This document contains the results of a test taken by 30 students on 10 questions labeled 1-H through 10-F. It provides the number of students who answered each question correctly, calculates total scores for each question, and performs several statistical analyses on the test results including calculating the Kuder-Richardson reliability coefficient (KR-21), difficulty index, and discrimination index. The KR-21 is calculated to be 0.21, indicating low reliability for the test. The difficulty index ranges from very easy to very difficult across questions, with most falling in the medium difficulty range. The discrimination index is mostly positive, suggesting questions can mostly distinguish between higher and lower performing students, though some are poor discriminators.

1. Result
Students 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
1-H 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0
2-P 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1
3-C 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1
4-A 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0
5-E 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1
6-O 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0
7-L 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1
8-T 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0
9-V 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0
10-F 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0
Students Total
1-H 13
2-P 18
3-C 17
4-A 19
5-E 19
6-O 16
7-L 15
8-T 14
9-V 15
10-F 9
Total 155

2. Test of Reliability
KR-21
Students 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
1-H 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0
2-P 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1
3-C 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1
4-A 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0
5-E 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1
6-O 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0
7-L 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1
8-T 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0
9-V 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0
10-F 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0
Students Total
1-H 13
2-P 18
3-C 17
4-A 19
5-E 19
6-O 16
7-L 15
8-T 14
9-V 15
10-F 9
Total 155
15.5x 
2
9.3888s 
30k 
r 
1
k
k  2
( )
1
x k x
ks
 
 
 
r  30
30 1
15.5(30 15.5)
1
30(9.388)
 
 
 
r 
30
29
 1 .7979
0.21r  Therefore, the test has low
reliability.

3. Difficulty Index
Students 1 2 3 4 5 6 7 8 9 1
0
1
1
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ∑x
4-A 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 19
5-E 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 19
2-P 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 18
3-C 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 17
6-O 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 16
7-L 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 15
9-V 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 15
8-T 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 14
1-H 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 13
10-F 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 9
Hc 5 5 3 5 3 5 5 3 5 2 5 0 0 3 0 2 1 0 4 4 3 2 3 1 4 3 2 4 4 3
Lc 3 5 4 5 3 4 4 0 1 2 2 0 0 3 3 1 0 2 0 3 0 3 3 3 2 2 1 3 3 1
p 0.8 1 0.7 1 0.6 0.9 0.9 0.3 0.6 0.4 0.7 0 0 0.6 0.3 0.3 0.1 0.3 0.4 0.7 0.3 0.5 0.6 0.4 0.6 0.5 0.3 0.7 0.7 0.4 0.52
Interp. E Ve E Ve Md Ve Ve D Md D E Vd Vd Md D D Vd D D E D Md Md D Md Md D E E D Md

4. Discrimination Index
Students 1 2 3 4 5 6 7 8 9 1
0
1
1
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ∑x
4-A 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 19
5-E 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 19
2-P 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 18
3-C 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 17
6-O 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 16
7-L 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 15
9-V 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 15
8-T 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 14
1-H 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 13
10-F 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 9
Hc 5 5 3 5 3 5 5 3 5 2 5 0 0 3 0 2 1 0 4 4 3 2 3 1 4 3 2 4 4 3
Lc 3 5 4 5 3 4 4 0 1 2 2 0 0 3 3 1 0 2 0 3 0 3 3 3 2 2 1 3 3 1
D 0.4 0 -0.2 0 0 0.2 0.2 0.6 0.8 0 0.6 0 0 0 -0.6 0.2 0.2 -0.4 0.8 0.2 0.6 -0.2 0 -0.4 0.4 0.2 0.2 0.2 0.2 0.4 0.15
Interp. Vg Pi Pi Pi Pi Pi Pi Vg Vg Pi Vg Pi Pi Pi Pi Pi Pi Pi Vg Pi Vg Pi Pi Pi Vg Pi Pi Pi Pi Vg Pi

5. Test Interpretation
Students 1 2 3 4 5 6 7 8 9 1
0
1
1
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ∑x
4-A 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 19
5-E 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 19
2-P 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 18
3-C 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 17
6-O 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 16
7-L 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 15
9-V 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 15
8-T 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 14
1-H 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 13
10-F 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 9
p 0.8 1 0.7 1 0.6 0.9 0.9 0.3 0.6 0.4 0.7 0 0 0.6 0.3 0.3 0.1 0.3 0.4 0.7 0.3 0.5 0.6 0.4 0.6 0.5 0.3 0.7 0.7 0.4 0.52
Interp. E Ve E Ve Md Ve Ve D Md D E Vd Vd Md D D Vd D D E D Md Md D Md Md D E E D Md
D 0.4 0 -0.2 0 0 0.2 0.2 0.6 0.8 0 0.6 0 0 0 -0.6 0.2 0.2 -0.4 0.8 0.2 0.6 -0.2 0 -0.4 0.4 0.2 0.2 0.2 0.2 0.4 0.15
Interp. Vg Pi Pi Pi Pi Pi Pi Vg Vg Pi Vg Pi Pi Pi Pi Pi Pi Pi Vg Pi Vg Pi Pi Pi Vg Pi Pi Pi Pi Vg Pi
T-Inter. $ & @ & @ & & $ $ @ $ & & @ @ @ & @ $ @ $ @ @ @ $ @ @ @ @ @ @
Legend: @ = Revise
$ = Retain
& = Remove

