REPORT FOR: Theta Combinatorics and Probability - Nationals 2023
(Jump to Results By Student)

MEAN SCORE: 84     STANDARD DEVIATION: 41.108     MEDIAN SCORE: 67.5

Average number of questions left blank:	8.8
Average number of questions answered incorrectly:	6.1
Average number of questions answered correctly:	15

Question #1:     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	14.3%	0.0%	85.7%	0.0%	0.0%		0.0%	14.3%	85.7%
Number of students (out of 28)	4	0	24	0	0		0	4	24

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Question #2:     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	3.6%	46.4%	0.0%	14.3%	0.0%		35.7%	17.9%	46.4%
Number of students (out of 28)	1	13	0	4	0		10	5	13

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Question #3:     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	60.7%	3.6%	7.1%	3.6%	0.0%		25.0%	14.3%	60.7%
Number of students (out of 28)	17	1	2	1	0		7	4	17

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Question #4:     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	3.6%	14.3%	7.1%	35.7%	0.0%		39.3%	25.0%	35.7%
Number of students (out of 28)	1	4	2	10	0		11	7	10

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Question #5:     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	39.3%	17.9%	28.6%	10.7%	0.0%		3.6%	57.1%	39.3%
Number of students (out of 28)	11	5	8	3	0		1	16	11

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Question #6:     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	3.6%	3.6%	0.0%	3.6%	50.0%		39.3%	10.7%	50.0%
Number of students (out of 28)	1	1	0	1	14		11	3	14

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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	14.3%	7.1%	0.0%	39.3%	3.6%		35.7%	25.0%	39.3%
Number of students (out of 28)	4	2	0	11	1		10	7	11

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Question #8:     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	10.7%	3.6%	71.4%	0.0%	0.0%		14.3%	14.3%	71.4%
Number of students (out of 28)	3	1	20	0	0		4	4	20

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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	0.0%	0.0%	0.0%	71.4%	10.7%		17.9%	10.7%	71.4%
Number of students (out of 28)	0	0	0	20	3		5	3	20

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Question #10:     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%	64.3%	10.7%	10.7%	0.0%		14.3%	21.4%	64.3%
Number of students (out of 28)	0	18	3	3	0		4	6	18

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Question #11:     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	75.0%	3.6%	7.1%	0.0%	3.6%		10.7%	14.3%	75.0%
Number of students (out of 28)	21	1	2	0	1		3	4	21

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Question #12:     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%	53.6%	7.1%	3.6%	0.0%		35.7%	10.7%	53.6%
Number of students (out of 28)	0	15	2	1	0		10	3	15

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Question #13:     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	0.0%	3.6%	3.6%	3.6%	53.6%		35.7%	10.7%	53.6%
Number of students (out of 28)	0	1	1	1	15		10	3	15

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Question #14:     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	25.0%	3.6%	3.6%	10.7%	0.0%		57.1%	17.9%	25.0%
Number of students (out of 28)	7	1	1	3	0		16	5	7

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Question #15:     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	17.9%	25.0%	10.7%	0.0%	0.0%		46.4%	28.6%	25.0%
Number of students (out of 28)	5	7	3	0	0		13	8	7

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Question #16:     Correct Answer: A or D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	10.7%	21.4%	3.6%	57.1%	3.6%		3.6%	28.6%	67.9%
Number of students (out of 28)	3	6	1	16	1		1	8	19

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Question #17:     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	53.6%	7.1%	3.6%	3.6%	0.0%		32.1%	14.3%	53.6%
Number of students (out of 28)	15	2	1	1	0		9	4	15

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Question #18:     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	3.6%	0.0%	64.3%	0.0%	14.3%		17.9%	17.9%	64.3%
Number of students (out of 28)	1	0	18	0	4		5	5	18

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Question #19:     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	3.6%	42.9%	3.6%	7.1%	0.0%		42.9%	14.3%	42.9%
Number of students (out of 28)	1	12	1	2	0		12	4	12

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Question #20:     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%	3.6%	60.7%	3.6%	3.6%		28.6%	10.7%	60.7%
Number of students (out of 28)	0	1	17	1	1		8	3	17

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Question #21:     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	32.1%	7.1%	14.3%	3.6%	10.7%		32.1%	35.7%	32.1%
Number of students (out of 28)	9	2	4	1	3		9	10	9

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Question #22:     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	3.6%	25.0%	3.6%	7.1%	0.0%		60.7%	14.3%	25.0%
Number of students (out of 28)	1	7	1	2	0		17	4	7

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Question #23:     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	3.6%	0.0%	17.9%	7.1%	32.1%		39.3%	28.6%	32.1%
Number of students (out of 28)	1	0	5	2	9		11	8	9

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Question #24:     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	57.1%	0.0%	0.0%	7.1%	3.6%		32.1%	10.7%	57.1%
Number of students (out of 28)	16	0	0	2	1		9	3	16

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Question #25:     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	7.1%	42.9%	3.6%	0.0%	10.7%		35.7%	21.4%	42.9%
Number of students (out of 28)	2	12	1	0	3		10	6	12

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Question #26:     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	3.6%	3.6%	3.6%	67.9%	3.6%		17.9%	14.3%	67.9%
Number of students (out of 28)	1	1	1	19	1		5	4	19

