REPORT FOR: Mu Limits and Derivatives - Nationals 2023
(Jump to Results By Student)

MEAN SCORE: 74.5     STANDARD DEVIATION: 34.286     MEDIAN SCORE: 72

Average number of questions left blank:	9.5
Average number of questions answered incorrectly:	7.5
Average number of questions answered correctly:	13

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	56.5%	3.2%	9.7%	14.5%	1.6%		14.5%	29.0%	56.5%
Number of students (out of 62)	35	2	6	9	1		9	18	35

---

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	4.8%	6.5%	24.2%	25.8%	6.5%		32.3%	41.9%	25.8%
Number of students (out of 62)	3	4	15	16	4		20	26	16

---

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	62.9%	8.1%	4.8%	3.2%	6.5%		14.5%	22.6%	62.9%
Number of students (out of 62)	39	5	3	2	4		9	14	39

---

Question #4:     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	46.8%	6.5%	6.5%	8.1%	3.2%		29.0%	24.2%	46.8%
Number of students (out of 62)	29	4	4	5	2		18	15	29

---

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%	67.7%	19.4%	6.5%	1.6%		4.8%	27.4%	67.7%
Number of students (out of 62)	0	42	12	4	1		3	17	42

---

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	1.6%	6.5%	67.7%	3.2%	4.8%		16.1%	16.1%	67.7%
Number of students (out of 62)	1	4	42	2	3		10	10	42

---

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	17.7%	11.3%	3.2%	35.5%	0.0%		32.3%	32.3%	35.5%
Number of students (out of 62)	11	7	2	22	0		20	20	22

---

Question #8:     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%	38.7%	11.3%	4.8%	3.2%		41.9%	19.4%	38.7%
Number of students (out of 62)	0	24	7	3	2		26	12	24

---

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%	12.9%	17.7%	3.2%	3.2%		56.5%	25.8%	17.7%
Number of students (out of 62)	4	8	11	2	2		35	16	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	14.5%	71.0%	0.0%	0.0%	1.6%		12.9%	16.1%	71.0%
Number of students (out of 62)	9	44	0	0	1		8	10	44

---

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	38.7%	8.1%	6.5%	22.6%	6.5%		17.7%	59.7%	22.6%
Number of students (out of 62)	24	5	4	14	4		11	37	14

---

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	8.1%	53.2%	11.3%	1.6%	3.2%		22.6%	24.2%	53.2%
Number of students (out of 62)	5	33	7	1	2		14	15	33

---

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	3.2%	53.2%	8.1%	12.9%	4.8%		17.7%	29.0%	53.2%
Number of students (out of 62)	2	33	5	8	3		11	18	33

---

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	54.8%	6.5%	14.5%	4.8%	0.0%		19.4%	25.8%	54.8%
Number of students (out of 62)	34	4	9	3	0		12	16	34

---

Question #15:     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	4.8%	6.5%	27.4%	9.7%	3.2%		48.4%	24.2%	27.4%
Number of students (out of 62)	3	4	17	6	2		30	15	17

---

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	3.2%	6.5%	54.8%	6.5%	0.0%		29.0%	16.1%	54.8%
Number of students (out of 62)	2	4	34	4	0		18	10	34

---

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	4.8%	17.7%	22.6%	6.5%	0.0%		48.4%	29.0%	22.6%
Number of students (out of 62)	3	11	14	4	0		30	18	14

---

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	59.7%	4.8%	1.6%	11.3%	1.6%		21.0%	19.4%	59.7%
Number of students (out of 62)	37	3	1	7	1		13	12	37

---

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	19.4%	16.1%	38.7%	4.8%	0.0%		21.0%	40.3%	38.7%
Number of students (out of 62)	12	10	24	3	0		13	25	24

---

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%	1.6%	67.7%	6.5%	0.0%		24.2%	8.1%	67.7%
Number of students (out of 62)	0	1	42	4	0		15	5	42

