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A. ACQUISITION OF KNOWLEDGE
10 MEANING OF TEST, MEASUREMENT AND EVALUATION
1.1Test Test is a systematic way to measure changes in an individuals
behavior (R.M Gadge, 1965)
In the class, test is measuring instrument to obtain information
regarding pupils learning activities and achievement in the cognitive,
psychomotor or effective fields.
Test able to show pupils explicitly in the form of activities such as
answer questions orally or written form or through demonstration.
The testing process begins from the preparation stage, follow by theimplementation (administration) stage and ends up with an
assessment stage. Through these stages of testing process, a teacher
will be able to find weather his pupils have successfully mastered
certain skill and acquired the knowledge which has been learned.
1.1Measurement
Measurement is a process or system used to determine the
quantitative value of a certain test in learning. This quantitative value is usually expressed in a fixed number.
Measurement covers all aspects of testing, including the use of
ordinal scale or interval scale to determine the position and
achievement of pupils in the class or among classes.
Ordinary scale is a measuring instrument use to rank pupils grades
or positions according to the marks obtain in certain test.
Interval scale which contains unit of mark with the same weightage
in its value is not only used to determine pupils performance andachievement.
1.1Evaluation
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Evaluation is defined as processes to determine obtains and provide
useful information so as to make objective consideration for follow
up action (D. Stufflebeam, 1971).
Evaluation is system or process which covers activities to collect
information relating to strategy of teaching learning activities and
to analysis and interpretation of result, with the aim to take
appropriate follow up action
Evaluation have 5 stages which is
i. Test preparation
ii. Test implementation
iii. Assessment and measurement
iv. Analysis of result
v. Interpretation and follow up action
10 THE AIMS OF TEST, MEASUREMENT AND EVALUATION
1.1Aim of test
To determine changes in pupils behaviour.
To determine pupils achievement in certain learning.
To place pupils in suitable groups according to the test result.
To motivate pupils to revise their lessons.
To train pupils to make appropriate preparation for public examination.
1.1aim of measurement
To determine level of achievement and positions of pupils in the same
class or among several classes.
To make comparison between pupils achievement and positions in
certain subject or their overall academic achievement.
To allocate pupils for appropriate streaming.
To make analysis, interpretation and conclusion for certain research
based on the result of measurement.
To award certificates as a form of academic achievement in certain
school level.
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Use as criteria for the relevant authority to refer for certain purpose.
1.1Aim of evaluation
To collect information concerning pupils achievement after teaching-
learning activities.
To determine pupils strength and weaknesses in learning certain skill
so as to plan for enrichment or remedial activities.
To determine the effect of teachers presentation in class so as to plan
for more effective teaching strategy.
To determine the achievement of pre determined learning objectives
so as to plan for teaching-learning activities that follow.
To record the evaluation results in the individuals Performance and
Profile Record.
To assess the effectiveness of implementing a certain new programme,
such as the KBSR or KBSM programme.
10 EVALUATION OF STUDENTS:
1.1Formative And Summative Tests
The types of evaluation namely:
1. Evaluation to certain the effect in skill mastering
Conducted in class while teacher is carrying out the lesson.
The aim is to find out the weaknesses which can be corrected on
the spot. (Informal Test).
1. Evaluation to ascertain the effect in learning progress
Carried out after several related skills have been completed in a
class.
The aim is to try to understand pupils progress in learning certain
skills so as to determine groups of pupils who need enrichment or
remedial activities.
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The results of this type of evaluation are usually written in Student
Performance Record.
1. Evaluation to ascertain the effect in achievement
Carried out after teacher has taught a few learning topics. Held
before the end of a school term.
The aim is to differentiate the pupils achievement after a few
learning topics, so as to determine the positions in their respective
learning groups.
Carried out in a formal way involves many important skills which
are required to assess a pupils level of achievement.
3.1.1 Formative and Summative test
Type
AspectFormative test Summative test
concept
A type of formal or informal test
to assess the effectiveness of skill
mastering and progress of
learning in class
A type of formal test to assess
pupils achievement in certain
schooling level.
Aim
To ascertain the effectiveness of
skill mastering and pupils
progress, to correct their
weaknesses immediately
To determine pupils
achievement based on a few
learning units, and arrange
their grade levels accordingly.
Activity
To carry out formal and informal
test individually, in groups or in
class during learning.
