REPORT FOR: Mu Sequences and Series - Nationals 2023
(Jump to Results By Student)

MEAN SCORE: 76.136     STANDARD DEVIATION: 33.169     MEDIAN SCORE: 76

Average number of questions left blank:	8.8
Average number of questions answered incorrectly:	7.8
Average number of questions answered correctly:	13.5

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	0.0%	45.5%	4.5%	9.1%	2.3%		38.6%	15.9%	45.5%
Number of students (out of 44)	0	20	2	4	1		17	7	20

---

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	0.0%	90.9%	0.0%	2.3%	2.3%		4.5%	4.5%	90.9%
Number of students (out of 44)	0	40	0	1	1		2	2	40

---

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	2.3%	61.4%	9.1%	2.3%	15.9%		9.1%	29.5%	61.4%
Number of students (out of 44)	1	27	4	1	7		4	13	27

---

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	4.5%	11.4%	31.8%	13.6%	4.5%		34.1%	34.1%	31.8%
Number of students (out of 44)	2	5	14	6	2		15	15	14

---

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	2.3%	6.8%	13.6%	54.5%	0.0%		22.7%	22.7%	54.5%
Number of students (out of 44)	1	3	6	24	0		10	10	24

---

Question #6:     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	25.0%	0.0%	70.5%	2.3%	0.0%		2.3%	27.3%	70.5%
Number of students (out of 44)	11	0	31	1	0		1	12	31

---

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	0.0%	0.0%	4.5%	79.5%	4.5%		11.4%	9.1%	79.5%
Number of students (out of 44)	0	0	2	35	2		5	4	35

---

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	2.3%	9.1%	31.8%	9.1%	4.5%		43.2%	25.0%	31.8%
Number of students (out of 44)	1	4	14	4	2		19	11	14

---

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	56.8%	6.8%	6.8%	9.1%	2.3%		18.2%	25.0%	56.8%
Number of students (out of 44)	25	3	3	4	1		8	11	25

---

Question #10:     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	18.2%	18.2%	6.8%	4.5%	18.2%		34.1%	47.7%	18.2%
Number of students (out of 44)	8	8	3	2	8		15	21	8

---

Question #11:     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	15.9%	13.6%	0.0%	63.6%	0.0%		6.8%	29.5%	63.6%
Number of students (out of 44)	7	6	0	28	0		3	13	28

---

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	79.5%	9.1%	4.5%	0.0%	0.0%		6.8%	13.6%	79.5%
Number of students (out of 44)	35	4	2	0	0		3	6	35

---

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	38.6%	9.1%	9.1%	6.8%	2.3%		34.1%	27.3%	38.6%
Number of students (out of 44)	17	4	4	3	1		15	12	17

---

Question #14:     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	6.8%	11.4%	18.2%	6.8%	0.0%		56.8%	25.0%	18.2%
Number of students (out of 44)	3	5	8	3	0		25	11	8

---

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	0.0%	2.3%	2.3%	77.3%	4.5%		13.6%	9.1%	77.3%
Number of students (out of 44)	0	1	1	34	2		6	4	34

---

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	2.3%	11.4%	36.4%	9.1%	2.3%		38.6%	25.0%	36.4%
Number of students (out of 44)	1	5	16	4	1		17	11	16

---

Question #17:     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	2.3%	4.5%	9.1%	54.5%	2.3%		27.3%	18.2%	54.5%
Number of students (out of 44)	1	2	4	24	1		12	8	24

---

Question #18:     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	2.3%	2.3%	47.7%	2.3%	31.8%		13.6%	54.5%	31.8%
Number of students (out of 44)	1	1	21	1	14		6	24	14

---

Question #19:     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	4.5%	38.6%	43.2%	0.0%	0.0%		13.6%	43.2%	43.2%
Number of students (out of 44)	2	17	19	0	0		6	19	19

---

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	2.3%	9.1%	11.4%	15.9%	0.0%		61.4%	27.3%	11.4%
Number of students (out of 44)	1	4	5	7	0		27	12	5

---

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	4.5%	4.5%	75.0%	6.8%	2.3%		6.8%	18.2%	75.0%
Number of students (out of 44)	2	2	33	3	1		3	8	33

---

Question #22:     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	6.8%	9.1%	2.3%	4.5%	4.5%		72.7%	22.7%	4.5%
Number of students (out of 44)	3	4	1	2	2		32	10	2

