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The codes on the top left of their cards matched, at least first few number,
102-660202... The number of students taking the exam matched, 234516. So we
can tell they took the same exam.

  1. Why did Itsuki only get 4 subject scores? Did she literally skip one? If so, why? Is it possible to tell which one based on Japan's rule for listing scores?

  2. According to Futaro's card, you need an above 54.8 deviation to be graded D. Itsuki's is 48.7. How did she get a D? Maybe she should get F?

  3. How are their deviations calculated? What statistics can be deduced using those on their cards? (Just for your convenience, Itsuki's ranking is 176598/234516.)

Futaro  
[![Futaro's](https://i.stack.imgur.com/aYe8c.jpg)](https://i.stack.imgur.com/aYe8c.jpg)

Itsuki  
[![Itsuki's](https://i.stack.imgur.com/cWgh3.jpg)](https://i.stack.imgur.com/cWgh3.jpg)

Itsuki 2 [![Itsuki's
2](https://i.stack.imgur.com/KYSc4.jpg)](https://i.stack.imgur.com/KYSc4.jpg)


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the-quintessential-quintuplets
What happened to Itsuki's report card?


> Why did Itsuki only get 4 subject scores? Did she literally skip one? If so,
> why? Is it possible to tell which one based on Japan's rule for listing
> scores?

Most probably literally skipped one. In Japan, the actual test is (mostly)
prepared by each university. That is, different tests for different
universities. Which subjects to be included is also a decision on the
university side. So, when a student applies to a university requiring fewer
subjects, s/he will take those practice tests with fewer subjects.

> According to Futaro's card, you need an above 54.8 deviation to be graded D.
> Itsuki's is 48.7. How did she get a D? Maybe she should get F?

As indicated above (and commented), it depends on the university. From the
scene, you can tell the university Itsuki is going to apply is easier to get
in. (Roughly, you can think this way: if the university on Futaro's card is
Harvard, the university on Itsuki's card is a lower-ranked one)

> How are their deviations calculated? What statistics can be deduced using
> those on their cards? (Just for your convenience, Itsuki's ranking is
> 176598/234516.)

It is called
[Hensachi](https://ja.wikipedia.org/wiki/%E5%AD%A6%E5%8A%9B%E5%81%8F%E5%B7%AE%E5%80%A4).
According to the article, it is calculated with:

  * A x { (Score - Average Score) / Standard deviation } + B,

where A=10 and B=50 (In SAT, A=100 and B=500). Hensachi/deviation-score 50
means one got the average score, so Itsuki is slightly less.


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Perhaps A,B,C,D,E,F are different depending on the university or the programme
applied to.

Eg University of Educational Psychology has lower standards compared to
Ninomiya University.


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