---

Question #21:     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	6.5%	17.7%	29.0%	16.1%	0.0%		30.6%	51.6%	17.7%
Number of students (out of 62)	4	11	18	10	0		19	32	11

---

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	8.1%	62.9%	3.2%	3.2%	1.6%		21.0%	16.1%	62.9%
Number of students (out of 62)	5	39	2	2	1		13	10	39

---

Question #23:     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	3.2%	3.2%	46.8%	3.2%	0.0%		43.5%	9.7%	46.8%
Number of students (out of 62)	2	2	29	2	0		27	6	29

---

Question #24:     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	3.2%	51.6%	8.1%	4.8%	4.8%		27.4%	21.0%	51.6%
Number of students (out of 62)	2	32	5	3	3		17	13	32

---

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	11.3%	45.2%	6.5%	1.6%	1.6%		33.9%	21.0%	45.2%
Number of students (out of 62)	7	28	4	1	1		21	13	28

---

Question #26:     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	32.3%	1.6%	4.8%	6.5%	4.8%		50.0%	17.7%	32.3%
Number of students (out of 62)	20	1	3	4	3		31	11	20

---

Question #27:     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	3.2%	11.3%	24.2%	3.2%	3.2%		54.8%	41.9%	3.2%
Number of students (out of 62)	2	7	15	2	2		34	26	2

---

Question #28:     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	1.6%	8.1%	6.5%	38.7%	0.0%		45.2%	16.1%	38.7%
Number of students (out of 62)	1	5	4	24	0		28	10	24

---

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	24.2%	3.2%	4.8%	1.6%	3.2%		62.9%	12.9%	24.2%
Number of students (out of 62)	15	2	3	1	2		39	8	15

---

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	32.3%	3.2%	4.8%	1.6%	1.6%		56.5%	11.3%	32.3%
Number of students (out of 62)	20	2	3	1	1		35	7	20

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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

