# MATH 331: Introductory Probability | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_331)

## Dataset

### revision

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## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

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### course id

MATH 331

### course uid

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### catalog version id

5f0aad4ae714ffce140ac27caa694bb14be76e00bb05d01aef77d1ede0d6f694

### course number

331

### subjects

* MATH

### title

INTRODUCTORY PROBABILITY

### description

Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, conditional probability and conditional expectations, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem. Includes a brief introduction to techniques of multivariate integration.

### requirements text

MATH 213or222. Not open to students with credit forMATH/​STAT  309orSTAT/​MATH  431.

### credits min

3

### credits max

3

### credit offering ids

* 1272:600:011652

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### llm task version

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### llm search status

valid

### llm summary

MATH 331 INTRODUCTORY PROBABILITY covers axioms, distributions, expectation, inequalities, and limit theorems.

### llm topics

* Probability axioms and distributions
* Multivariate integration

### llm skills

* Probability theory and distributions
* Multivariate integration techniques

### llm assumed background

* Calculus and multivariable integration techniques
* Single-variable calculus foundations

### llm search phrases

* introductory probability course
* MATH 331 prerequisites
* probability and statistics background
* calculus for probability

### llm requirements status

needs\_review

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

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#### course id

MATH 331

#### current instructors

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  {
    "instructor_uid": "instructor_81b19386639c1eb68bbb4ae0",
    "message": "No course-specific reviews available",
    "name": "Benedek Valko",
    "review_status": "no_course_reviews",
    "rmp_instructor_id": "rmp:1566085",
    "summary": [
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        "text": "Recent recorded grades — Fall 2009: 2.63 GPA, 46.7% A/AB (n=15 letter grades)."
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```

#### difficulty workload

Historical reviews of Yukun Yue: Yukun Yue’s course was reported as difficult, with exams containing unexpected proofs and varying in difficulty compared to practice materials. Success required significant study effort and reliance on practice problems.

```json
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```

#### errors

None recorded.

#### historical context

Historical reviews for Alexander Fish, Shi Jin, and Yukun Yue highlight significant instructional issues, including incorrect board work, confusing derivations, and unexpectedly difficult exams. While some reviewers noted that Yue was helpful and cared about student learning, others found his lectures poor and exams harsh. These accounts suggest inconsistent teaching quality and clarity among past instructors.

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    {
      "instructor_name": "Shi Jin",
      "review_date": "2013-01-13 20:03:41 +0000 UTC",
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    },
    {
      "instructor_name": " Hyukpyo Hong",
      "review_date": "2025-12-25 15:40:03 +0000 UTC",
      "review_id": "9f32e9dfbb197ff89bf572d9",
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    {
      "instructor_name": " Hyukpyo Hong",
      "review_date": "2026-05-04 01:05:45 +0000 UTC",
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    {
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      "review_date": "2026-05-07 02:46:20 +0000 UTC",
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```

#### offered

true

#### profile hash

e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1

#### quick take

Historical reviews for Hyukpyo Hong describe him as an exceptionally clear, articulate, and prepared lecturer who effectively deconstructs complex concepts. While some students found the course difficult, they praised his structured teaching style and clarity.

```json
{
  "citations": [
    {
      "instructor_name": " Hyukpyo Hong",
      "review_date": "2025-12-25 15:40:03 +0000 UTC",
      "review_id": "9f32e9dfbb197ff89bf572d9",
      "run_id": "20260907T155543-ce3781c4",
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      "type": "review"
    },
    {
      "instructor_name": " Hyukpyo Hong",
      "review_date": "2026-05-04 01:05:45 +0000 UTC",
      "review_id": "beaf63fb7a20875a8353deb6",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:3002810",
      "source_review_id": "UmF0aW5nLTQzMDEzMjcz",
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    },
    {
      "instructor_name": " Hyukpyo Hong",
      "review_date": "2026-05-07 05:38:55 +0000 UTC",
      "review_id": "fc2cc20c95a9f53608bb14f4",
      "run_id": "20260907T155543-ce3781c4",
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      "type": "review"
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```

Recent recorded grades — Spring 2025: 3.09 GPA, 46.1% A/AB (n=89 letter grades); Fall 2025: 3.13 GPA, 45.8% A/AB (n=107 letter grades); Spring 2026: 3.14 GPA, 50.7% A/AB (n=146 letter grades).

