",
    "\n",
    "print (grades_sum(grades))"
   ]
  },
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      "80.42307692307692\n"
     ]
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   "source": [
    "# 05 평균값 계산하기\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def grades_sum(scores):\n",
    "    total = 0\n",
    "    for score in scores:\n",
    "        total += score\n",
    "    return total\n",
    "\n",
    "def grades_average(grades):\n",
    "    num = len(grades)\n",
    "    return grades_sum(grades) * 1.0 / num\n",
    "\n",
    "print (grades_average(grades))"
   ]
  },
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   "execution_count": 10,
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   "outputs": [
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     "text": [
      "Time to conquer the variance!\n"
     ]
    }
   ],
   "source": [
    "# 06 리뷰\n",
    "\n",
    "print (\"Time to conquer the variance!\")"
   ]
  },
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      "334.0710059171598\n"
     ]
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   "source": [
    "# 07 분산\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def print_grades(grades):\n",
    "    for grade in grades:\n",
    "        print (grade)\n",
    "\n",
    "def grades_sum(grades):\n",
    "    total = 0\n",
    "    for grade in grades:\n",
    "        total += grade\n",
    "    return (total)\n",
    "\n",
    "def grades_average(grades):\n",
    "    sum_of_grades = grades_sum(grades)\n",
    "    average = sum_of_grades * 1.0/ len(grades)\n",
    "    return (average)\n",
    "\n",
    "def grades_variance(grades, average):\n",
    "    variance = 0.0\n",
    "    for grade in grades:\n",
    "        variance += (grade - average) ** 2\n",
    "    return variance / len(grades)\n",
    "\n",
    "print (grades_variance(grades, grades_average(grades)))\n",
    "\n",
    "# 분산(variance)은 편차 제곱의 평균\n",
    "# 편차(deviation)는 평균과 차이 (즉, 평균에서 얼마나 떨어져 있는지 값)"
   ]
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      "18.277609414722697\n"
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   "source": [
    "# 08 표준 편차\n",
    "\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def print_grades(grades):\n",
    "    for grade in grades:\n",
    "        print (grade)\n",
    "\n",
    "def grades_sum(grades):\n",
    "    total = 0\n",
    "    for grade in grades:\n",
    "        total += grade\n",
    "    return (total)\n",
    "\n",
    "def grades_average(grades):\n",
    "    sum_of_grades = grades_sum(grades)\n",
    "    average = sum_of_grades * 1.0/ len(grades)\n",
    "    return (average)\n",
    "\n",
    "def grades_variance(grades, average):\n",
    "    variance = 0.0\n",
    "    for grade in grades:\n",
    "        variance += (grade - average) ** 2\n",
    "    return variance / len(grades)\n",
    "\n",
    "def grades_std_deviation(variance):\n",
    "    return variance ** 0.5\n",
    "\n",
    "print (grades_std_deviation(grades_variance(grades, grades_average(grades))))\n",
    "\n",
    "\n",
    "# 표준편차(SD, standard deviation): 분산(variance)의 제곱근"
   ]
  },
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   "execution_count": 19,
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     "text": [
      "100\n",
      "100\n",
      "90\n",
      "40\n",
      "80\n",
      "100\n",
      "85\n",
      "70\n",
      "90\n",
      "65\n",
      "90\n",
      "85\n",
      "50.5\n",
      "1045.5\n",
      "80.42307692307692\n",
      "334.0710059171598\n",
      "18.277609414722697\n",
      "Grades: [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n"
     ]
    }
   ],
   "source": [
    "# 09 리뷰\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "\n",
    "def print_grades(grades):\n",
    "    for grade in grades:\n",
    "        print (grade)\n",
    "\n",
    "def grades_sum(grades):\n",
    "    total = 0\n",
    "    for grade in grades:\n",
    "        total += grade\n",
    "    return total\n",
    "\n",
    "def grades_average(grades):\n",
    "    sum_of_grades = grades_sum(grades)\n",
    "    average = sum_of_grades * 1.0/ len(grades)\n",
    "    return average\n",
    "\n",
    "def grades_variance(grades, average):\n",
    "    variance = 0.0\n",
    "    for grade in grades:\n",
    "        variance += (grade - average) ** 2\n",
    "    return variance / len(grades)\n",
    "\n",
    "def grades_std_deviation(variance):\n",
    "    return variance ** 0.5\n",
    "\n",
    "print_grades(grades)\n",
    "print (grades_sum(grades))\n",
    "print (grades_average(grades))\n",
    "print (grades_variance(grades, grades_average(grades)))\n",
    "print (grades_std_deviation(grades_variance(grades, grades_average(grades))))\n",
    "\n",
    "\n",
    "grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]\n",
    "print (\"Grades:\", grades)"
   ]
  }
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