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

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

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

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