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#### student experience

Historical reviews of Yukun Yue: Reviewers noted that while Yukun Yue’s lectures focused heavily on derivations rather than examples, he was willing to help students who asked. This support was appreciated despite the challenging lecture style.

```json
{
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```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

ALEXANDER FISH is recorded teaching in Spring 2010, Fall 2010, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.

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      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1104",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1112",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 2,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1114",
      "type": "grade"
    }
  ]
}
```

BENEDEK VALKO is recorded teaching in Fall 2009. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1102",
      "type": "grade"
    }
  ]
}
```

HYUKPYO HONG is recorded teaching in Spring 2025, Fall 2025, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1254",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1262",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1264",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 2,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1264",
      "type": "grade"
    }
  ]
}
```

SHI JIN is recorded teaching in Fall 2007, Fall 2012. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1082",
      "type": "grade"
    },
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 2,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
        "entity_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1132",
      "type": "grade"
    }
  ]
}
```

YUKUN YUE is recorded teaching in Fall 2024. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 331",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4fdf38ee-9c24-3c19-9aa5-2f79147a4445",
      "source_record": {
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        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1252",
      "type": "grade"
    }
  ]
}
```

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
[
  {
    "children": [
      "n1",
      "n2",
      "n3"
    ],
    "condition": null,
    "course": null,
    "evidence": "MATH 213or222. Not open to students with credit forMATH/STAT 309orSTAT/MATH 431.",
    "id": "n0",
    "kind": "all"
  },
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 213,
      "minimum_grade": null,
      "subjects": [
        "MATH"
      ],
      "timing": "prior"
    },
    "evidence": "MATH 213",
    "id": "n1",
    "kind": "course"
  },
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 222,
      "minimum_grade": null,
      "subjects": [
        "MATH"
      ],
      "timing": "prior"
    },
    "evidence": "222",
    "id": "n2",
    "kind": "course"
  },
  {
    "children": [
      "n4"
    ],
    "condition": null,
    "course": null,
    "evidence": "Not open to students with credit forMATH/STAT 309orSTAT/MATH 431.",
    "id": "n3",
    "kind": "not"
  },
  {
    "children": [
      "n5",
      "n6"
    ],
    "condition": null,
    "course": null,
    "evidence": "credit forMATH/STAT 309orSTAT/MATH 431",
    "id": "n4",
    "kind": "any"
  },
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 309,
      "minimum_grade": null,
      "subjects": [
        "MATH",
        "STAT"
      ],
      "timing": "prior"
    },
    "evidence": "MATH/STAT 309",
    "id": "n5",
    "kind": "course"
  },
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 431,
      "minimum_grade": null,
      "subjects": [
        "MATH",
        "STAT"
      ],
      "timing": "prior"
    },
    "evidence": "STAT/MATH 431",
    "id": "n6",
    "kind": "course"
  }
]
```

#### notes

* Root is an all node combining prerequisites and exclusion.
* Prerequisites are n1, n2.
* Exclusion is n3 (not) containing n4 (any of the excluded courses).
* This structure correctly applies the exclusion to the whole eligibility set.

#### root

n0

#### status

needs\_review

### instructors

```json
[
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    "source": "enrollment",
    "source_instructor_id": "cochran4",
    "identity_basis": "netid",
    "identity_status": "source_identified",
    "name": "Amy Cochran",
    "email": "COCHRAN4@WISC.EDU",
    "first_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "ratings": {
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      "quality_count": 9,
      "difficulty_count": 9,
      "profile_id": "rmp:2795194",
      "source_url": "https://www.ratemyprofessors.com/professor/2795194",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:56:00.641594+00:00",
      "courses": {},
      "bayesian_quality": 3.973231574859721,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "instructor_url": "/instructors/AMY_COCHRAN"
  },
  {
    "instructor_uid": "instructor_81b19386639c1eb68bbb4ae0",
    "source": "enrollment",
    "source_instructor_id": "valko",
    "identity_basis": "netid",
    "identity_status": "source_identified",
    "name": "Benedek Valko",
    "email": "VALKO@MATH.WISC.EDU",
    "first_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "ratings": {
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      "profile_id": "rmp:1566085",
      "source_url": "https://www.ratemyprofessors.com/professor/1566085",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:52:13.892497+00:00",
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    "instructor_url": "/instructors/BENEDEK_VALKO"
  }
]
```

### offerings

