[V0_FILE]plaintext:file=".gitignore" # See https://help.github.com/articles/ignoring-files/ for more about ignoring files. # dependencies /node_modules # next.js /.next/ /out/ # production /build # debug npm-debug.log* yarn-debug.log* yarn-error.log* .pnpm-debug.log* # env files .env* # vercel .vercel # typescript *.tsbuildinfo next-env.d.ts [V0_FILE]markdown:file="README.md" # Normal distribution simulation *Automatically synced with your [v0.app](https://v0.app) deployments* [![Deployed on Vercel](https://img.shields.io/badge/Deployed%20on-Vercel-black?style=for-the-badge&logo=vercel)](https://vercel.com/alfpoohs-projects/v0-normal-distribution-simulation) [![Built with v0](https://img.shields.io/badge/Built%20with-v0.app-black?style=for-the-badge)](https://v0.app/chat/mMaEyqBJohj) ## Overview This repository will stay in sync with your deployed chats on [v0.app](https://v0.app). Any changes you make to your deployed app will be automatically pushed to this repository from [v0.app](https://v0.app). ## Deployment Your project is live at: **[https://vercel.com/alfpoohs-projects/v0-normal-distribution-simulation](https://vercel.com/alfpoohs-projects/v0-normal-distribution-simulation)** ## Build your app Continue building your app on: **[https://v0.app/chat/mMaEyqBJohj](https://v0.app/chat/mMaEyqBJohj)** ## How It Works 1. Create and modify your project using [v0.app](https://v0.app) 2. Deploy your chats from the v0 interface 3. Changes are automatically pushed to this repository 4. Vercel deploys the latest version from this repository [V0_FILE]css:file="app/globals.css" @import 'tailwindcss'; @import 'tw-animate-css'; @custom-variant dark (&:is(.dark *)); :root { --background: oklch(1 0 0); --foreground: oklch(0.145 0 0); --card: oklch(1 0 0); --card-foreground: oklch(0.145 0 0); --popover: oklch(1 0 0); --popover-foreground: oklch(0.145 0 0); --primary: oklch(0.205 0 0); --primary-foreground: oklch(0.985 0 0); --secondary: oklch(0.97 0 0); --secondary-foreground: oklch(0.205 0 0); --muted: oklch(0.97 0 0); --muted-foreground: oklch(0.556 0 0); --accent: oklch(0.97 0 0); --accent-foreground: oklch(0.205 0 0); --destructive: oklch(0.577 0.245 27.325); --destructive-foreground: oklch(0.577 0.245 27.325); --border: oklch(0.922 0 0); --input: oklch(0.922 0 0); --ring: oklch(0.708 0 0); --chart-1: oklch(0.646 0.222 41.116); --chart-2: oklch(0.6 0.118 184.704); --chart-3: oklch(0.398 0.07 227.392); --chart-4: oklch(0.828 0.189 84.429); --chart-5: oklch(0.769 0.188 70.08); --radius: 0.625rem; --sidebar: oklch(0.985 0 0); --sidebar-foreground: oklch(0.145 0 0); --sidebar-primary: oklch(0.205 0 0); --sidebar-primary-foreground: oklch(0.985 0 0); --sidebar-accent: oklch(0.97 0 0); --sidebar-accent-foreground: oklch(0.205 0 0); --sidebar-border: oklch(0.922 0 0); --sidebar-ring: oklch(0.708 0 0); } .dark { --background: oklch(0.145 0 0); --foreground: oklch(0.985 0 0); --card: oklch(0.145 0 0); --card-foreground: oklch(0.985 0 0); --popover: oklch(0.145 0 0); --popover-foreground: oklch(0.985 0 0); --primary: oklch(0.985 0 0); --primary-foreground: oklch(0.205 0 0); --secondary: oklch(0.269 0 0); --secondary-foreground: oklch(0.985 0 0); --muted: oklch(0.269 0 0); --muted-foreground: oklch(0.708 0 0); --accent: oklch(0.269 0 0); --accent-foreground: oklch(0.985 0 0); --destructive: oklch(0.396 0.141 25.723); --destructive-foreground: oklch(0.637 0.237 25.331); --border: oklch(0.269 0 0); --input: oklch(0.269 0 0); --ring: oklch(0.439 0 0); --chart-1: oklch(0.488 0.243 264.376); --chart-2: oklch(0.696 0.17 162.48); --chart-3: oklch(0.769 0.188 70.08); --chart-4: oklch(0.627 0.265 303.9); --chart-5: oklch(0.645 0.246 16.439); --sidebar: oklch(0.205 0 0); --sidebar-foreground: oklch(0.985 0 0); --sidebar-primary: oklch(0.488 0.243 264.376); --sidebar-primary-foreground: oklch(0.985 0 0); --sidebar-accent: oklch(0.269 0 0); --sidebar-accent-foreground: oklch(0.985 0 0); --sidebar-border: oklch(0.269 0 0); --sidebar-ring: oklch(0.439 0 0); } @theme inline { --font-sans: var(--font-geist-sans); --font-mono: var(--font-geist-mono); --color-background: var(--background); --color-foreground: var(--foreground); --color-card: var(--card); --color-card-foreground: var(--card-foreground); --color-popover: var(--popover); --color-popover-foreground: var(--popover-foreground); --color-primary: var(--primary); --color-primary-foreground: var(--primary-foreground); --color-secondary: var(--secondary); --color-secondary-foreground: var(--secondary-foreground); --color-muted: var(--muted); --color-muted-foreground: var(--muted-foreground); --color-accent: var(--accent); --color-accent-foreground: var(--accent-foreground); --color-destructive: var(--destructive); --color-destructive-foreground: var(--destructive-foreground); --color-border: var(--border); --color-input: var(--input); --color-ring: var(--ring); --color-chart-1: var(--chart-1); --color-chart-2: var(--chart-2); --color-chart-3: var(--chart-3); --color-chart-4: var(--chart-4); --color-chart-5: var(--chart-5); --radius-sm: calc(var(--radius) - 4px); --radius-md: calc(var(--radius) - 2px); --radius-lg: var(--radius); --radius-xl: calc(var(--radius) + 4px); --color-sidebar: var(--sidebar); --color-sidebar-foreground: var(--sidebar-foreground); --color-sidebar-primary: var(--sidebar-primary); --color-sidebar-primary-foreground: var(--sidebar-primary-foreground); --color-sidebar-accent: var(--sidebar-accent); --color-sidebar-accent-foreground: var(--sidebar-accent-foreground); --color-sidebar-border: var(--sidebar-border); --color-sidebar-ring: var(--sidebar-ring); } @layer base { * { @apply border-border outline-ring/50; } body { @apply bg-background text-foreground; } } [V0_FILE]typescriptreact:file="app/layout.tsx" import type { Metadata } from 'next' import { GeistSans } from 'geist/font/sans' import { GeistMono } from 'geist/font/mono' import { Analytics } from '@vercel/analytics/next' import './globals.css' export const metadata: Metadata = { title: 'v0 App', description: 'Created with v0', generator: 'v0.app', } export default function RootLayout({ children, }: Readonly<{ children: React.ReactNode }>) { return ( {children} ) } [V0_FILE]typescriptreact:file="app/page.tsx" "use client" import { useState } from "react" import { Card, CardContent, CardDescription, CardHeader, CardTitle } from "@/components/ui/card" import { Slider } from "@/components/ui/slider" import { LineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip, ResponsiveContainer, ReferenceArea, ReferenceLine, } from "recharts" // 정규분포 확률밀도함수 계산 function normalPDF(x: number, mean: number, stdDev: number): number { const coefficient = 1 / (stdDev * Math.sqrt(2 * Math.PI)) const exponent = -0.5 * Math.pow((x - mean) / stdDev, 2) return coefficient * Math.exp(exponent) } // 편차치 계산 function convertToDeviationValue(x: number, mean: number, stdDev: number): number { return 50 + 10 * ((x - mean) / stdDev) } // 차트 데이터 생성 function generateNormalDistributionData(mean: number, stdDev: number) { const data = [] const start = -10 const end = 10 const step = (end - start) / 200 // 200개 포인트 for (let x = start; x <= end; x += step) { data.push({ x: Number(x.toFixed(3)), y: Number(normalPDF(x, mean, stdDev).toFixed(6)), deviationValue: Number(convertToDeviationValue(x, mean, stdDev).toFixed(1)), // 편차치 추가 }) } return data } export default function NormalDistributionSimulator() { const [mean, setMean] = useState([0]) const [stdDev, setStdDev] = useState([1]) const [sigmaLevel, setSigmaLevel] = useState([1]) const data = generateNormalDistributionData(mean[0], stdDev[0]) const sigmaColors = [ "#ef4444", // 1σ - red "#f97316", // 2σ - orange "#eab308", // 3σ - yellow "#22c55e", // 4σ - green "#3b82f6", // 5σ - blue "#8b5cf6", // 6σ - purple ] const generateSigmaAreas = () => { const areas = [] for (let i = 1; i <= sigmaLevel[0]; i++) { const leftBound = Math.max(-10, mean[0] - i * stdDev[0]) const rightBound = Math.min(10, mean[0] + i * stdDev[0]) areas.push( , ) } return areas } return (