6. Item5 A B C* D
Hg 0 2 3 0
Lg 0 2 3 0
IE 0 0 0 0
Interp. PI
Item6 A B* C D
Hg 0 5 0 0
Lg 1 4 0 0
IE -0.2 0.2 0 0
Interp. Efd PI
Item7 A* B C D
Hg 5 0 0 0
Lg 4 1 0 0
IE 0.2 -0.2 0 0
Interp. PI MEd
Item8 A B C D*
Hg 1 0 0 4
Lg 2 0 3 0
IE -0.2 0 -0.6 0.8
Interp. MEd VG
Item9 A B C D*
Hg 0 0 0 5
Lg 2 1 1 1
IE -0.4 -0.2 -0.2 0.8
Interp. MEd VG
Item10 A B* C D
Hg 0 2 3 0
Lg 1 2 2 0
IE -0.2 0 0.2 0
Interp. MEd PI
Item11 A* B C D
Hg 5 0 0 0
Lg 2 0 1 2
IE 0.6 0 -0.2 -0.4
Interp. VG MEd
Item12 A B* C D
Hg 2 0 2 1
Lg 4 0 0 1
IE -0.4 0 0.4 0
Interp. MEd PI
Distracter Analysis

7. Item14 A B C* D
Hg 1 0 3 1
Lg 1 1 3 0
IE 0 -0.2 0 0.2
Interp. MEd PI
Item15 A B* C D
Hg 3 0 1 1
Lg 1 3 0 1
IE 0.4 -0.6 0.2 0
Interp. PI
Item16 A B* C D
Hg 0 2 2 1
Lg 1 1 2 1
IE -0.2 0.2 0 0
Interp. MEd PI
Item13 A B C* D
Hg 4 1 0 0
Lg 3 2 0 0
IE 0.2 -0.2 0 0
Interp. MEd PI
Item17 A B C D*
Hg 1 2 1 1
Lg 1 1 3 0
IE 0 0.2 -0.4 0.2
Interp. MEd PI
Item18 A* B C D
Hg 0 0 3 2
Lg 2 0 0 3
IE -0.4 0 0.6 -0.2
Interp. PI MEd
Item19 A B C D*
Hg 1 0 0 4
Lg 1 4 0 0
IE 0 -0.8 0 0.8
Interp. MEd VG
Item20 A B* C D
Hg 0 4 1 0
Lg 1 3 1 0
IE -0.2 0.2 0 0
Interp. ED PI

8. Item21 A* B C D
Hg 3 1 0 1
Lg 1 1 0 3
IE 0.4 0 0 -0.3
Interp. VG MEd
Item22 A* B C D
Hg 2 0 0 3
Lg 3 1 0 1
IE -0.2 -0.2 0 0.4
Interp PI MEd
Item23 A B* C D
Hg 0 3 2 0
Lg 1 3 1 0
IE -0.2 0 0.2 0
Interp. PI MEd
Item24 A B C* D
Hg 1 0 1 3
Lg 2 0 3 0
IE -0.2 0 -0.4 0.6
Interp. MEd PI
Item25 A B C* D
Hg 0 0 4 1
Lg 2 0 2 1
IE -0.4 0 0.4 0
Interp. MEd VG
Item26 A* B C D
Hg 3 1 0 1
Lg 2 2 1 0
IE 0.2 -0.2 -0.2 0.2
Interp. PI MEd
Item27 A B C D*
Hg 1 1 1 2
Lg 1 2 1 1
IE 0 -0.2 0 0.2
Interp. MEd PI
Item28 A B* C D
Hg 0 4 0 1
Lg 2 3 0 0
IE -0.4 0.2 0 0.2
Interp. MEd PI

9. Item29 A B* C D
Hg 0 4 1 0
Lg 1 3 1 0
IE -0.2 0.2 0 0
Interp. MEd PI
Item30 A B C D*
Hg 1 1 0 3
Lg 3 0 1 1
IE -0.4 0.2 -0.2 0.4
Interp. MEd VG