```json
[
  {
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    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:011652",
    "course_id": "MATH 331",
    "course_uid": "course_5d5f3a3f185baf9eaaa98221",
    "term_id": "1272",
    "source_course_id": "011652",
    "source_subject_id": "600",
    "title": "Introductory Probability",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Spring"
  }
]
```

### sections

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "section_uid": "uw-section:1272:29084",
    "term_id": "1272",
    "source_section_id": "29084",
    "identity_basis": "class_number",
    "section_number": "001",
    "section_type": "LEC",
    "instruction_mode": "Classroom Instruction",
    "capacity": 66,
    "enrolled": 57,
    "waitlisted": 0,
    "start_date": "2026-09-02 05:00:00+00:00",
    "end_date": "2026-12-09 06:00:00+00:00"
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "section_uid": "uw-section:1272:31307",
    "term_id": "1272",
    "source_section_id": "31307",
    "identity_basis": "class_number",
    "section_number": "002",
    "section_type": "LEC",
    "instruction_mode": "Classroom Instruction",
    "capacity": 68,
    "enrolled": 61,
    "waitlisted": 1,
    "start_date": "2026-09-02 05:00:00+00:00",
    "end_date": "2026-12-09 06:00:00+00:00"
  }
]
```

### grade instructors

```json
[
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    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "JAMES D KUELBS",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "grade_statistics": {
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    "instructor_url": "/instructors/JAMES_D_KUELBS--instructor_8ed8687c25ad13a5614f751c"
  },
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    "source": "madgrades",
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    "name": "SERGUEI DENISSOV",
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### grades

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]
```

### statistics

#### gpa

2.992

#### graded

765

#### counts

* 244
* 101
* 190
* 55
* 110
* 32
* 33

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_5d5f3a3f185baf9eaaa98221-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_5d5f3a3f185baf9eaaa98221-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_5d5f3a3f185baf9eaaa98221-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_5d5f3a3f185baf9eaaa98221-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_5d5f3a3f185baf9eaaa98221-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_5d5f3a3f185baf9eaaa98221-0.json)

#### meetings

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_5d5f3a3f185baf9eaaa98221-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_5d5f3a3f185baf9eaaa98221-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_5d5f3a3f185baf9eaaa98221-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_5d5f3a3f185baf9eaaa98221-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

2.992156862745098

#### count

765

#### university

##### size

4935

##### gpa Percentile

2

##### count Percentile

86

##### median Count

151

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 20    | false   |
| 2.8–3.2 | 396   | true    |
| 3.2–3.6 | 1446  | false   |
| 3.6–4.0 | 3073  | false   |

#### departments

```json
[
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      "gpaPercentile": 11,
      "countPercentile": 80,
      "medianCount": 155.5,
      "histogram": [
        {
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          "current": false
        },
        {
          "range": "0.4–0.8",
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        },
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          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 31,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 23,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 61,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

3

##### count

15

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1074

##### term

1074

##### gpa

3.0588235294117645

##### count

17

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1082

##### term

1082

##### gpa

3.2777777777777777

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1084

##### term

1084

##### gpa

2.840909090909091

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1092

##### term

1092

##### gpa

2.619047619047619

##### count

21

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1094

##### term

1094

##### gpa

2.861111111111111

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1102

##### term

1102

##### gpa

2.6333333333333333

##### count

15

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1104

##### term

1104

##### gpa

1.7115384615384615

##### count

26

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1112

##### term

1112

##### gpa

3.0454545454545454

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1114

##### term

1114

##### gpa

2.880952380952381

##### count

21

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1122

##### term

1122

##### gpa

2.6785714285714284

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1124

##### term

1124

##### gpa

3.4285714285714284

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1132

##### term

1132

##### gpa

3.0714285714285716

##### count

28

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1134

##### term

1134

##### gpa

2.967741935483871

##### count

31

##### university

###### size

852

###### gpa Percentile

13

###### count Percentile

2

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 2     | false   |
| 2.4–2.8 | 30    | false   |
| 2.8–3.2 | 229   | true    |
| 3.2–3.6 | 304   | false   |
| 3.6–4.0 | 287   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 26,
      "gpaPercentile": 60,
      "countPercentile": 0,
      "medianCount": 83.5,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 19,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 3,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 0,
          "current": false
        }
      ]
    }
  }
]
```

