CalculatorCast
수학 금융 건강 및 피트니스 날짜 및 시간 단위 변환기 컴퓨터 물리학 화학 건설 공학 통계학 교육 일상생활 생물학 자동차 요리 및 음식 스포츠 및 피트니스 부동산 사진 전기 농업 여행 비즈니스
모든 계산기 즐겨찾기 ()
English Español Français Deutsch Português Italiano Nederlands Polski Türkçe 日本語 한국어 Svenska Norsk Dansk Suomi עברית

정규분포 역함수(분위수) 계산기

주어진 정규 누적확률에 해당하는 값을 구합니다.

소개

Normal Inverse (Quantile) Calculator — Find the value corresponding to a given normal cumulative probability. Enter Probability (0-1), Mean (μ), Std. deviation (σ) to get an instant, accurate result.

공식

Given a cumulative probability p, finds the value x such that P(X ≤ x) = p, using Peter Acklam's rational approximation of the inverse standard normal CDF (the quantile function), then scaling by mean + z×σ. This is a numerical approximation, since no closed-form inverse exists.

단계별 안내

  1. Enter the Probability (0-1).
  2. Enter the Mean (μ).
  3. Enter the Std. deviation (σ).
  4. Click Calculate to see your result instantly.

실제 예시

Example: With Probability (0-1) = 0.975, Mean (μ) = 0, Std. deviation (σ) = 1, the Normal Inverse (Quantile) Calculator gives Z Or X: 1.96.

자주 묻는 질문

What is this also called?
It's the quantile function, sometimes called the inverse normal or probit function — the opposite operation of the normal CDF.
What values of p are valid?
p must be strictly between 0 and 1; at exactly 0 or 1 the corresponding value would be negative or positive infinity.
What inputs does the Normal Inverse (Quantile) Calculator need?
You'll need to provide: Probability (0-1), Mean (μ), Std. deviation (σ). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Normal Inverse (Quantile) Calculator?
The Normal Inverse (Quantile) Calculator applies the formula exactly as calculated — Given a cumulative probability p, finds the value x such that P(X ≤ x) = p, using Peter Acklam's rational approximation of the inverse standard normal CDF (the quantile function), then scaling by mean + z×σ. This is a numerical approximation, since no closed-form inverse exists. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Normal Inverse (Quantile) Calculator free to use?
Yes, the Normal Inverse (Quantile) Calculator is completely free, requires no signup, and runs instantly in your browser.

정규분포 역함수(분위수) 계산기 소개

The Normal Inverse (Quantile) Calculator uses a real, verifiable formula — Given a cumulative probability p, finds the value x such that P(X ≤ x) = p, using Peter Acklam's rational approximation of the inverse standard normal CDF (the quantile function), then scaling by mean + z×σ. This is a numerical approximation, since no closed-form inverse exists. — so results are accurate every time, not an approximation.