REPORT FOR: Theta Combinatorics and Probability - Nationals 2024
(Jump to Results By Student)

MEAN SCORE: 75.125     STANDARD DEVIATION: 33.16     MEDIAN SCORE: 71.5

Average number of questions left blank:	7.9
Average number of questions answered incorrectly:	8.7
Average number of questions answered correctly:	13.4

Question #1:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	27.5%	17.5%	15.0%	7.5%	0.0%		32.5%	50.0%	17.5%
Number of students (out of 40)	11	7	6	3	0		13	20	7

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Question #2:     Correct Answer: E

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	10.0%	7.5%	27.5%	15.0%	15.0%		25.0%	60.0%	15.0%
Number of students (out of 40)	4	3	11	6	6		10	24	6

---

Question #3:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	7.5%	27.5%	7.5%	12.5%	2.5%		42.5%	30.0%	27.5%
Number of students (out of 40)	3	11	3	5	1		17	12	11

---

Question #4:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	0.0%	70.0%	2.5%	10.0%		17.5%	12.5%	70.0%
Number of students (out of 40)	0	0	28	1	4		7	5	28

---

Question #5:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	7.5%	0.0%	22.5%	17.5%	7.5%		45.0%	37.5%	17.5%
Number of students (out of 40)	3	0	9	7	3		18	15	7

---

Question #6:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	10.0%	35.0%	10.0%	10.0%	12.5%		22.5%	42.5%	35.0%
Number of students (out of 40)	4	14	4	4	5		9	17	14

---

Question #7:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.0%	10.0%	5.0%	32.5%	5.0%		42.5%	25.0%	32.5%
Number of students (out of 40)	2	4	2	13	2		17	10	13

---

Question #8:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	15.0%	22.5%	50.0%	7.5%	0.0%		5.0%	72.5%	22.5%
Number of students (out of 40)	6	9	20	3	0		2	29	9

---

Question #9:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.0%	22.5%	20.0%	35.0%	0.0%		17.5%	47.5%	35.0%
Number of students (out of 40)	2	9	8	14	0		7	19	14

---

Question #10:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	2.5%	80.0%	5.0%	0.0%		12.5%	7.5%	80.0%
Number of students (out of 40)	0	1	32	2	0		5	3	32

---

Question #11:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	10.0%	67.5%	0.0%	0.0%	15.0%		7.5%	25.0%	67.5%
Number of students (out of 40)	4	27	0	0	6		3	10	27

---

Question #12:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	67.5%	12.5%	2.5%	5.0%	7.5%		5.0%	27.5%	67.5%
Number of students (out of 40)	27	5	1	2	3		2	11	27

---

Question #13:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	7.5%	55.0%	17.5%	7.5%		12.5%	32.5%	55.0%
Number of students (out of 40)	0	3	22	7	3		5	13	22

---

Question #14:     Correct Answer: B or E

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	27.5%	5.0%	2.5%	22.5%		42.5%	7.5%	50.0%
Number of students (out of 40)	0	11	2	1	9		17	3	20

---

Question #15:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	67.5%	12.5%	5.0%	0.0%	0.0%		15.0%	17.5%	67.5%
Number of students (out of 40)	27	5	2	0	0		6	7	27

---

Question #16:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	2.5%	60.0%	2.5%	2.5%		32.5%	7.5%	60.0%
Number of students (out of 40)	0	1	24	1	1		13	3	24

---

Question #17:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	40.0%	20.0%	5.0%	10.0%		25.0%	35.0%	40.0%
Number of students (out of 40)	0	16	8	2	4		10	14	16

---

Question #18:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	32.5%	5.0%	7.5%	7.5%	2.5%		45.0%	22.5%	32.5%
Number of students (out of 40)	13	2	3	3	1		18	9	13

---

Question #19:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	47.5%	2.5%	2.5%	2.5%	7.5%		37.5%	15.0%	47.5%
Number of students (out of 40)	19	1	1	1	3		15	6	19

---

Question #20:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	7.5%	80.0%	5.0%	0.0%	7.5%		0.0%	20.0%	80.0%
Number of students (out of 40)	3	32	2	0	3		0	8	32

---

Question #21:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	80.0%	15.0%	0.0%	2.5%		2.5%	17.5%	80.0%
Number of students (out of 40)	0	32	6	0	1		1	7	32