정규분포 시뮬레이터

평균(μ)과 표준편차(σ)를 조절하여 정규분포의 변화를 실시간으로 관찰해보세요

{/* 컨트롤 패널 */}

매개변수 조절 슬라이더를 움직여 정규분포의 형태를 변경하세요

평균 (μ) {mean[0]}

분포의 중심 위치를 결정합니다

표준편차 (σ) {stdDev[0]}

분포의 폭(퍼짐)을 결정합니다

시그마 레벨 (σ) {sigmaLevel[0]}σ

표시할 시그마 영역의 범위를 선택합니다

{/* 통계 정보 */} 분포 정보

평균 (μ): {mean[0]}

표준편차 (σ): {stdDev[0]}

분산 (σ²): {(stdDev[0] ** 2).toFixed(2)}

표기법: N({mean[0]}, {stdDev[0]}²)

시그마 영역 범례:

{Array.from({ length: sigmaLevel[0] }, (_, i) => (

{i + 1}σ

))}

{/* 차트 */}

정규분포 그래프 확률밀도함수: f(x) = (1/σ√2π) × e^(-½((x-μ)/σ)²)

value.toFixed(1)} axisLine={{ stroke: "#666" }} tickLine={{ stroke: "#666" }} /> value.toFixed(0)} xAxisId="deviation" height={30} /> value.toFixed(3)} /> { if (name === "f(x)") return [value.toFixed(6), "확률밀도"] return [value, name] }} labelFormatter={(label, payload) => { if (payload && payload[0]) { const x = payload[0].payload.x const deviation = payload[0].payload.deviationValue return `x = ${x.toFixed(3)} | 편차치 = ${deviation.toFixed(1)}` } return `x = ${Number(label).toFixed(3)}` }} /> {generateSigmaAreas()}

표준값 (x)

편차치 (평균=50)

정규분포의 특성

68-95-99.7 규칙

데이터의 약 68%는 μ±σ 범위에, 95%는 μ±2σ 범위에, 99.7%는 μ±3σ 범위에 분포합니다.

대칭성

정규분포는 평균을 중심으로 완전히 대칭인 종 모양의 분포를 가집니다.

중심극한정리

표본 크기가 충분히 클 때, 표본평균의 분포는 정규분포에 근사합니다.

편차치

일본 입시에서 사용하는 표준화 점수로, 평균을 50, 표준편차를 10으로 변환한 값입니다.

) } [V0_FILE]json:file="components.json" { "$schema": "https://ui.shadcn.com/schema.json", "style": "new-york", "rsc": true, "tsx": true, "tailwind": { "config": "", "css": "app/globals.css", "baseColor": "neutral", "cssVariables": true, "prefix": "" }, "aliases": { "components": "@/components", "utils": "@/lib/utils", "ui": "@/components/ui", "lib": "@/lib", "hooks": "@/hooks" }, "iconLibrary": "lucide" } [V0_FILE]typescriptreact:file="components/theme-provider.tsx" 'use client' import * as React from 'react' import { ThemeProvider as NextThemesProvider, type ThemeProviderProps, } from 'next-themes' export function ThemeProvider({ children, ...props }: ThemeProviderProps) { return {children} } [V0_FILE]typescriptreact:file="components/ui/card.tsx" import * as React from 'react' import { cn } from '@/lib/utils' function Card({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardHeader({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardTitle({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardDescription({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardAction({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardContent({ className, ...props }: React.ComponentProps<'div'>) { return (

) } function CardFooter({ className, ...props }: React.ComponentProps<'div'>) { return (