140

American Heritage Palm Beach

Ramez Ortiz

A

D

A

A

B

C

D

B

C

B

D

B

B

A

C

C

B

A

C

C

C

B

C

B

B

A

E

D

A

A

2nd

135

American Heritage Broward

Yusuf Sheikh

A

D

A

A

B

C

D

B

C

B

D

B

B

A

C

C

C

A

C

C

C

B

C

B

B

E

C

D

A

A

3rd

129

Buchholz High School

Thomas Wu

A

D

A

A

B

C

B

C

B

D

B

B

A

C

A

C

C

C

B

C

B

B

A

D

A

A

4th

127

Buchholz High School

Parsa Tehranipoor

A

D

A

A

B

C

D

B

C

B

D

B

B

A

C

B

A

C

C

C

B

C

B

B

A

D

E

A

5th

125

Buchholz High School

Katie He

A

D

A

A

B

C

B

B

C

B

C

B

B

A

C

C

D

A

C

C

C

B

C

B

B

A

C

D

A

A

6th

121

Alabama School of Fine Arts

Elias Mrug

A

D

A

A

B

C

D

B

E

B

A

B

B

A

C

C

C

A

C

C

C

B

B

A

A

C

D

A

A

7th

120

Buchholz High School

McKayla Ro

A

D

A

A

B

C

D

B

B

A

B

A

C

A

C

C

C

B

C

B

B

A

D

A

A

8th

119

Buchholz High School

Billy Yang

D

C

A

A

B

C

B

C

B

D

B

B

A

C

C

A

C

C

C

B

C

B

B

A

D

A

9th

112

American Heritage Broward

Luke Freed

A

C

A

A

B

C

D

E

C

B

A

B

C

A

C

C

A

C

C

B

B

C

B

B

A

B

A

E

10th

110

Buchholz High School

Zach Xiao

A

D

A

A

B

C

B

B

B

D

C

B

A

C

C

A

B

C

D

B

B

B

A

D

A

11th

110

Buchholz High School

Nathan Wei

C

C

A

A

B

C

A

B

E

B

A

B

B

A

C

C

C

A

B

C

C

B

C

B

B

A

B

D

A

A

12th

108

Buchholz High School

Abhinav Pothuri

A

C

A

A

B

C

D

B

B

B

A

B

C

C

C

B

A

C

C

C

B

C

B

B

A

D

A

13th

107

Buchholz High School

Will Guan

A

E

A

A

B

C

D

B

B

A

B

B

C

C

C

C

A

C

C

B

C

B

E

A

C

D

E

A

14th

106

Community School of Naples

Melita D'Souza

A

A

A

B

B

B

B

A

B

B

A

C

B

A

C

C

C

B

C

B

A

D

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

15th

104

American Heritage Broward

Carolina Silva

A

A

A

B

C

B

B

B

B

A

C

A

C

C

B

E

B

A

D

A

A

16th

104

Buchholz High School

Luke Xue

D

A

A

B

C

D

B

A

B

B

A

C

C

A

C

C

B

B

D

A

A

17th

104

Buchholz High School

Nolan Gao

C

C

A

A

D

C

D

B

C

B

D

B

B

A

C

C

A

A

C

B

B

C

B

B

B

C

18th

101

Buchholz High School

Philip Matchev

C

A

A

B

D

B

B

A

C

C

C

A

C

C

B

B

C

B

D

19th

100

American Heritage Palm Beach

Jesse Brodtman

A

D

A

A

C

C

D

B

B

B

A

B

B

A

C

C

D

A

C

C

D

B

C

B

B

D

C

B

D

D

20th

98

American Heritage Broward

Sailalitha Kodukula

A

D

A

E

B

C

B

B

A

B

C

A

C

C

A

C

C

B

B

B

A

D

21st

97

Round Rock High School

Raymond Zhao

C

D

A

E

B

C

D

C

B

B

D

B

B

A

E

C

B

A

C

C

B

B

C

B

A

A

A

B

22nd

94

American Heritage Broward

Sydney Lee

A

D

A

A

B

C

B

B

B

A

B

B

A

C

A

C

D

B

B

B

B

23rd

92

Vestavia Hills High School

Daniel Cheng

A

C

A

A

B

C

D

B

B

C

B

B

A

D

C

A

C

D

B

B

B

C

D

24th

91

American Heritage Broward

Harshith Kakumani

A

A

C

B

B

A

B

B

A

A

A

C

B

C

B

E

D

A

A

25th

91

Buchholz High School

Hailey Lin

A

B

C

B

A

B

A

C

C

A

B

C

C

B

B

B

A

D

A

26th

86

American Heritage Broward

Anik Bora

A

E

A

A

B

C

B

B

A

B

B

C

C

B

A

B

C

C

B

D

B

B

A

D

27th

79

American Heritage Broward

Timothy Kong

A

D

A

D

B

C

E

A

B

B

C

D

A

C

C

B

C

B

B

C

D

28th

78

Dunbar High School

Jaansi Parsa

C

C

D

B

C

B

A

D

A

A

C

B

C

B

B

D

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