---

Question #22:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	7.5%	5.0%	17.5%	35.0%	7.5%		27.5%	55.0%	17.5%
Number of students (out of 40)	3	2	7	14	3		11	22	7

---

Question #23:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	5.0%	5.0%	70.0%	2.5%		17.5%	12.5%	70.0%
Number of students (out of 40)	0	2	2	28	1		7	5	28

---

Question #24:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	12.5%	12.5%	10.0%	47.5%	5.0%		12.5%	40.0%	47.5%
Number of students (out of 40)	5	5	4	19	2		5	16	19

---

Question #25:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	2.5%	20.0%	45.0%	2.5%	5.0%		25.0%	30.0%	45.0%
Number of students (out of 40)	1	8	18	1	2		10	12	18

---

Question #26:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	57.5%	22.5%	0.0%	0.0%	0.0%		20.0%	22.5%	57.5%
Number of students (out of 40)	23	9	0	0	0		8	9	23

---

Question #27:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.0%	0.0%	32.5%	2.5%	7.5%		52.5%	15.0%	32.5%
Number of students (out of 40)	2	0	13	1	3		21	6	13

---

Question #28:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.0%	0.0%	32.5%	12.5%	5.0%		45.0%	22.5%	32.5%
Number of students (out of 40)	2	0	13	5	2		18	9	13

---

Question #29:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.0%	7.5%	5.0%	32.5%	10.0%		40.0%	27.5%	32.5%
Number of students (out of 40)	2	3	2	13	4		16	11	13

---

Question #30:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	17.5%	10.0%	5.0%	2.5%	5.0%		60.0%	30.0%	10.0%
Number of students (out of 40)	7	4	2	1	2		24	12	4

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Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

