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HomeCalculatorsZ-Score Calculator

Z-Score Calculator

Calculate Z-scores, find raw values, and solve the area under the standard normal distribution curve. View standard percentiles with shaded bell curves.

Standard Z-Score

1.5

Solved Raw Value (x)

1.5

Dynamic Shaded Bell Curve Plot
μ (0)-3σ-2σ-1σ+1σ+2σ+3σZ: 1.5

Normal Distribution Area Metrics

Left-Tailed P(Z < z₀)

93.3193%

Percentile: 93

Right-Tailed P(Z > z₀)

6.6807%

Upper tail significance

Two-Tailed Out (Outside)

13.3614%

Extreme regions

Two-Tailed In (Inside)

86.6386%

Central coverage

Z-Score Workings Steps

1. Formula: Z = (x - μ) / σ
2. Z = (1.5 - 0) / 1 = 1.5000
3. Standard Normal probability areas derived:
4. - P(Z < 1.50) = 93.3193%
5. - P(Z > 1.50) = 6.6807%
6. - Two-tailed outside extremes: P(|Z| > |1.50|) = 13.3614%
7. - Two-tailed central inside: P(-|1.50| < Z < |1.50|) = 86.6386%

Related Statistical & Research Tools

Confidence IntervalCalculate margins of error on population means.Statistics CalculatorSolve means, standard deviations, and quartiles.Sample Size SolverDetermine minimum survey cohort sizes for polling.

How Z-Score Calculator | Normal Distribution & Percentiles Works

Our high-performance online utility runs entirely client-side, processing your requests securely and instantly inside your web browser. For related features, you can also use our Confidence Interval Calculator and Calculators tools.

1

Enter Input Details

Provide your parameters or upload your file securely into the workspace.

2

Instant Processing

Our 100% offline-first engine processes the request instantly in browser memory.

3

View Results

Download, copy, or print the optimized results instantly with complete privacy.

Why Use Our Z-Score Calculator | Normal Distribution & Percentiles?

Designed for professional results, privacy, and maximum compatibility across all modern desktop and mobile browsers. Enjoy unlimited free calculations without hidden fees.

Frequently Asked Questions

Can this find probability from z-score?

Yes. Calculate area under normal curve for left, right, two-tailed, or interval regions.

Confidence Interval CalculatorCalculators