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

MEAN SCORE: 84.891     STANDARD DEVIATION: 32.333     MEDIAN SCORE: 79

Average number of questions left blank:	8
Average number of questions answered incorrectly:	6.6
Average number of questions answered correctly:	15.4

Question #1:     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%	2.2%	87.0%	4.3%		6.5%	6.5%	87.0%
Number of students (out of 46)	0	0	1	40	2		3	3	40

---

Question #2:     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	6.5%	4.3%	60.9%	0.0%	4.3%		23.9%	15.2%	60.9%
Number of students (out of 46)	3	2	28	0	2		11	7	28

---

Question #3:     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	21.7%	8.7%	56.5%	6.5%	2.2%		4.3%	39.1%	56.5%
Number of students (out of 46)	10	4	26	3	1		2	18	26

---

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	28.3%	2.2%	32.6%	2.2%	4.3%		30.4%	37.0%	32.6%
Number of students (out of 46)	13	1	15	1	2		14	17	15

---

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	10.9%	58.7%	13.0%	4.3%	6.5%		6.5%	34.8%	58.7%
Number of students (out of 46)	5	27	6	2	3		3	16	27

---

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	2.2%	6.5%	8.7%	60.9%	4.3%		17.4%	21.7%	60.9%
Number of students (out of 46)	1	3	4	28	2		8	10	28

---

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	58.7%	4.3%	10.9%	4.3%	8.7%		13.0%	28.3%	58.7%
Number of students (out of 46)	27	2	5	2	4		6	13	27

---

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	0.0%	10.9%	50.0%	4.3%	6.5%		28.3%	21.7%	50.0%
Number of students (out of 46)	0	5	23	2	3		13	10	23

---

Question #9:     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	6.5%	4.3%	23.9%	4.3%	0.0%		60.9%	15.2%	23.9%
Number of students (out of 46)	3	2	11	2	0		28	7	11

---

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	10.9%	82.6%	4.3%	2.2%	0.0%		0.0%	17.4%	82.6%
Number of students (out of 46)	5	38	2	1	0		0	8	38

---

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	4.3%	80.4%	4.3%	6.5%	0.0%		4.3%	15.2%	80.4%
Number of students (out of 46)	2	37	2	3	0		2	7	37

---

Question #12:     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	13.0%	4.3%	56.5%	8.7%	2.2%		15.2%	28.3%	56.5%
Number of students (out of 46)	6	2	26	4	1		7	13	26

---

Question #13:     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	4.3%	10.9%	4.3%	34.8%	0.0%		45.7%	19.6%	34.8%
Number of students (out of 46)	2	5	2	16	0		21	9	16

---

Question #14:     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	2.2%	2.2%	8.7%	69.6%	0.0%		17.4%	13.0%	69.6%
Number of students (out of 46)	1	1	4	32	0		8	6	32

---

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	76.1%	4.3%	2.2%	2.2%	2.2%		13.0%	10.9%	76.1%
Number of students (out of 46)	35	2	1	1	1		6	5	35

---

Question #16:     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%	0.0%	8.7%	13.0%	52.2%		26.1%	21.7%	52.2%
Number of students (out of 46)	0	0	4	6	24		12	10	24

---

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	50.0%	6.5%	10.9%	19.6%	0.0%		13.0%	37.0%	50.0%
Number of students (out of 46)	23	3	5	9	0		6	17	23

---

Question #18:     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	2.2%	63.0%	8.7%	2.2%	0.0%		23.9%	13.0%	63.0%
Number of students (out of 46)	1	29	4	1	0		11	6	29

---

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	13.0%	6.5%	10.9%	30.4%	0.0%		39.1%	30.4%	30.4%
Number of students (out of 46)	6	3	5	14	0		18	14	14

---

Question #20:     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	21.7%	10.9%	6.5%	6.5%	4.3%		50.0%	28.3%	21.7%
Number of students (out of 46)	10	5	3	3	2		23	13	10

---

Question #21:     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	4.3%	4.3%	2.2%	71.7%	0.0%		17.4%	10.9%	71.7%
Number of students (out of 46)	2	2	1	33	0		8	5	33

---

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	4.3%	52.2%	10.9%	6.5%	0.0%		26.1%	21.7%	52.2%
Number of students (out of 46)	2	24	5	3	0		12	10	24

---

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	2.2%	32.6%	8.7%	2.2%	2.2%		52.2%	15.2%	32.6%
Number of students (out of 46)	1	15	4	1	1		24	7	15

