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Standard Score (Hensachi) Calculator

Enter your score, group average, and standard deviation to calculate hensachi, the Japanese 50-centered standard score. You can also estimate a range or reverse the formula.

Free, no sign-up, no ads, and fully browser-based

How to use it

  1. 1

    Choose exact, estimated SD, or target-score mode.

  2. 2

    Enter the score, mean, and standard deviation or target hensachi.

  3. 3

    Read the result and formula, then prefer the official testing report when available.

A 50-centered measure of distance from the mean

Hensachi is calculated as 50+10×(score−mean)÷standard deviation. A score at the mean becomes 50, one standard deviation above becomes 60, and one below becomes 40. It compares position within the group that took that test, so the same raw score can produce different results when the mean or spread changes.

Estimated mode shows a range using standard deviations of 15 and 20 because an exact result is impossible without the actual spread. That range is illustrative, not an official score. Testing organizations may apply subject or population adjustments and rounding, so their report can differ from this simple formula. Hensachi also does not compare ability absolutely across unrelated exams. Use the result to set direction, then turn specific errors into review tasks.

Frequently asked questions

Can I calculate it without standard deviation?

Only an estimate. The tool displays a range based on assumed SD values of 15 and 20, which may not match the real test.

What raw score gives hensachi 50?

The group mean. If the average is 62, a raw score of 62 produces 50 under the basic formula.

What score is needed for hensachi 70?

It is mean plus two standard deviations. With mean 60 and SD 12, the required score is 84.

Why does it differ from my official report?

The provider may adjust populations or subjects and use different rounding. Treat the official report as authoritative.

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Learn the method behind the tool

Results are planning estimates. Prefer official exam, school, and testing-provider information when making decisions.

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