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

MEAN SCORE: 66.852     STANDARD DEVIATION: 31.255     MEDIAN SCORE: 63

Average number of questions left blank:	9.6
Average number of questions answered incorrectly:	8.9
Average number of questions answered correctly:	11.4

Question #1:     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%	14.8%	0.0%	7.4%	66.7%		11.1%	22.2%	66.7%
Number of students (out of 27)	0	4	0	2	18		3	6	18

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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	11.1%	33.3%	14.8%	22.2%	7.4%		11.1%	55.6%	33.3%
Number of students (out of 27)	3	9	4	6	2		3	15	9

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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	55.6%	7.4%	7.4%	0.0%	7.4%		22.2%	22.2%	55.6%
Number of students (out of 27)	15	2	2	0	2		6	6	15

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Question #4:     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	7.4%	18.5%	11.1%	3.7%	7.4%		51.9%	29.6%	18.5%
Number of students (out of 27)	2	5	3	1	2		14	8	5

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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	11.1%	3.7%	22.2%	18.5%	3.7%		40.7%	40.7%	18.5%
Number of students (out of 27)	3	1	6	5	1		11	11	5

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Question #6:     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	7.4%	3.7%	3.7%	70.4%	7.4%		7.4%	22.2%	70.4%
Number of students (out of 27)	2	1	1	19	2		2	6	19

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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	25.9%	14.8%	7.4%	40.7%	7.4%		3.7%	55.6%	40.7%
Number of students (out of 27)	7	4	2	11	2		1	15	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	14.8%	3.7%	40.7%	7.4%	0.0%		33.3%	25.9%	40.7%
Number of students (out of 27)	4	1	11	2	0		9	7	11

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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	3.7%	14.8%	7.4%	33.3%	0.0%		40.7%	25.9%	33.3%
Number of students (out of 27)	1	4	2	9	0		11	7	9

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Question #10:     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	18.5%	7.4%	11.1%	29.6%	0.0%		33.3%	37.0%	29.6%
Number of students (out of 27)	5	2	3	8	0		9	10	8

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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	7.4%	63.0%	29.6%	0.0%	0.0%		0.0%	37.0%	63.0%
Number of students (out of 27)	2	17	8	0	0		0	10	17

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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	7.4%	77.8%	3.7%	0.0%	0.0%		11.1%	11.1%	77.8%
Number of students (out of 27)	2	21	1	0	0		3	3	21

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Question #13:     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	40.7%	40.7%	3.7%	3.7%	0.0%		11.1%	48.1%	40.7%
Number of students (out of 27)	11	11	1	1	0		3	13	11

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Question #14:     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	7.4%	14.8%	7.4%	3.7%	0.0%		66.7%	18.5%	14.8%
Number of students (out of 27)	2	4	2	1	0		18	5	4

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Question #15:     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	3.7%	11.1%	11.1%	14.8%	0.0%		59.3%	25.9%	14.8%
Number of students (out of 27)	1	3	3	4	0		16	7	4

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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%	3.7%	14.8%	11.1%	0.0%		70.4%	14.8%	14.8%
Number of students (out of 27)	0	1	4	3	0		19	4	4

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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	7.4%	63.0%	0.0%	0.0%	11.1%		18.5%	18.5%	63.0%
Number of students (out of 27)	2	17	0	0	3		5	5	17

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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	29.6%	18.5%	22.2%	0.0%	11.1%		18.5%	51.9%	29.6%
Number of students (out of 27)	8	5	6	0	3		5	14	8

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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	14.8%	33.3%	3.7%	0.0%	7.4%		40.7%	25.9%	33.3%
Number of students (out of 27)	4	9	1	0	2		11	7	9

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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	3.7%	14.8%	14.8%	18.5%	0.0%		48.1%	37.0%	14.8%
Number of students (out of 27)	1	4	4	5	0		13	10	4

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Question #21:     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	3.7%	29.6%	18.5%	25.9%	0.0%		22.2%	59.3%	18.5%
Number of students (out of 27)	1	8	5	7	0		6	16	5

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Question #22:     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	59.3%	29.6%	7.4%	3.7%	0.0%		0.0%	40.7%	59.3%
Number of students (out of 27)	16	8	2	1	0		0	11	16

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Question #23:     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	59.3%	3.7%	0.0%	0.0%	0.0%		37.0%	3.7%	59.3%
Number of students (out of 27)	16	1	0	0	0		10	1	16

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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	33.3%	3.7%	11.1%	7.4%	3.7%		40.7%	25.9%	33.3%
Number of students (out of 27)	9	1	3	2	1		11	7	9

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Question #25:     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%	3.7%	14.8%	14.8%	3.7%		63.0%	22.2%	14.8%
Number of students (out of 27)	0	1	4	4	1		17	6	4

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Question #26:     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	3.7%	18.5%	25.9%	0.0%	3.7%		48.1%	25.9%	25.9%
Number of students (out of 27)	1	5	7	0	1		13	7	7