) } export { Card, CardHeader, CardFooter, CardTitle, CardAction, CardDescription, CardContent, } [V0_FILE]typescriptreact:file="components/ui/slider.tsx" "use client" import * as React from "react" import * as SliderPrimitive from "@radix-ui/react-slider" import { cn } from "@/lib/utils" const Slider = React.forwardRef< React.ElementRef, React.ComponentPropsWithoutRef >(({ className, ...props }, ref) => ( )) Slider.displayName = SliderPrimitive.Root.displayName export { Slider } [V0_FILE]typescript:file="lib/utils.ts" import { clsx, type ClassValue } from 'clsx' import { twMerge } from 'tailwind-merge' export function cn(...inputs: ClassValue[]) { return twMerge(clsx(inputs)) } [V0_FILE]javascript:file="next.config.mjs" /** @type {import('next').NextConfig} */ const nextConfig = { eslint: { ignoreDuringBuilds: true, }, typescript: { ignoreBuildErrors: true, }, images: { unoptimized: true, }, } export default nextConfig [V0_FILE]json:file="package.json" { "name": "my-v0-project", "version": "0.1.0", "private": true, "scripts": { "build": "next build", "dev": "next dev", "lint": "next lint", "start": "next start" }, "dependencies": { "@hookform/resolvers": "^3.10.0", "@radix-ui/react-accordion": "1.2.2", "@radix-ui/react-alert-dialog": "1.1.4", "@radix-ui/react-aspect-ratio": "1.1.1", "@radix-ui/react-avatar": "1.1.2", "@radix-ui/react-checkbox": "1.1.3", "@radix-ui/react-collapsible": "1.1.2", "@radix-ui/react-context-menu": "2.2.4", "@radix-ui/react-dialog": "1.1.4", "@radix-ui/react-dropdown-menu": "2.1.4", "@radix-ui/react-hover-card": "1.1.4", "@radix-ui/react-label": "2.1.1", "@radix-ui/react-menubar": "1.1.4", "@radix-ui/react-navigation-menu": "1.2.3", "@radix-ui/react-popover": "1.1.4", "@radix-ui/react-progress": "1.1.1", "@radix-ui/react-radio-group": "1.2.2", "@radix-ui/react-scroll-area": "1.2.2", "@radix-ui/react-select": "2.1.4", "@radix-ui/react-separator": "1.1.1", "@radix-ui/react-slider": "latest", "@radix-ui/react-slot": "1.1.1", "@radix-ui/react-switch": "1.1.2", "@radix-ui/react-tabs": "1.1.2", "@radix-ui/react-toast": "1.2.4", "@radix-ui/react-toggle": "1.1.1", "@radix-ui/react-toggle-group": "1.1.1", "@radix-ui/react-tooltip": "1.1.6", "@vercel/analytics": "1.3.1", "autoprefixer": "^10.4.20", "class-variance-authority": "^0.7.1", "clsx": "^2.1.1", "cmdk": "1.0.4", "date-fns": "4.1.0", "embla-carousel-react": "8.5.1", "geist": "^1.3.1", "input-otp": "1.4.1", "lucide-react": "^0.454.0", "mathjax-react": "2.0.1", "next": "14.2.25", "next-themes": "^0.4.6", "react": "^19", "react-day-picker": "9.8.0", "react-dom": "^19", "react-hook-form": "^7.60.0", "react-resizable-panels": "^2.1.7", "recharts": "latest", "sonner": "^1.7.4", "tailwind-merge": "^2.5.5", "tailwindcss-animate": "^1.0.7", "vaul": "^0.9.9", "zod": "3.25.67" }, "devDependencies": { "@tailwindcss/postcss": "^4.1.9", "@types/node": "^22", "@types/react": "^18", "@types/react-dom": "^18", "postcss": "^8.5", "tailwindcss": "^4.1.9", "tw-animate-css": "1.3.3", "typescript": "^5" } } [V0_FILE]javascript:file="postcss.config.mjs" /** @type {import('postcss-load-config').Config} */ const config = { plugins: { '@tailwindcss/postcss': {}, }, } export default config [V0_FILE]css:file="styles/globals.css" @import 'tailwindcss'; @import 'tw-animate-css'; @custom-variant dark (&:is(.dark *)); :root { --background: oklch(1 0 0); --foreground: oklch(0.145 0 0); --card: oklch(1 0 0); --card-foreground: oklch(0.145 0 0); --popover: oklch(1 0 0); --popover-foreground: oklch(0.145 0 0); --primary: oklch(0.205 0 0); --primary-foreground: oklch(0.985 0 0); --secondary: oklch(0.97 0 0); --secondary-foreground: oklch(0.205 0 0); --muted: oklch(0.97 0 0); --muted-foreground: oklch(0.556 0 0); --accent: oklch(0.97 0 0); --accent-foreground: oklch(0.205 0 0); --destructive: oklch(0.577 0.245 27.325); --destructive-foreground: oklch(0.577 0.245 27.325); --border: oklch(0.922 0 0); --input: oklch(0.922 0 0); --ring: oklch(0.708 0 0); --chart-1: oklch(0.646 0.222 41.116); --chart-2: oklch(0.6 0.118 184.704); --chart-3: oklch(0.398 0.07 227.392); --chart-4: oklch(0.828 0.189 84.429); --chart-5: oklch(0.769 0.188 70.08); --radius: 0.625rem; --sidebar: oklch(0.985 0 0); --sidebar-foreground: oklch(0.145 0 0); --sidebar-primary: oklch(0.205 0 0); --sidebar-primary-foreground: oklch(0.985 0 0); --sidebar-accent: oklch(0.97 0 0); --sidebar-accent-foreground: oklch(0.205 0 0); --sidebar-border: oklch(0.922 0 0); --sidebar-ring: oklch(0.708 0 0); } .dark { --background: oklch(0.145 0 0); --foreground: oklch(0.985 0 0); --card: oklch(0.145 0 0); --card-foreground: oklch(0.985 0 0); --popover: oklch(0.145 0 0); --popover-foreground: oklch(0.985 0 0); --primary: oklch(0.985 0 0); --primary-foreground: oklch(0.205 0 0); --secondary: oklch(0.269 0 0); --secondary-foreground: oklch(0.985 0 0); --muted: oklch(0.269 0 0); --muted-foreground: oklch(0.708 0 0); --accent: oklch(0.269 0 0); --accent-foreground: oklch(0.985 0 0); --destructive: oklch(0.396 0.141 25.723); --destructive-foreground: oklch(0.637 0.237 25.331); --border: oklch(0.269 0 0); --input: oklch(0.269 0 0); --ring: oklch(0.439 0 0); --chart-1: oklch(0.488 0.243 264.376); --chart-2: oklch(0.696 0.17 162.48); --chart-3: oklch(0.769 0.188 70.08); --chart-4: oklch(0.627 0.265 303.9); --chart-5: oklch(0.645 0.246 16.439); --sidebar: oklch(0.205 0 0); --sidebar-foreground: oklch(0.985 0 0); --sidebar-primary: oklch(0.488 0.243 264.376); --sidebar-primary-foreground: oklch(0.985 0 0); --sidebar-accent: oklch(0.269 0 0); --sidebar-accent-foreground: oklch(0.985 0 0); --sidebar-border: oklch(0.269 0 0); --sidebar-ring: oklch(0.439 0 0); } @theme inline { --font-sans: var(--font-geist-sans); --font-mono: var(--font-geist-mono); --color-background: var(--background); --color-foreground: var(--foreground); --color-card: var(--card); --color-card-foreground: var(--card-foreground); --color-popover: var(--popover); --color-popover-foreground: var(--popover-foreground); --color-primary: var(--primary); --color-primary-foreground: var(--primary-foreground); --color-secondary: var(--secondary); --color-secondary-foreground: var(--secondary-foreground); --color-muted: var(--muted); --color-muted-foreground: var(--muted-foreground); --color-accent: var(--accent); --color-accent-foreground: var(--accent-foreground); --color-destructive: var(--destructive); --color-destructive-foreground: var(--destructive-foreground); --color-border: var(--border); --color-input: var(--input); --color-ring: var(--ring); --color-chart-1: var(--chart-1); --color-chart-2: var(--chart-2); --color-chart-3: var(--chart-3); --color-chart-4: var(--chart-4); --color-chart-5: var(--chart-5); --radius-sm: calc(var(--radius) - 4px); --radius-md: calc(var(--radius) - 2px); --radius-lg: var(--radius); --radius-xl: calc(var(--radius) + 4px); --color-sidebar: var(--sidebar); --color-sidebar-foreground: var(--sidebar-foreground); --color-sidebar-primary: var(--sidebar-primary); --color-sidebar-primary-foreground: var(--sidebar-primary-foreground); --color-sidebar-accent: var(--sidebar-accent); --color-sidebar-accent-foreground: var(--sidebar-accent-foreground); --color-sidebar-border: var(--sidebar-border); --color-sidebar-ring: var(--sidebar-ring); } @layer base { * { @apply border-border outline-ring/50; } body { @apply bg-background text-foreground; 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