75

Fayetteville High School

Keming Meng

A

A

A

B

C

C

B

B

C

A

C

C

D

D

B

30th

75

Vestavia Hills High School

Jamie Casey

A

A

A

D

C

C

E

B

B

B

A

C

B

C

B

C

B

A

C

B

31st

72

American Heritage Broward

Joseph Wang

A

E

A

A

C

C

B

B

A

B

D

A

D

D

C

A

C

C

B

B

E

A

D

32nd

72

Kamehameha Schools

Sinjin Cho-Tupua

A

C

A

D

B

C

A

D

C

B

E

E

D

A

B

C

C

B

C

C

B

D

B

33rd

69

American Heritage Palm Beach

Drake Austin

A

E

A

B

C

C

C

B

B

C

B

B

A

C

B

A

A

B

C

C

C

E

E

C

C

C

34th

69

Brentwood High School

Audrey Aulino

C

A

A

B

C

B

A

B

B

A

E

C

B

A

B

A

35th

63

American Heritage Palm Beach

Isidoro Lapidot

D

A

A

C

C

B

B

A

A

A

A

B

A

D

C

A

B

C

C

D

B

B

36th

60

Alabama School of Fine Arts

Deepakkumar Sathishkumar

A

C

C

A

C

B

D

A

E

A

E

C

A

A

B

37th

60

Baton Rouge Magnet High School

Hsin-Cheng Lai

D

C

A

B

B

C

D

B

A

B

B

C

B

D

B

C

A

D

B

B

A

A

C

B

B

D

D

C

B

A

38th

56

American Heritage Palm Beach

Lukas Cai

B

C

C

A

A

D

C

A

A

A

C

B

B

B

39th

55

Alabama School of Fine Arts

Steven Tran

A

E

C

E

D

A

C

C

B

C

40th

53

American Heritage Broward

Vishakha Joshi

E

C

B

B

B

C

A

A

C

C

C

E

41st

50

Windsor Charter Academy

Sean Holt

A

C

B

C

B

C

A

D

B

A

A

C

D

C

B

C

B

A

D

C

B

B

A

C

A

C

C

D

B

A

42nd

50

American Heritage Palm Beach

Vivian Zhou

D

A

A

D

C

B

D

C

D

B

D

B

B

C

D

B

D

D

C

D

C

B

C

B

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

43rd

47

Marion High School

Lillia Fisher

D

C

C

A

D

C

D

B

B

A

C

E

B

A

C

D

D

A

44th

46

Orlando Science Schools

Flavio Canello

C

A

E

B

B

E

D

C

B

B

B

B

D

D

D

A

C

B

C

45th

45

Dallas College

Jesus Torres

A

C

A

D

B

D

D

C

B

A

A

B

D

C

A

A

B

C

C

C

A

A

C

C

C

D

C

C

A

C

46th

45

Franklinton High School

Dmitriy Miller

D

B

D

B

A

47th

45

Windsor Charter Academy

Isha Sharma

D

B

B

C

B

A

D

B

A

A

C

D

D

A

A

B

C

D

B

D

B

A

C

D

B

A

B

A

C

B

48th

44

Dunbar High School

Benjamin Hamilton

A

C

C

A

B

C

A

C

D

A

B

49th

43

Berkeley Preparatory School

Anuv Singh

A

C

C

C

B

D

D

B

D

C

C

D

B

A

B

D

B

D

B

C

A

C

50th

42

Lawton Chiles High School

Nonoko Kametani

D

D

E

B

C

A

B

E

C

B

A

C

B

51st

39

Thomas Jefferson High School

Justin Lowey

A

B

B

B

A

E

52nd

39

Windsor Charter Academy

Raena Pientka

A

A

C

B

A

C

B

D

C

D

A

53rd

37

Thomas Jefferson High School

Meghan Schuyleman

A

E

B

54th

36

Scottsbluff High School

Isaiah Jones

B

A

D

D

55th

34

Scottsbluff High School

Grant Kildow

C

A

D

D

D

B

56th

33

Marion High School

Ryan Spitzer

A

B

A

C

B

D

A

B

A

A

E

C

D

C

C

B

A

B

D

C

D

A

B

A

D

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

57th

33

Thomas Jefferson High School

Justin Hoang

D

C

D

B

C

B

A

C

B

B

D

B

C

D

A

B

C

C

C

C

A

B

58th

32

Windsor Charter Academy

Lucas George

A

B

C

D

B

B

A

C

A

B

D

B

A

C

B

B

D

D

B

B

A

C

A

59th

30

Thomas Jefferson High School

Gurshan Singh

A

D

A

A

B

60th

30

Thomas Jefferson High School

Ankit Gowda

D

B

B

B

C

C

B

A

E

A

B

A

C

D

B

61st

26

Florida State College at Jacksonville

Abby Bowden

D

E

A

E

62nd

26

Thomas Jefferson High School

Julia Jung

B

C

B

B

E

B

A

A

C

D

A

A

E

C