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Question #27:     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	14.3%	32.1%	7.1%	0.0%	0.0%		46.4%	21.4%	32.1%
Number of students (out of 28)	4	9	2	0	0		13	6	9

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Question #28:     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	32.1%	7.1%	3.6%	3.6%	3.6%		50.0%	17.9%	32.1%
Number of students (out of 28)	9	2	1	1	1		14	5	9

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Question #29:     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	3.6%	10.7%	60.7%	0.0%	10.7%		14.3%	25.0%	60.7%
Number of students (out of 28)	1	3	17	0	3		4	7	17

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Question #30:     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	35.7%	3.6%	32.1%	3.6%	7.1%		17.9%	46.4%	35.7%
Number of students (out of 28)	10	1	9	1	2		5	13	10

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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

150

Buchholz High School

Caleb Wang

C

B

A

D

A

E

D

C

D

B

A

B

E

A

B

A

A

C

B

C

A

B

E

A

B

D

B

A

C

A

1st

150

Vestavia Hills High School

Tina Gao

C

B

A

D

A

E

D

C

D

B

A

B

E

A

B

D

A

C

B

C

A

B

E

A

B

D

B

A

C

A

1st

150

Buchholz High School

Saber Lian

C

B

A

D

A

E

D

C

D

B

A

B

E

A

B

A

A

C

B

C

A

B

E

A

B

D

B

A

C

A

4th

130

Thomas Jefferson High School

Sanchit Sharma

C

B

A

D

A

E

D

C

D

B

E

B

E

D

B

D

A

C

B

C

A

B

C

A

B

D

B

B

C

A

5th

130

American Heritage Broward

Jason Tang

C

B

A

D

A

E

B

C

D

B

A

B

E

B

A

D

A

C

B

C

A

B

E

A

B

D

B

A

C

C

6th

124

Buchholz High School

Emily Lu

C

B

A

A

E

D

C

D

B

A

B

E

B

D

A

C

B

C

C

A

B

D

A

A

C

A

7th

121

Vestavia Hills High School

Ishaan Garg

C

B

A

B

B

E

D

C

D

B

A

B

E

A

A

D

A

C

B

C

C

E

A

E

D

B

A

C

A

8th

118

American Heritage Broward

Pranav Rai

C

B

A

D

B

E

D

C

D

B

A

B

B

D

A

C

B

C

A

D

C

A

B

D

B

C

E

9th

116

American Heritage Palm Beach

Sonya Singh

C

B

A

D

A

E

C

D

B

A

B

E

B

A

C

B

C

E

A

D

B

A

C

C

10th

114

American Heritage Broward

Zayn Charania

C

B

A

D

A

E

D

C

E

B

A

B

E

B

A

C

B

C

E

E

A

B

D

B

C

C

11th

114

Orlando Science Schools

Ismail Akdeniz

A

B

A

D

B

E

D

C

D

B

A

E

A

A

D

A

C

B

C

A

E

A

D

A

C

C

12th

100

American Heritage Broward

Aniket Shukla

C

A

A

B

B

E

D

C

D

B

A

B

E

A

A

D

A

C

B

C

A

D

A

D

B

A

C

B

C

A

13th

74

American Heritage Broward

Alina Sukhovskaya

C

D

A

B

E

C

D

C

A

E

D

A

C

B

B

E

A

D

A

B

C

14th

68

Community School of Naples

Mimi Goldberg

C

C

E

A

C

D

B

A

B

B

B

C

E

D

E

C

A

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

67

American Heritage Palm Beach

Ken Liu

C

A

A

D

B

A

B

E

E

A

E

D

A

16th

65

American Heritage Palm Beach

David Zapata

C

D

A

C

A

A

E

C

D

D

A

B

C

A

C

B

A

C

D

E

D

A

C

A

A

D

A

D

C

C

17th

63

American Heritage Palm Beach

Shengwu Luo

C

A

B

C

D

A

E

D

A

C

D

E

18th

55

Thomas Jefferson High School

Nathalie Wales

C

B

A

A

D

C

A

E

E

C

19th

53

Gainesville High School

Kathryn Law

C

A

D

C

D

D

C

20th

52

Dunbar High School

Finlay Schofield

C

B

C

C

E

B

A

B

B

A

E

C

D

21st

52

Baton Rouge Magnet High School

Joel John

A

D

A

D

C

D

C

D

A

C

D

D

C

D

C

C

E

D

D

B

D

B

E

22nd

48

Scottsbluff High School

Logan Polk

C

C

C

A

D

B

C

D

C

C

B

C

B

C

A

E

B

23rd

47

Alabama School of Fine Arts

Clark Baty

C

D

B

D

B

A

B

C

A

C

C

A

D

24th

46

Marion High School

Chayim Hofmann

A

C

B

A

D

E

C

D

C

25th

45

Kamehameha Schools

Chace Nakamura

C

D

C

B

D

D

A

A

D

C

B

C

B

D

A

D

B

E

C

C

A

B

D

A

B

B

C

C

C

C

26th

43

Thomas Jefferson High School

Alan Ho

C

B

D

A

C

B

A

C

E

C

C

D

E

C

A

D

E

D

D

C

B

E

C

E

A

A

A

27th

29

Thomas Jefferson High School

Ngan Ly

C

C

C

D

C

B

28th

28

Scottsbluff High School

River Baily-Nolde

A

B

C

A

C

B

C