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

MEAN SCORE: 85.132     STANDARD DEVIATION: 27.489     MEDIAN SCORE: 87

Average number of questions left blank:	7.9
Average number of questions answered incorrectly:	6.7
Average number of questions answered correctly:	15.4

Question #1:     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	84.2%	5.3%	7.9%	0.0%	2.6%		0.0%	15.8%	84.2%
Number of students (out of 38)	32	2	3	0	1		0	6	32

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Question #2:     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	2.6%	5.3%	5.3%	81.6%	5.3%		0.0%	18.4%	81.6%
Number of students (out of 38)	1	2	2	31	2		0	7	31

---

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	0.0%	78.9%	2.6%	5.3%	0.0%		13.2%	7.9%	78.9%
Number of students (out of 38)	0	30	1	2	0		5	3	30

---

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	7.9%	2.6%	84.2%	5.3%	0.0%		0.0%	15.8%	84.2%
Number of students (out of 38)	3	1	32	2	0		0	6	32

---

Question #5:     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%	86.8%	2.6%	0.0%	2.6%		7.9%	5.3%	86.8%
Number of students (out of 38)	0	33	1	0	1		3	2	33

---

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	0.0%	89.5%	2.6%	7.9%	0.0%		0.0%	10.5%	89.5%
Number of students (out of 38)	0	34	1	3	0		0	4	34

---

Question #7:     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	68.4%	13.2%	2.6%	7.9%	5.3%		2.6%	28.9%	68.4%
Number of students (out of 38)	26	5	1	3	2		1	11	26

---

Question #8:     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	13.2%	5.3%	13.2%	57.9%	0.0%		10.5%	31.6%	57.9%
Number of students (out of 38)	5	2	5	22	0		4	12	22

---

Question #9:     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	73.7%	2.6%	0.0%	5.3%	5.3%		13.2%	13.2%	73.7%
Number of students (out of 38)	28	1	0	2	2		5	5	28

---

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	2.6%	7.9%	65.8%	2.6%	7.9%		13.2%	21.1%	65.8%
Number of students (out of 38)	1	3	25	1	3		5	8	25

---

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	73.7%	15.8%	0.0%	2.6%	2.6%		5.3%	21.1%	73.7%
Number of students (out of 38)	28	6	0	1	1		2	8	28

---

Question #12:     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	2.6%	7.9%	10.5%	60.5%	2.6%		15.8%	23.7%	60.5%
Number of students (out of 38)	1	3	4	23	1		6	9	23

---

Question #13:     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	2.6%	63.2%	10.5%	0.0%	2.6%		21.1%	15.8%	63.2%
Number of students (out of 38)	1	24	4	0	1		8	6	24

---

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	21.1%	44.7%	10.5%	0.0%	2.6%		21.1%	34.2%	44.7%
Number of students (out of 38)	8	17	4	0	1		8	13	17

---

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	78.9%	10.5%	2.6%	2.6%	0.0%		5.3%	15.8%	78.9%
Number of students (out of 38)	30	4	1	1	0		2	6	30

---

Question #16:     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	5.3%	23.7%	7.9%	44.7%	2.6%		15.8%	39.5%	44.7%
Number of students (out of 38)	2	9	3	17	1		6	15	17

---

Question #17:     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	7.9%	2.6%	55.3%	0.0%	13.2%		21.1%	23.7%	55.3%
Number of students (out of 38)	3	1	21	0	5		8	9	21

---

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	10.5%	2.6%	26.3%	5.3%	0.0%		55.3%	18.4%	26.3%
Number of students (out of 38)	4	1	10	2	0		21	7	10

---

Question #19:     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%	15.8%	5.3%	18.4%	10.5%		50.0%	31.6%	18.4%
Number of students (out of 38)	0	6	2	7	4		19	12	7

---

Question #20:     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	5.3%	18.4%	2.6%	52.6%	7.9%		13.2%	34.2%	52.6%
Number of students (out of 38)	2	7	1	20	3		5	13	20

---

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	0.0%	7.9%	71.1%	0.0%	2.6%		18.4%	10.5%	71.1%
Number of students (out of 38)	0	3	27	0	1		7	4	27