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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	3.7%	3.7%	66.7%	7.4%	3.7%		14.8%	18.5%	66.7%
Number of students (out of 27)	1	1	18	2	1		4	5	18

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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	0.0%	3.7%	22.2%	11.1%	7.4%		55.6%	22.2%	22.2%
Number of students (out of 27)	0	1	6	3	2		15	6	6

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Question #29:     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	18.5%	7.4%	7.4%	11.1%	0.0%		55.6%	25.9%	18.5%
Number of students (out of 27)	5	2	2	3	0		15	7	5

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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	3.7%	51.9%	11.1%	3.7%	3.7%		25.9%	22.2%	51.9%
Number of students (out of 27)	1	14	3	1	1		7	6	14

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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

145

American Heritage Broward

Xuzhou Ren

E

B

A

B

C

D

D

C

D

D

B

B

A

B

D

C

B

A

B

C

C

A

A

A

D

C

C

C

A

B

2nd

131

Buchholz High School

Michael Wei

E

B

A

D

D

D

C

D

A

B

B

A

A

D

C

B

E

B

C

C

A

A

A

D

C

C

C

A

B

3rd

120

American Heritage Palm Beach

Julius Kulla

E

B

A

C

D

D

D

C

D

D

B

B

A

B

C

C

B

A

E

C

D

A

A

A

C

B

C

C

A

B

4th

102

Buchholz High School

Bryan Zheng

E

C

A

D

D

C

D

D

B

B

A

B

B

B

E

B

C

A

A

C

E

A

B

5th

96

Buchholz High School

Warren Craft

E

B

A

A

A

D

D

C

D

B

B

A

B

A

B

B

B

A

A

C

C

C

D

E

6th

83

Brentwood High School

Katherine Perez

D

D

D

D

B

C

D

B

B

A

D

B

A

B

D

D

A

A

D

C

C

A

7th

76

American Heritage Broward

Rajam Arunprakash

E

B

A

B

E

D

D

B

A

B

A

C

B

A

B

A

A

E

D

C

C

C

D

C

8th

76

American Heritage Palm Beach

Siyuan Du

E

B

A

D

B

C

D

B

B

A

B

E

C

A

A

A

C

B

D

9th

74

American Heritage Broward

Rishitha Marri

E

E

A

D

D

D

C

B

B

E

B

B

A

A

C

B

10th

71

Kamehameha Schools

Avery Nakata

E

E

A

D

B

C

A

D

B

B

B

B

B

C

D

A

A

C

B

11th

70

Community School of Naples

Wesley Atterbury

E

B

A

E

D

D

A

A

B

C

A

B

A

D

B

C

E

A

A

C

A

C

A

C

C

C

C

D

B

B

12th

66

Alabama School of Fine Arts

David Wang

E

B

C

B

D

E

C

D

A

B

C

B

B

B

B

A

A

A

B

13th

64

American Heritage Palm Beach

Alyssa Jin

E

B

A

D

A

D

E

C

A

B

B

A

B

D

A

E

14th

63

American Heritage Broward

Akshay Kumar

E

C

A

C

B

D

B

D

B

B

B

C

B

A

D

D

B

A

D

A

C

B

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

59

Orlando Science Schools

Akash Athi Kesavan

D

C

A

C

D

D

B

D

C

C

B

B

B

A

B

B

B

B

A

A

C

B

C

D

C

C

16th

52

Vestavia Hills High School

Daniel Yuan

E

B

C

D

C

D

B

B

A

E

B

D

B

A

B

C

A

B

17th

51

Orlando Science Schools

Zachary Parekattil

E

A

B

B

D

D

A

C

A

B

B

A

C

B

18th

50

Thomas Jefferson High School

Evan Hanemann

E

D

C

C

D

B

D

B

A

B

D

B

B

A

D

A

B

C

D

B

19th

48

Kamehameha Schools

Landen Aponte

E

D

E

E

A

C

D

A

B

B

C

B

B

C

C

D

B

B

B

D

C

A

A

E

D

B

B

20th

48

Thomas Jefferson High School

Titus Kim

B

D

E

A

C

D

C

B

B

A

B

B

C

B

C

E

B

21st

46

Thomas Jefferson High School

Noah Lee

E

C

A

C

B

B

B

B

B

D

B

B

D

C

22nd

44

Marion High School

Caleb Huff

B

A

B

A

C

A

A

D

C

B

A

D

D

B

A

A

B

A

C

C

D

23rd

37

Scottsbluff High School

Harrison Maser

B

D

A

D

A

A

B

B

B

A

C

C

B

B

A

B

A

C

24th

36

Kamehameha Schools

Mackenzy Beppu

A

C

D

A

C

A

B

C

A

25th

35

Dunbar High School

Nathaniel Caves

B

D

E

C

B

E

A

A

C

D

C

B

A

B

C

D

E

B

A

B

D

C

A

C

B

C

D

E

C

B

26th

34

Dunbar High School

Esteban Aguinaga

C

B

C

B

D

C

27th

28

Thomas Jefferson High School

Erin Bae

A

A

C

B

C

B

B