---

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	45.7%	10.9%	4.3%	0.0%	0.0%		39.1%	15.2%	45.7%
Number of students (out of 46)	21	5	2	0	0		18	7	21

---

Question #25:     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	28.3%	4.3%	2.2%	2.2%	4.3%		58.7%	13.0%	28.3%
Number of students (out of 46)	13	2	1	1	2		27	6	13

---

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	2.2%	34.8%	8.7%	8.7%	4.3%		41.3%	23.9%	34.8%
Number of students (out of 46)	1	16	4	4	2		19	11	16

---

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	6.5%	6.5%	60.9%	0.0%	2.2%		23.9%	15.2%	60.9%
Number of students (out of 46)	3	3	28	0	1		11	7	28

---

Question #28:     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	4.3%	30.4%	4.3%	6.5%	2.2%		52.2%	17.4%	30.4%
Number of students (out of 46)	2	14	2	3	1		24	8	14

---

Question #29:     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	2.2%	13.0%	19.6%	8.7%	6.5%		50.0%	43.5%	6.5%
Number of students (out of 46)	1	6	9	4	3		23	20	3

---

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	67.4%	23.9%	2.2%	0.0%	2.2%		4.3%	28.3%	67.4%
Number of students (out of 46)	31	11	1	0	1		2	13	31

