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Z-Score Calculator

Last updated: April 2026

Z-score calculator

A z-score measures how many standard deviations a value is from the mean.

Z-score

1

Percentile

84.13%

75 is 1 standard deviations above the mean. 84.13% of values fall below it.

Normal distribution visual

meanz=1
Step-by-step working
  1. z = (x - mean) / standard deviation.
  2. z = (75 - 70) / 5.
  3. z = 5 / 5 = 1.
  4. 75 is 1 standard deviations above the mean.
  5. Percentile = Φ(1) x 100 = 84.1345%.

What is a z-score?

A z-score tells you how far a value is from the mean in standard deviation units.

How to interpret z-scores

Positive z-scores are above the mean, negative z-scores are below it, and z = 0 is exactly average.

Z-scores in grading and testing

Z-scores let you compare scores from different tests by putting them on the same standard scale.

Standard normal distribution

The standard normal distribution has mean 0 and standard deviation 1. Z-score probabilities come from this curve.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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