1st

135

Buchholz High School

Jonathan Lin

B

B

B

C

C

B

D

C

D

C

B

A

C

B

A

C

B

A

A

B

B

C

D

D

C

A

C

C

D

B

2nd

135

Buchholz High School

Daniel Zhang

A

E

B

C

D

B

D

B

D

C

B

A

C

B

A

C

B

A

A

B

B

E

D

D

C

A

C

C

D

A

3rd

130

Vestavia Hills High School

Alan Sheng

B

C

B

C

D

B

D

B

D

C

B

A

C

E

A

C

B

A

A

B

B

D

D

D

C

A

C

E

D

A

4th

121

Vestavia Hills High School

Tate Bogdanchik

A

E

B

E

B

D

B

D

C

B

A

C

B

A

C

E

A

A

B

B

C

D

B

C

A

C

C

D

A

5th

118

Doral Academy

Abhishek Chand

A

B

B

E

B

D

D

D

C

B

A

C

E

A

C

B

A

A

B

B

D

D

C

A

C

C

D

6th

110

Buchholz High School

Anthony Lai

B

A

C

C

B

D

B

D

C

B

A

C

E

A

C

B

A

B

B

D

C

C

C

C

C

7th

110

American Heritage Palm Beach

Sahas Thakur

D

E

C

C

C

B

D

C

D

C

B

A

C

B

A

C

B

A

B

B

B

C

B

D

C

A

C

D

D

A

8th

106

American Heritage Broward

Sanvi Pandya

D

B

C

D

A

C

B

A

C

B

A

C

A

B

B

D

D

D

C

A

C

D

D

B

9th

105

American Heritage Broward

Jonathan Schwartz

C

A

B

C

C

A

B

C

B

C

B

A

C

B

A

C

B

A

A

B

B

C

D

D

B

A

C

C

D

C

10th

100

Vestavia Hills High School

Jaymin Bae

B

C

B

C

D

B

D

B

B

C

B

B

B

B

A

C

B

A

E

B

B

D

D

B

C

A

C

D

B

A

11th

100

American Heritage Palm Beach

Jing Yi Li

E

C

C

B

D

C

B

C

B

A

C

A

C

B

A

A

B

B

D

D

D

C

A

C

E

12th

96

Thomas Jefferson High School

Natalie Wales

A

E

C

B

B

B

D

C

B

A

C

B

A

C

B

E

B

B

B

D

E

C

E

D

13th

95

Buchholz High School

Jubili Bamzai-Wokhlu

B

B

C

E

B

D

C

C

A

C

E

A

B

A

A

B

B

C

D

D

14th

95

American Heritage Broward

Krishang Thakkar

C

C

D

C

C

E

D

C

D

C

B

E

C

B

A

C

B

B

A

B

B

A

D

B

C

A

C

C

D

E

Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

15th

89

American Heritage Broward

Anthony Rodriguez

C

C

D

C

C

E

D

A

C

B

A

C

E

A

C

B

A

A

B

B

D

D

D

A

C

E

16th

86

Scottsbluff High School

Josiah Bruner

B

C

D

A

B

D

C

E

A

C

C

B

B

A

B

B

D

A

C

17th

85

American Heritage Broward

Lance Stus

A

C

D

C

E

E

C

D

C

B

A

C

E

B

C

C

A

B

B

D

B

C

A

C

D

18th

82

Dunbar High School

Sanjay Somavaram

C

C

C

C

B

C

B

C

B

A

C

E

A

C

B

A

B

B

D

D

D

B

D

19th

81

Vestavia Hills High School

Ryaan Singh

C

B

E

D

C

C

C

E

A

E

B

A

C

C

A

B

B

A

D

D

C

A

C

D

20th

74

Orlando Science Schools

Gabriel Chen

D

C

D

C

C

C

B

A

C

A

C

A

E

B

D

E

D

E

A

E

C

21st

69

Memphis University School

Henry Phan

C

C

E

C

D

C

B

E

D

A

C

A

A

B

B

E

D

E

C

A

D

22nd

69

American Heritage Palm Beach

Rodion Grinchak

D

D

C

E

B

C

D

C

B

A

C

A

C

E

B

B

B

B

A

D

E

23rd

63

Thomas Jefferson High School

Viktors Vitolins-Delhomme

E

C

B

C

C

C

A

B

E

B

D

B

B

D

D

D

A

24th

63

Doral Academy

Shalina Liu

C

B

C

D

D

C

C

B

A

C

A

C

E

B

B

B

B

25th

61

Kamehameha Schools

Kaleb Abella

B

C

A

C

B

B

B

B

D

A

C

B

B

A

D

D

A

A

C

26th

60

Scottsbluff High School

Parker Marlow

A

A

C

B

C

B

B

B

D

C

27th

56

Thomas Jefferson High School

Ngan Doan

A

C

E

C

C

C

C

E

D

C

A

C

E

B

C

D

D

B

B

28th

50

Skyview High School

Joshua Butler

A

D

C

C

C

C

A

A

D

D

A

A

B

C

C

B

B

C

A

A

B

D

D

D

C

B

A

C

B

C

Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

29th

50

Alabama School of Fine Arts

Michael Mazur

A

A

C

E

D

C

D

B

C

C

B

C

C

D

A

D

C

E

D

B

B

C

B

C

E

B

D

E

A

E

30th

44

Thomas Jefferson High School

Alan Ho

B

C

D

A

E

A

C

C

B

A

E

C

E

C

C

C

C

A

B

A

A

31st

44

Alabama School of Fine Arts

Omri Hyde

A

A

C

B

C

A

E

A

E

D

B

B

D

D

A

B

32nd

43

Gainesville High School

Xinran You

C

C

E

A

C

B

C

A

E

E

D

B

C

D

D

A

A

33rd

43

Vestavia Hills High School

Lily Xie

D

C

C

D

B

A

B

C

B

A

E

A

C

C

B

C

E

C

A

B

A

D

34th

41

Kamehameha Schools

Riley Mochizuki

D

D

C

C

C

D

B

A

C

E

B

D

A

A

35th

39

Gainesville High School

Govardhan Kandru

C

C

C

C

D

B

A

D

B

C

C

C

B

E

D

C

B

B

E

C

B

36th

36

Cookeville High School

Emma Stevens

C

C

B

A

D

C

D

B

E

37th

35

Scottsbluff High School

Natalie Larsen

A

A

E

B

D

A

A

B

D

A

38th

31

Gainesville High School

Jiwu Kim

D

A

A

D

D

B

C

D

B

39th

28

Marion High School

Axel Ortiz Juarez

A

E

D

A

C

A

B

A

D

D

B

C

C

C

E

B

D

D

C

B

B

A

40th

27

Scottsbluff High School

Patrick Vasquez

A

D

D

A

B

E

B

B

A

B

A

C

B

D

A

C

B

A