#### 1142

##### term

1142

##### gpa

3.2142857142857144

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1244

##### term

1244

##### gpa

3.019230769230769

##### count

52

##### university

###### size

1241

###### gpa Percentile

5

###### count Percentile

38

###### median Count

65

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 2     | false   |
| 2.4–2.8 | 9     | false   |
| 2.8–3.2 | 151   | true    |
| 3.2–3.6 | 373   | false   |
| 3.6–4.0 | 706   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 31,
      "countPercentile": 38,
      "medianCount": 68,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 2,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 2,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": false
        }
      ]
    }
  }
]
```

#### 1252

##### term

1252

##### gpa

2.92

##### count

75

##### university

###### size

1333

###### gpa Percentile

2

###### count Percentile

53

###### median Count

69

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 14    | false   |
| 2.8–3.2 | 115   | true    |
| 3.2–3.6 | 431   | false   |
| 3.6–4.0 | 773   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 12,
      "countPercentile": 52,
      "medianCount": 74,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": false
        }
      ]
    }
  }
]
```

#### 1254

##### term

1254

##### gpa

3.0898876404494384

##### count

89

##### university

###### size

1289

###### gpa Percentile

7

###### count Percentile

64

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 128   | true    |
| 3.2–3.6 | 379   | false   |
| 3.6–4.0 | 765   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 34,
      "countPercentile": 50,
      "medianCount": 89,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 6,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 16,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 4,
          "current": false
        }
      ]
    }
  }
]
```

#### 1262

##### term

1262

##### gpa

3.1261682242990654

##### count

107

##### university

###### size

1320

###### gpa Percentile

7

###### count Percentile

69

###### median Count

70

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 8     | false   |
| 2.8–3.2 | 133   | true    |
| 3.2–3.6 | 381   | false   |
| 3.6–4.0 | 797   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 38,
      "countPercentile": 60,
      "medianCount": 81,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

#### 1264

##### term

1264

##### gpa

3.1404109589041096

##### count

146

##### university

###### size

1283

###### gpa Percentile

9

###### count Percentile

80

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 20    | false   |
| 2.8–3.2 | 130   | true    |
| 3.2–3.6 | 343   | false   |
| 3.6–4.0 | 789   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 42,
      "gpaPercentile": 54,
      "countPercentile": 73,
      "medianCount": 80,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 7,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

4935

###### gpa

3.6473578226690657

###### top Share

81.0513551166938

###### count

151

##### MATH

###### size

120

###### gpa

3.5020109872044958

###### top Share

72.58806668622216

###### count

155.5

#### terms

##### 1072

###### school

###### size

723

###### gpa

3.344595727439471

###### top Share

62.012941427864526

###### count

67

###### MATH

###### size

21

###### gpa

2.878188611674867

###### top Share

40.4748751710427

###### count

115

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 1082

###### school

###### size

723

###### gpa

3.3583896732335172

###### top Share

62.932746798940194

###### count

68

###### MATH

###### size

20

###### gpa

2.8603540012311925

###### top Share

39.28661748894661