---

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	0.0%	0.0%	60.5%	5.3%	0.0%		34.2%	5.3%	60.5%
Number of students (out of 38)	0	0	23	2	0		13	2	23

---

Question #23:     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	5.3%	26.3%	2.6%	10.5%	2.6%		52.6%	21.1%	26.3%
Number of students (out of 38)	2	10	1	4	1		20	8	10

---

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	2.6%	10.5%	10.5%	21.1%	2.6%		52.6%	26.3%	21.1%
Number of students (out of 38)	1	4	4	8	1		20	10	8

---

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	7.9%	13.2%	13.2%	5.3%	0.0%		60.5%	26.3%	13.2%
Number of students (out of 38)	3	5	5	2	0		23	10	5

---

Question #26:     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	15.8%	21.1%	5.3%	5.3%	0.0%		52.6%	26.3%	21.1%
Number of students (out of 38)	6	8	2	2	0		20	10	8

---

Question #27:     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	5.3%	10.5%	13.2%	10.5%	0.0%		60.5%	28.9%	10.5%
Number of students (out of 38)	2	4	5	4	0		23	11	4

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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	7.9%	2.6%	13.2%	7.9%	7.9%		60.5%	31.6%	7.9%
Number of students (out of 38)	3	1	5	3	3		23	12	3

---

Question #29:     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	7.9%	15.8%	7.9%	10.5%	2.6%		55.3%	28.9%	15.8%
Number of students (out of 38)	3	6	3	4	1		21	11	6

---

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	7.9%	5.3%	18.4%	10.5%	0.0%		57.9%	34.2%	7.9%
Number of students (out of 38)	3	2	7	4	0		22	13	3

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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