---

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	22.7%	11.4%	6.8%	6.8%	2.3%		50.0%	27.3%	22.7%
Number of students (out of 44)	10	5	3	3	1		22	12	10

---

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	29.5%	2.3%	27.3%	6.8%	0.0%		34.1%	36.4%	29.5%
Number of students (out of 44)	13	1	12	3	0		15	16	13

---

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	47.7%	6.8%	4.5%	6.8%	2.3%		31.8%	20.5%	47.7%
Number of students (out of 44)	21	3	2	3	1		14	9	21

---

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	4.5%	56.8%	6.8%	9.1%	2.3%		20.5%	22.7%	56.8%
Number of students (out of 44)	2	25	3	4	1		9	10	25

---

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	0.0%	2.3%	25.0%	18.2%	2.3%		52.3%	22.7%	25.0%
Number of students (out of 44)	0	1	11	8	1		23	10	11

---

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	9.1%	6.8%	13.6%	11.4%	4.5%		54.5%	36.4%	9.1%
Number of students (out of 44)	4	3	6	5	2		24	16	4

---

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	9.1%	45.5%	15.9%	2.3%	0.0%		27.3%	27.3%	45.5%
Number of students (out of 44)	4	20	7	1	0		12	12	20

---

Question #30:     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	9.1%	6.8%	6.8%	6.8%	36.4%		34.1%	29.5%	36.4%
Number of students (out of 44)	4	3	3	3	16		15	13	16