###### count

122

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 1092

###### school

###### size

732

###### gpa

3.374660709520374

###### top Share

63.690339324346596

###### count

70

###### MATH

###### size

22

###### gpa

2.8820162698417926

###### top Share

39.71597770466243

###### count

131

##### 1094

###### school

###### size

758

###### gpa

3.3891454428111527

###### top Share

64.36369814389255

###### count

71

###### MATH

###### size

19

###### gpa

2.861322177541941

###### top Share

40.26350030907326

###### count

108

##### 1102

###### school

###### size

774

###### gpa

3.36712622366007

###### top Share

63.703228532165696

###### count

67

###### MATH

###### size

27

###### gpa

2.936619140855453

###### top Share

42.28372460948232

###### count

76

##### 1104

###### school

###### size

793

###### gpa

3.384661458923085

###### top Share

64.6614752434143

###### count

66

###### MATH

###### size

23

###### gpa

2.9531575824731964

###### top Share

43.549837152646596

###### count

98

##### 1112

###### school

###### size

805

###### gpa

3.3737773184830386

###### top Share

63.91039244872789

###### count

66

###### MATH

###### size

26

###### gpa

2.9941347625171355

###### top Share

43.79682105650899

###### count

87

##### 1114

###### school

###### size

804

###### gpa

3.3696004653806844

###### top Share

64.0389334741844

###### count

68

###### MATH

###### size

26

###### gpa

2.9090822348911582

###### top Share

41.14706210117883

###### count

83.5

##### 1122

###### school

###### size

804

###### gpa

3.3737149752667013

###### top Share

63.65118790117902

###### count

70

###### MATH

###### size

27

###### gpa

2.898067749128924

###### top Share

42.09489165698714

###### count

103

##### 1124

###### school

###### size

821

###### gpa

3.406589342026613

###### top Share

66.35774230127205

###### count

67

###### MATH

###### size

28

###### gpa

2.9109864595893504

###### top Share

42.40580272314707

###### count

75

##### 1132

###### school

###### size

851

###### gpa

3.391128778809763

###### top Share

64.69509437122704

###### count

66

###### MATH

###### size

25

###### gpa

2.9605395515107897

###### top Share

42.794601137643824

###### count

108

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 1142

###### school

###### size

853

###### gpa

3.3941849959684913

###### top Share

65.28450334228523

###### count

67

###### MATH

###### size

31

###### gpa

3.009040780059457

###### top Share

45.87481076818359

###### count

77

##### 1244

###### school

###### size

1241

###### gpa

3.5975573126929192

###### top Share

78.29036874847135

###### count

65

###### MATH

###### size

43

###### gpa

3.228240949537157

###### top Share

55.86451059486035

###### count

68

##### 1252

###### school

###### size

1333

###### gpa

3.619494049739118

###### top Share

79.71442190500672

###### count

69

###### MATH

###### size

43

###### gpa

3.185692541204979

###### top Share

54.14175342403773

###### count

74

##### 1254

###### school

###### size

1289

###### gpa

3.6126423469389106

###### top Share

79.48050408754871

###### count

66

###### MATH

###### size

39

###### gpa

3.180435541912479

###### top Share

53.878371816747475

###### count

89

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### MATH

###### size

43

###### gpa

3.2481769276584003

###### top Share

56.325967864851854

###### count

81

##### 1264

###### school

###### size

1283

###### gpa

3.6229729166451925

###### top Share

80.13669149396227

###### count

66

###### MATH

###### size

42

###### gpa

3.13598176627681

###### top Share

52.25969905887213

###### count

80

## instructor Trends