120

Berkeley Preparatory School

Aaron Xiong

A

D

B

C

B

B

A

D

A

C

A

D

B

B

A

A

C

D

C

C

D

B

B

B

C

2nd

119

American Heritage Broward

Rithvik Marri

A

D

B

C

B

B

A

D

A

C

A

D

B

B

A

C

C

D

C

C

D

D

B

B

C

C

3rd

117

American Heritage Broward

Nicholas Darosa

A

D

B

C

B

B

A

D

A

C

A

D

B

B

A

D

C

D

D

C

C

B

A

4th

116

American Heritage Broward

Alan Wu

A

D

B

C

B

B

A

D

A

C

A

D

B

B

A

C

C

D

C

C

B

A

B

A

5th

116

American Heritage Broward

William Li

A

D

B

C

B

D

A

D

A

C

A

D

B

B

A

D

C

C

D

D

C

C

B

B

A

B

C

D

D

6th

115

Alabama School of Fine Arts

Elias Mrug

A

D

B

A

B

B

A

D

A

C

A

D

B

B

B

C

C

C

D

D

C

C

D

B

D

7th

113

Buchholz High School

Andrey Nikitin

A

D

B

C

B

B

A

D

A

C

A

D

B

B

A

D

C

B

D

C

C

B

A

C

D

B

C

8th

113

Buchholz High School

Hailey Lin

A

D

B

C

B

B

A

D

A

C

A

D

B

E

A

D

C

C

D

C

C

D

9th

112

Buchholz High School

Ahan Mishra

A

D

B

C

B

B

A

D

E

E

B

D

B

B

A

D

C

A

D

D

C

C

B

D

B

E

E

A

10th

108

Buchholz High School

Katie He

A

B

B

C

B

B

A

D

A

C

A

D

B

B

A

E

C

D

D

C

C

B

11th

106

American Heritage Palm Beach

Jin Li

A

D

B

C

B

B

A

D

A

B

A

C

B

B

A

D

C

C

B

B

C

C

B

B

12th

105

American Heritage Palm Beach

Jesse Brodtman

A

D

B

C

B

B

A

D

A

C

A

D

B

C

A

D

E

D

D

B

C

C

D

D

C

B

D

E

A

C

13th

105

American Heritage Palm Beach

Ramez Ortiz

A

D

B

A

B

B

A

D

A

C

A

D

B

B

A

D

C

A

E

D

B

C

B

D

B

A

B

D

D

B

14th

100

American Heritage Palm Beach

Ethan Xu

A

D

B

C

B

B

A

D

A

C

A

D

B

C

A

D

C

C

C

D

C

C

C

C

C

C

C

C

C

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

15th

96

Vestavia Hills High School

Timothy Li

A

D

B

C

B

B

A

A

A

C

A

D

B

C

A

B

C

E

D

C

D

A

C

B

16th

95

Buchholz High School

Philip Matchev

A

D

B

C

B

B

A

A

A

C

E

D

B

B

A

D

C

E

D

C

17th

94

American Heritage Broward

Anik Bora

A

D

B

C

B

B

A

D

A

B

A

D

B

B

A

A

E

D

C

C

B

A

D

E

C

D

18th

90

American Heritage Broward

Vishakha Joshi

A

C

B

C

B

B

A

D

A

C

A

E

B

B

B

D

C

D

C

E

19th

88

Buchholz High School

Himal Bamzai-Wokhlu

A

D

B

C

B

B

D

A

A

C

A

C

B

B

B

D

C

E

D

C

C

A

20th

86

Lawton Chiles High School

Katharine Hsu

B

D

B

C

B

B

A

B

A

C

A

D

B

A

A

D

C

E

C

21st

85

Orlando Science Schools

Max Grabov

A

D

B

C

B

B

A

D

A

C

A

B

A

E

C

22nd

81

Alabama School of Fine Arts

Dmitriy Sazonov

A

D

B

C

B

B

E

A

A

C

A

D

E

B

A

D

A

B

C

23rd

80

Vestavia Hills High School

Aarya Aluri

A

D

B

A

B

B

A

D

A

D

B

B

B

B

C

C

A

D

D

C

C

B

C

C

D

24th

80

Scottsbluff High School

Wisley Mooc

A

E

D

C

B

B

A

B

A

C

B

D

C

A

A

B

C

D

B

B

C

C

A

C

B

C

D

A

B

C

25th

79

Alabama School of Fine Arts

Deepakkumar Sathishkumar

A

D

B

C

B

B

A

D

A

C

B

D

B

A

E

B

26th

76

Berkeley Preparatory School

Anuv Singh

A

D

B

C

E

B

A

A

E

C

A

C

A

A

A

C

C

C

C

C

C

B

C

C

D

C

A

D

B

27th

71

Windsor Charter Academy

Sean Holt

A

D

D

C

B

B

B

C

D

C

A

D

A

A

B

A

C

B

A

C

C

D

C

D

B

A

C

B

D

28th

70

Dunbar High School

Benjamin Hamilton

A

E

B

C

B

B

B

A

A

B

C

A

D

E

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

65

Windsor Charter Academy

Emmit Knutson

A

C

C

C

B

B

A

C

D

C

A

D

C

A

A

D

A

A

B

B

C

D

E

B

C

A

B

A

A

A

30th

60

Kamehameha Schools

Koa Chang

A

D

B

C

B

B

B

C

A

E

D

A

C

A

A

D

B

C

B

B

C

C

A

B

D

D

A

B

A

C

31st

60

American Heritage Broward

Rosa Wu

A

B

B

C

C

B

B

D

A

A

A

C

B

B

D

32nd

56

American Heritage Palm Beach

Samer Elhoushy

C

D

B

C

B

B

D

D

A

E

A

B

C

B

B

D

D

A

C

33rd

51

Thomas Jefferson High School

Julia Jung

B

D

C

B

A

D

B

A

B

34th

47

Dunbar High School

Christian Arriaga-Franco

C

D

B

C

B

B

E

C

B

B

B

C

A

B

C

E

E

D

B

B

C

D

D

35th

46

Marion High School

Nathaniel Aguila

A

A

C

D

D

C

C

A

B

A

B

A

B

C

36th

42

Thomas Jefferson High School

Reia Pablo

A

D

D

B

D

C

A

B

37th

37

Thomas Jefferson High School

Soo Han

E

D

D

B

B

A

B

B

38th

35

Community School of Naples

Suran Rao

C

D

B

C

B

A

D

A

D

E