---

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

136

Buchholz High School

Nicholas Dang

B

B

B

C

D

C

D

D

A

A

D

A

A

C

D

C

D

E

C

C

C

A

A

A

B

C

A

B

E

2nd

127

Lawton Chiles High School

Aaron Hu

B

B

B

D

D

C

D

E

A

E

D

A

A

C

D

C

D

E

C

D

C

A

A

A

B

C

B

E

3rd

121

American Heritage Palm Beach

Richard Schulz

B

B

E

C

D

C

D

C

A

C

D

A

A

B

D

C

D

C

C

C

A

A

A

A

B

C

A

B

E

4th

120

Alabama School of Fine Arts

Elias Mrug

B

B

B

C

D

C

D

C

A

E

D

A

A

C

D

B

D

E

C

D

C

B

A

C

A

D

B

A

B

E

5th

117

American Heritage Broward

Yusuf Sheikh

B

B

B

D

C

D

A

A

D

A

A

D

C

D

E

C

C

A

A

B

C

B

E

6th

114

American Heritage Broward

Luke Freed

B

B

C

D

C

D

C

A

A

D

A

A

D

C

D

E

C

C

C

A

A

A

B

E

D

B

7th

112

Buchholz High School

Thomas Wu

B

B

B

D

D

C

D

A

A

D

A

A

D

C

D

E

C

C

A

A

B

C

E

8th

111

Berkeley Preparatory School

Aaron Xiong

B

B

B

D

C

D

C

A

E

D

A

D

C

D

C

C

B

C

A

C

A

B

B

E

9th

111

Buchholz High School

Edward Guthrie

B

B

B

D

C

D

A

E

D

A

A

D

C

E

B

C

A

C

A

B

C

B

B

E

10th

110

Round Rock High School

Raymond Zhao

B

B

B

C

D

C

D

C

A

E

A

A

A

A

D

E

D

E

C

D

C

A

A

A

C

B

D

D

B

E

11th

106

Buchholz High School

Zach Xiao

B

B

B

D

C

D

A

A

D

A

A

C

D

D

E

B

C

C

C

A

B

D

B

E

12th

105

American Heritage Broward

Nicholas Darosa

B

B

B

C

D

C

D

A

A

A

D

A

A

D

C

D

E

C

D

C

A

C

A

E

B

13th

100

American Heritage Broward

Junsouh Hong

B

B

B

B

D

C

D

C

A

E

D

A

A

A

D

D

C

C

C

C

C

B

B

B

E

14th

100

Buchholz High School

McKayla Ro

B

B

B

E

D

C

D

C

A

A

D

A

B

D

C

D

C

C

C

E

C

A

B

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

99

Vestavia Hills High School

Timothy Li

B

B

B

C

D

C

D

C

A

E

D

A

B

B

D

C

D

A

B

C

A

A

B

C

A

D

16th

99

American Heritage Palm Beach

Alejandro Martin

B

B

B

D

D

C

D

A

D

A

A

D

C

D

C

B

C

A

A

B

B

17th

90

Buchholz High School

Luke Xue

B

B

B

B

D

C

D

A

D

A

A

C

D

D

C

B

C

A

B

A

18th

88

Alabama School of Fine Arts

McNair Shah

C

B

C

C

C

D

C

B

B

A

A

D

D

E

C

C

B

A

B

E

B

E

19th

87

Thomas Jefferson High School

Thomas Huynh

B

B

C

E

A

D

A

D

C

E

B

C

A

A

B

C

D

E

20th

83

Lawton Chiles High School

Linsey Zhong

B

B

E

C

D

A

D

A

D

C

D

C

C

C

E

A

E

21st

79

American Heritage Broward

Harshith Kakumani

B

B

D

C

D

D

A

A

A

A

D

C

D

C

C

B

22nd

77

Dunbar High School

Jaansi Parsa

B

E

C

C

D

A

E

D

A

D

A

C

B

C

A

A

B

C

23rd

75

Buchholz High School

Kailyn Zhai

B

E

B

C

D

C

D

C

A

A

A

D

E

D

B

24th

74

Community School of Naples

Melita D'Souza

B

B

C

C

C

D

B

A

B

D

A

D

B

D

C

B

D

C

B

C

A

B

D

C

C

E

25th

66

Vestavia Hills High School

Geoffrey Wolf

B

B

C

D

A

A

B

D

C

C

C

C

A

B

26th

64

Vestavia Hills High School

Jamie Casey

B

B

D

C

D

A

A

D

A

E

E

C

C

C

B

C

27th

60

Scottsbluff High School

Calum Heldt

B

B

C

C

C

A

C

C

C

C

B

A

C

C

D

C

C

C

C

C

C

C

C

C

C

C

C

C

C

C

28th

55

Buchholz High School

Hannah Ciupe

B

B

A

A

D

C

C

B

A

A

B

C

B

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

29th

55

Jesuit High School

Ethan Benoit

D

B

D

D

D

C

D

D

D

D

D

A

D

D

D

D

D

C

A

D

C

D

D

D

D

E

D

D

C

E

30th

54

American Heritage Broward

Vishakha Joshi

E

B

B

C

D

C

D

B

A

B

B

B

B

C

C

D

D

D

D

D

B

31st

53

Alabama School of Fine Arts

Nicholas Godwin

B

E

B

C

D

E

D

A

C

E

B

A

C

B

B

B

A

32nd

48

Thomas Jefferson High School

Thanh Trinh

B

C

C

B

A

D

B

B

C

E

D

B

33rd

46

American Heritage Palm Beach

Pratheek Nathani

B

B

E

B

D

A

D

B

C

B

A

C

C

C

D

D

D

C

B

B

C

D

C

D

34th

46

Windsor Charter Academy

Lucas George

B

D

C

A

C

A

D

C

B

B

B

A

C

C

D

B

B

C

C

B

A

C

A

A

35th

45

Brentwood High School

Audrey Aulino

B

E

D

A

D

B

D

E

B

A

36th

45

Baton Rouge Magnet High School

Hsin-Cheng Lai

C

B

C

C

C

A

C

C

D

B

D

B

B

B

B

B

D

C

B

C

B

B

B

B

B

B

C

C

B

B

37th

41

Buchholz High School

Dana Chen

B

B

B

C

D

D

E

B

A

D

D

C

A

C

A

C

C

C

C

38th

40

Kamehameha Schools

Koa Chang

D

B

E

D

D

A

D

D

D

D

D

B

D

D

D

D

D

D

B

D

D

D

D

D

D

D

D

D

B

D

39th

38

Windsor Charter Academy

Ethan Gopaul

B

A

B

D

A

E

C

B

C

A

C

B

40th

37

Buchholz High School

Angela Gao

B

B

A

41st

36

Dallas College

Grant Gansle

A

B

A

D

A

D

B

B

B

A

A

C

A

B

42nd

28

Marion High School

Johnathan Peters

A

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

43rd

27

Orlando Science Schools

Flavio Canello

D

B

E

D

A

A

D

C

B

A

B

E

B

B

C

C

D

C

44th

25

Dunbar High School

Thi Phan

D

B

E

B

B

C

D

B

D

B

A

C

D

A

C

D

C

C

A

B

E

B

B

C

A

A

D

B

B

A