Japan

Hensachi (偏差値) calculator

Hensachi is a T-score: mean 50, standard deviation 10. Enter your score with the exam's mean and SD to see where you stand.

⚠️ The hensachi formula itself is stable worldwide, but which hensachi maps to which university varies every year and by prep-school/mock-exam provider. The band table below is only a rough summary of public data — always check the latest from providers like Kawaijuku or Sundai.

Hensachi (偏差値)Formula: (your score − mean) ÷ SD × 10 + 50
PercentileYour relative position among all test-takers

University placement reference (hensachi bands)

Rough mapping summarized from public data of major mock-exam providers (Kawaijuku, Sundai, Shinken), matched live against your hensachi above. Cohorts differ by provider and year — always verify with the latest provider data.

Hensachi bandUniversity tierTypical placement

Hensachi level reference

HensachiRelative level
Common uses
  • Interpreting mock exam results
  • Gauging university admission likelihood
  • Understanding your relative standing among test-takers

What hensachi actually measures

Hensachi (偏差値) is a T-score: a rescaling of the Z-score onto a distribution with a mean of 50 and a standard deviation of 10.

hensachi = 50 + 10 × (score − mean) ÷ standard deviation

So hensachi 50 is exactly average for whoever sat that exam, 60 is one standard deviation above the mean, and 70 is two. Assuming an approximately normal distribution, that maps onto percentiles as follows:

HensachiZ-scoreTop %
75+2.50.6%
70+2.02.3%
65+1.56.7%
60+1.015.9%
55+0.530.9%
50050.0%

The critical caveat: hensachi is relative to the cohort

Because hensachi is computed from the mean and standard deviation of the people who took that particular exam, the same ability produces different hensachi on different exams. This is the single most important thing to understand about the number, and the source of most confusion around it.

A mock exam sat mainly by candidates targeting the most competitive universities has a high mean. A student of fixed ability will score a lower hensachi on that exam than on one taken by a broader cohort — not because they got worse, but because the reference group got stronger. Hensachi from different providers, or from exams aimed at different tiers, are not directly comparable.

This is why Japanese students track hensachi from one provider consistently across a year rather than mixing sources, and why university "hensachi rankings" always specify which provider's scale they use.

Worked example

A student scores 72 on a mock exam where the mean was 58 and the standard deviation 12.

hensachi = 50 + 10 × (72 − 58) ÷ 12 = 50 + 10 × 1.167 = 61.7, which is roughly the top 12% of that cohort.

The same raw 72 on an easier exam with mean 65 and SD 10 gives 50 + 10 × 0.7 = 57. Same score, different exam, meaningfully different position. Always enter the mean and SD from the specific exam you sat.

Reading university tier references

The reference table in the calculator groups universities into approximate hensachi bands. Some orientation on the tiers it refers to:

  • Former imperial universities (旧帝大) — Tokyo, Kyoto, Tohoku, Kyushu, Hokkaido, Osaka, Nagoya. The historic national research universities.
  • Waseda, Keio, Sophia (早慶上智) — the most selective private universities.
  • MARCH — Meiji, Aoyama Gakuin, Rikkyo, Chuo, Hosei. A commonly used grouping of selective private universities below the top tier.
  • Kansai's 関関同立 — Kansai, Kwansei Gakuin, Doshisha, Ritsumeikan.

These bands are synthesised from publicly available mock-exam provider data and are not official. No Japanese university publishes an official hensachi requirement — the figures circulating are estimates produced by preparatory schools from their own candidates' outcomes, which is why they differ between providers.

Hensachi is not the admission mechanism

Japanese university admission runs on the actual entrance examinations: the Common Test for University Admissions (大学入学共通テスト) followed by each university's own second-stage exam (二次試験), plus recommendation and comprehensive selection routes. Hensachi is a planning tool used to judge which universities are realistic targets — it appears nowhere in the actual decision.

Faculty matters as much as institution: medicine at a mid-tier national university typically requires a far higher hensachi than most faculties at a more prestigious one.

Common mistakes

  • Comparing hensachi across providers. Different cohorts, different scales.
  • Using the overall figure when the subject figure matters. Faculties weight subjects differently; a strong overall hensachi with a weak figure in the key subject is a weaker position than it looks.
  • Treating hensachi as fixed. It is a snapshot of one exam against one cohort, and moves considerably over a year of preparation.
  • Assuming normality holds exactly. The percentile column above assumes a normal distribution. Real exam distributions are often skewed, especially where there are ceiling effects, so the tail percentages are approximations.

Related tools

Hensachi is mathematically identical to the T-score, so the normal distribution converter will produce the same answer and also show the matching IQ-scale and percentile values. Korea's CSAT standard score uses the same construction with different constants.

Sources

This site is not affiliated with any Japanese university, examination body or preparatory school.