Z-Score Calculator — Standardized Score

Calculate Z-score (standard score) and find the corresponding percentile. Useful for data normalization and hypothesis testing.

Data set — comma or newline separated
Statistical Results — n = 8
Count (n)8
Sum (Σx)40
Min2
Max9
Range7
Q14
Q35.5
IQR1.5
Mean (μ)5
Median4.5
Mode4
Pop. Variance (σ²)4
Pop. Std Dev (σ)2
Sample Variance (s²)4.571428571
Sample Std Dev (s)2.138089935
Skewness0.65625
Excess Kurtosis-0.21875
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How to use this calculator

  1. 1

    Enter the mathematical parameters

    Enter the numerical values, expressions, or mathematical parameters into the Z-Score Calculator — Standardized Score.

  2. 2

    Select calculation method

    Select the calculation type, formula variant, or mathematical method if applicable.

  3. 3

    Solve the expression

    Press Calculate to solve the mathematical expression or equation.

  4. 4

    Verify the result

    Review the result and verify using step-by-step working or an alternative method where available.

Formula

Result = f(inputs, operation)

inputs
Numerical values, expressions, or parameters entered into the Z-Score Calculator.
operation
Mathematical operation, formula variant, or method applied to the inputs.
Result
Computed numerical or symbolic output.

Verify results using an alternative method or step-by-step working where available.

Glossary and Definitions

Operand
A value or expression on which a mathematical operation is performed.
Operator
A symbol (such as +, ×, ∫) that specifies the operation applied to operands.
Significant digits
The digits of a result that are meaningful given the precision of the inputs.
Closed form
An expression that can be evaluated in a finite number of standard operations.
Z-score calculator
A key concept referenced by the Z-Score Calculator: Calculate Z-score (standard score) and find the corresponding percentile. Useful for data normalization and hypothesis testing.
Standard score
A key concept referenced by the Z-Score Calculator: Calculate Z-score (standard score) and find the corresponding percentile. Useful for data normalization and hypothesis testing.
Percentile calculator
A key concept referenced by the Z-Score Calculator: Calculate Z-score (standard score) and find the corresponding percentile. Useful for data normalization and hypothesis testing.
Normal distribution
A key concept referenced by the Z-Score Calculator: Calculate Z-score (standard score) and find the corresponding percentile. Useful for data normalization and hypothesis testing.

Related Calculators

Standard Deviation

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Frequently Asked Questions