Exams / Japan
Hensachi Calculator (偏差値)
Work out a hensachi, the standard score used in Japanese exams, from a score, the average, and the standard deviation; or the score a hensachi needs, with the share of test takers above you.
Hensachi Calculator (偏差値): Hensachi rescales a score so that the average is 50 and one standard deviation is 10 points: 50 + 10 × (score − average) ÷ standard deviation. A hensachi of 60 is one standard deviation above the average, and assuming normally distributed scores about 16% of test takers score higher; 70 is about the top 2.3%. From a list of scores, the average and the standard deviation are worked out for you. Runs 100% locally in your browser with zero server file uploads.
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- School & study tools
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Hensachi = 50 + 10 × (score − average) ÷ standard deviation. The share and rank assume the scores follow a normal distribution, as large exams roughly do.
Hensachi and percentiles
If scores are normally distributed, a hensachi of 40 is about the 16th percentile, 50 the middle, 55 about the 69th percentile, 60 the 84th, 65 the 93rd, and 70 the 98th. Real exam results are often skewed, so treat the shares as estimates.
For the average and standard deviation of any list of numbers, use the statistics calculator.
Why the same score gives different hensachi
Hensachi compares you with the people who took the same test. A score of 70 is a high hensachi in a test where most scored 50, and an ordinary one where most scored 70, which is why mock exams with stronger candidates give lower hensachi for the same ability.
How to use it
- Enter your score, the average score, and the standard deviation; or paste everyone's scores.
- Read your hensachi, and the share of test takers who scored lower and higher.
- To set a target, switch to Hensachi to score and enter the hensachi you want.
Privacy & limitations
The calculation runs in your browser; scores are not sent anywhere.
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Frequently asked questions
What hensachi do universities need?
University hensachi rankings come from mock-exam companies, each with its own pool of test takers, so the same university can show different values. Compare figures from the same company.
Can hensachi go above 100?
In theory, yes, when a score is more than five standard deviations above the average, but in large exams values above 80 are rare.
Which standard deviation should I use?
The one published with the exam results. When you only have the scores, paste them all: the calculator uses the population standard deviation, as exam reports do.
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