---

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

146

Buchholz High School

Katie He

D

C

C

C

B

D

A

C

C

B

B

C

D

D

A

E

A

B

D

A

D

B

B

A

A

B

C

B

A

2nd

140

American Heritage Palm Beach

Julius Kulla

D

C

C

C

B

D

A

C

C

B

B

C

D

D

A

E

A

B

C

D

D

B

B

A

A

B

C

B

E

A

3rd

137

Buchholz High School

Michael Wei

D

C

C

C

B

D

A

C

C

B

B

A

D

D

A

E

A

B

D

A

D

B

A

A

B

C

B

A

4th

137

Buchholz High School

Will Guan

D

C

C

E

B

D

A

C

C

B

B

C

D

D

A

E

B

D

A

D

B

B

A

A

B

C

B

A

5th

123

American Heritage Broward

Timothy Kong

D

C

C

C

B

D

C

C

B

B

C

D

D

A

E

A

B

B

D

B

B

A

A

C

B

D

A

6th

123

Buchholz High School

Hailey Lin

D

C

C

C

B

C

A

C

C

B

B

C

D

D

A

E

A

B

D

A

D

C

A

D

C

B

A

7th

123

American Heritage Broward

Nicholas Darosa

D

C

C

E

B

D

A

C

C

B

B

C

D

D

A

E

A

B

D

D

B

A

A

B

B

D

A

8th

116

American Heritage Palm Beach

Ramez Ortiz

D

C

C

C

B

D

A

C

C

B

B

C

D

D

A

E

B

B

A

A

D

B

C

A

D

B

B

C

A

9th

116

Buchholz High School

Adrian Palamarev

D

C

A

C

B

D

A

C

C

B

B

C

D

D

A

E

A

B

D

A

D

D

B

A

C

C

B

D

B

10th

112

American Heritage Palm Beach

Siyuan Du

D

C

C

B

D

A

B

B

C

D

A

E

D

B

D

A

D

B

A

E

B

C

A

11th

112

American Heritage Palm Beach

Ethan Xu

D

C

C

A

B

C

A

C

B

B

C

D

A

E

A

B

D

D

B

B

A

C

A

12th

110

American Heritage Broward

William Li

D

E

C

A

A

D

E

C

C

B

B

C

B

D

A

E

A

B

D

B

D

B

B

A

A

B

C

E

C

A

13th

108

Vestavia Hills High School

Carol Li

D

C

C

A

B

D

A

B

B

B

C

D

D

A

D

A

B

C

D

B

B

A

A

E

C

B

A

14th

106

Buchholz High School

Eileen Lai

D

C

A

A

B

D

A

B

B

A

D

D

A

E

D

B

D

D

B

B

A

C

B

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

105

American Heritage Broward

Aaron Zhang

D

C

C

A

B

D

A

E

B

B

B

C

B

D

A

E

A

B

B

B

D

B

B

B

B

B

C

B

B

A

16th

105

Memphis University School

Bryan Ding

D

C

A

A

B

D

A

E

A

B

B

C

D

D

A

E

A

B

B

E

D

B

B

A

E

E

C

D

E

A

17th

102

Buchholz High School

Warren Craft

D

C

D

C

C

D

A

C

B

B

D

A

D

A

D

A

B

B

A

D

B

B

A

A

C

B

C

E

18th

96

Memphis University School

Dannie Dong

D

C

A

B

D

A

B

B

D

A

D

B

D

D

B

A

B

C

A

19th

95

Alabama School of Fine Arts

Albert Chen

D

C

D

C

B

D

A

C

B

B

A

D

A

B

D

B

B

A

C

B

20th

91

American Heritage Broward

Rithvik Marri

D

A

A

C

E

A

C

C

B

B

C

C

A

E

A

B

A

D

B

B

C

C

B

A

21st

90

American Heritage Palm Beach

Jesse Brodtman

D

A

A

C

B

D

A

C

C

B

B

A

C

D

A

E

A

C

C

D

D

B

C

C

C

C

C

B

C

A

22nd

83

American Heritage Broward

Rajam Arunprakash

D

C

C

A

D

D

E

E

B

D

C

D

A

E

A

B

D

D

A

A

B

A

23rd

79

Vestavia Hills High School

Daniel Yuan

D

C

C

A

B

A

D

B

B

C

D

E

D

D

B

A

24th

79

Thomas Jefferson High School

Jenny Luong

D

C

B

D

B

B

C

A

E

A

B

D

B

B

C

A

25th

79

Doral Academy

Gustavo Diaz

D

D

A

E

D

E

C

B

D

C

D

E

C

B

D

B

D

A

B

C

A

26th

77

American Heritage Broward

Lila Cohen

D

C

C

A

E

D

A

C

B

B

C

D

A

C

D

D

A

A

27th

77

Orlando Science Schools

Akash Athi Kesavan

D

C

A

A

D

A

B

B

E

A

E

B

D

B

B

C

C

B

28th

75

Dunbar High School

Christian Arriaga-Franco

D

A

B

D

C

B

D

A

E

A

D

D

B

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

29th

74

Gainesville High School

Charlotte Shea

D

E

B

D

E

B

B

C

D

A

B

C

D

C

C

A

30th

70

Kamehameha Schools

Travis Kuo

D

E

C

C

B

D

C

B

A

A

B

C

A

D

B

D

A

A

A

A

D

C

A

A

A

A

A

A

A

A

31st

70

Doral Academy

Nikolai Morozov

E

C

A

D

B

C

A

D

A

B

C

B

D

C

A

D

A

C

D

B

D

C

B

A

A

D

C

C

B

A

32nd

61

Cypress Bay High School

Alex Frias

D

C

B

A

C

B

D

A

C

B

C

A

E

A

33rd

58

Memphis University School

Albert Ding

D

C

C

C

D

A

B

D

C

B

C

B

D

A

C

D

B

C

C

C

C

C

C

D

C

C

B

34th

58

Alabama School of Fine Arts

Nicole Sazonov

D

A

E

C

C

B

B

A

D

D

A

B

A

E

C

D

B

35th

56

Vestavia Hills High School

Parker Liu

D

C

C

C

B

D

A

B

A

B

B

D

C

B

36th

56

Scottsbluff High School

Harrison Maser

D

B

C

A

B

C

B

B

C

A

D

D

D

B

37th

55

American Heritage Palm Beach

Samer Elhoushy

D

C

C

B

A

D

A

B

B

B

A

D

B

B

A

D

D

B

A

C

B

B

B

B

B

B

E

D

B

B

38th

53

Skyview High School

Brian Yu

E

C

C

A

B

C

A

B

C

D

C

B

39th

51

Marion High School

Nathaniel Aguila

D

C

C

E

A

B

C

C

C

A

C

C

D

B

E

C

C

C

B

40th

50

Scottsbluff High School

Wisley Mooc

D

C

B

C

B

B

A

C

D

A

B

D

D

C

D

C

B

C

A

D

A

C

C

B

A

B

A

D

B

C

41st

49

Grissom High School

Ann Gibbons

B

C

B

C

B

B

C

D

D

B

A

42nd

47

Scottsbluff High School

Allison Clodfelter

C

B

B

B

D

E

A

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

43rd

44

Scottsbluff High School

Dillon Archbold

A

A

B

B

A

A

44th

42

Millennium 6-12 Collegiate Academy

Emma Jacobsen

D

C

B

D

A

A

C

A

45th

36

Baton Rouge Magnet High School

Henry Chen

C

C

B

D

B

D

C

D

C

A

B

D

A

C

B

B

D

B

B

46th

33

Thomas Jefferson High School

Noah Lee

D

B

A

C

A

C

C

A

D

B

E

A

A

A

B

D

B