```json
[
  {
    "uid": "instructor_682fdb912c188130e6fcf21f",
    "name": "HYUKPYO HONG",
    "count": 296,
    "terms": [
      {
        "term": "1254",
        "count": 89,
        "sections": 1,
        "gpa": 3.0898876404494384
      },
      {
        "term": "1262",
        "count": 61,
        "sections": 1,
        "gpa": 3.0163934426229506
      },
      {
        "term": "1264",
        "count": 146,
        "sections": 2,
        "gpa": 3.1404109589041096
      }
    ]
  },
  {
    "uid": "instructor_8cca9ba687fd51d70fdd3ba1",
    "name": "YUKUN YUE",
    "count": 75,
    "terms": [
      {
        "term": "1252",
        "count": 75,
        "sections": 1,
        "gpa": 2.92
      }
    ]
  },
  {
    "uid": "instructor_79e0c57b8b4bf6b90536c187",
    "name": "ALEXANDER FISH",
    "count": 69,
    "terms": [
      {
        "term": "1104",
        "count": 26,
        "sections": 1,
        "gpa": 1.7115384615384615
      },
      {
        "term": "1112",
        "count": 22,
        "sections": 1,
        "gpa": 3.0454545454545454
      },
      {
        "term": "1114",
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        "gpa": 2.880952380952381
      }
    ]
  },
  {
    "uid": "instructor_c481c873d1705efea961239c",
    "name": "YUCHEN LIAO",
    "count": 52,
    "terms": [
      {
        "term": "1244",
        "count": 52,
        "sections": 1,
        "gpa": 3.019230769230769
      }
    ]
  },
  {
    "uid": "instructor_2fcd8ca860c9e8174b0b4bd0",
    "name": "SHI JIN",
    "count": 46,
    "terms": [
      {
        "term": "1082",
        "count": 18,
        "sections": 1,
        "gpa": 3.2777777777777777
      },
      {
        "term": "1132",
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        "gpa": 3.0714285714285716
      }
    ]
  },
  {
    "uid": "instructor_bfe4af4185f03aa74bee4a38",
    "name": "HAIXIAO WANG",
    "count": 46,
    "terms": [
      {
        "term": "1262",
        "count": 46,
        "sections": 1,
        "gpa": 3.2717391304347827
      }
    ]
  },
  {
    "uid": "instructor_74c5f2722d98d13de18c1d20",
    "name": "DAVID ANDERSON",
    "count": 43,
    "terms": [
      {
        "term": "1084",
        "count": 22,
        "sections": 1,
        "gpa": 2.840909090909091
      },
      {
        "term": "1092",
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      }
    ]
  },
  {
    "uid": "instructor_ec22b3679a357165d2295d3a",
    "name": "SAVERIO SPAGNOLIE",
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    "terms": [
      {
        "term": "1134",
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      }
    ]
  },
  {
    "uid": "instructor_41334d3cdcc7ac754da16061",
    "name": "DONGMING WEI",
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      {
        "term": "1094",
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      }
    ]
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  {
    "uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "name": "SERGUEI DENISSOV",
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    "terms": [
      {
        "term": "1074",
        "count": 17,
        "sections": 1,
        "gpa": 3.0588235294117645
      }
    ]
  },
  {
    "uid": "instructor_8ed8687c25ad13a5614f751c",
    "name": "JAMES D KUELBS",
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    "terms": [
      {
        "term": "1072",
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        "gpa": 3
      }
    ]
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  {
    "uid": "instructor_cda4aae4567f70b662d00163",
    "name": "BENEDEK VALKO",
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      }
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  {
    "uid": "instructor_0a9a7c5c9ed52646788c2132",
    "name": "JUN YIN",
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    "terms": [
      {
        "term": "1122",
        "count": 14,
        "sections": 1,
        "gpa": 2.6785714285714284
      }
    ]
  },
  {
    "uid": "instructor_61225c0eff5b70a15f7b6618",
    "name": "ARNOLD W MILLER",
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    "terms": [
      {
        "term": "1124",
        "count": 14,
        "sections": 1,
        "gpa": 3.4285714285714284
      }
    ]
  },
  {
    "uid": "instructor_a19b17502e85c5e433a5c53f",
    "name": "SEBASTIEN ROCH",
    "count": 14,
    "terms": [
      {
        "term": "1142",
        "count": 14,
        "sections": 1,
        "gpa": 3.2142857142857144
      }
    ]
  }
]
```

## following

| code             | title                                          |
| ---------------- | ---------------------------------------------- |
| ACTSCI 300       | PROBABILITY FOR ACTUARIES                      |
| ACTSCI 650       | FUNDAMENTALS OF LONG-TERM ACTUARIAL MODELING   |
| CHEM 361         | MACHINE LEARNING IN CHEMISTRY                  |
| COMPSCI 540      | INTRODUCTION TO ARTIFICIAL INTELLIGENCE        |
| COMPSCI 541      | THEORY & ALGORITHMS FOR DATA SCIENCE           |
| COMPSCI 566      | INTRODUCTION TO COMPUTER VISION                |
| COMPSCI 580      | INTELLIGENT ROBOTICS                           |
| ECE/ISYE 570     | ETHICS OF DATA FOR ENGINEERS                   |
| ECON/FINANCE 300 | INTRODUCTION TO FINANCE                        |
| GENBUS 317       | MATHEMATICAL FOUNDATIONS OF BUSINESS ANALYTICS |
| OTM 453          | OPERATIONS ANALYTICS                           |
| RMI 655          | RISK FINANCING TECHNIQUES                      |
| RMI 660          | RISK ANALYTICS AND BEHAVIORAL SCIENCE          |
| STAT 461         | FINANCIAL STATISTICS                           |

## projection

### target

1272

### gpa

3.069703254610402

### grades

| grade | percentage         |
| ----- | ------------------ |
| A     | 33.716616729206365 |
| AB    | 13.092064871614614 |
| B     | 25.77781400693449  |
| BC    | 6.472585014509604  |
| C     | 14.58782362338602  |
| D     | 3.591079689714106  |
| F     | 2.7620160646347927 |

### source Terms

* 1264
* 1262
* 1254
* 1252
* 1244

### source Count

469

### same Season

false

### historical Range

* 2.92
* 3.1404109589041096