To use a few periods to carry
out formal test in class or
form.
TimeTo carry out after teaching one or
several skills
To carry out after teaching a
few learning units.
Format
Informal (observation and
question-answer) or, formal
(paper-pencil test in a short
duration)
Formal: paper-pencil test or
oral test within a suitable time
period.
TargetIndividually, groups or the whole
class.
The whole class or form.
CoverageCovers certain skill (informal test)
or a few skills (formal test).
Cover a few learning units or
certain schooling level.
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Record
No record (for informal test), and
the use of check list/performance
record (for formal test).
Profile record or certificate.
Follow up
action
Correct weaknessesimmediately or carry out
remedial/enrichment
activities in class.
Replacing pupils in suitable
learning groups.
Place pupils in suitablegroups/class.
Plan and modify
lesson/curriculum.
Award certificates
based on achievement
in examination.
1.1.2 Norm Referenced And Criterion Referenced Evaluation
Type
AspectNorm-referenced evaluation
Criterion-referenced
evaluation
Concept
Relative-achievement evaluation
which shows performance of
groups of candidates in the form
of a normal graph
Objective-referenced
evaluation which determines
individual achievement based
on a minimum criterion fived
earlier
Aim
To compare and distinguish
performance between candidates
or between groups.
To determine the ability to
master learning based on
certain fixed criterion.
Uses
Summative test to distinguish
candidates in performance level
of distinction, credit, pass and
fail.
Formative test to improve
teaching learning based on
the test result.
Target
Comparison of performance
among candidates.
Determination of performance
individually or in small groups.
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Question
characteristic
Question arranged from easy to
difficult, and with discrimination
among candidates.
All questions have almost the
same level of difficulty based
on learning objective
Grading
Passing mark or grading isdetermined after the test result.
Passing marks or grading isdetermined before the test is
carried out.
Coverage
Question content covers a wide
range of learning skills.
Question content
concentrates on limited
learning skills.
Examples
Public examinations such as
UPSR, PMR, SPM and STPM.
Short test, course work,
written exercise, and learning
activities, project.
10 SCHOOL BASED EVALUATION: PKSR AND PKSM
Evaluation activity used to gauge the overall development of pupils.
PKSR (Penilaian Kendalian Sekolah Rendah) or as known as Primary School
Based Evaluation and PKSM (Penilaian Kendalian Sekolah Menengah) orSecondary School Based Evaluation.
All instrument used for the test are designed by the teachers themselves,
with the assistance and guidance from the district education officer. Is not a
national public examination.
Evaluating carried out by teacher during teaching-learning activities in the
classroom so as to ascertain the pupils progress, based on the aims and
objectives of KBSR or KBSM programme.
Information obtained from the School Based Evaluation is usually used toplan and carry out follow up activity.
The aim to improve teachers teaching-learning programme and upgrade the
performance of the pupils learning.
4.1 Aim and Roles of Evaluation in KBSR/KBSM
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i. To improve pupils learning modifying the teaching-learning activities
based on the result obtained from the School Based Evaluation.
ii. To understand clearly the pupils learning strength and weaknesses so
that appropriate follow up activity can be carried out to assist them
overcome their weaknesses that have been identified.
iii. To stimulate pupils so that they will improve their learning through the
teachers advice and guidance according to the result of the School Based
Evaluation.
iv. To prepare pupils to accommodate themselves in the testing situation
through continuous evaluation.
v. To raise the standard of evaluation by constructing test items of good
quality, so that the process of measuring pupils learning becomes more
effective and meaningful.
vi. To improve the teachers ability and efficiency in conducting tests with
better standard and subsequently upgrade their performance in teaching-
learning activities.
10 TEST CONSTRUCTION
The characteristics of test
characteris
tics
Categor
ies
Description
Validity What is correct and accurateFace
Validity
Assessing what it is supposed to test
Checked by teachers who specialized on the topics
which are constructed as test items.
First stage of test construction.
Aim: to ensure that test constructed will be valid
and acceptable.
Good way to prepare earlier a Test Blue Print
(Table of Specification) for certain topic or subject.
Criterion-
Related
Validity
To compare scores on a certain assessment with values
from some external criterion.
1. Predictive validity
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The ability to predict the capability or
qualification of an individual in carrying out
certain duty or work in future.
Example: Trial examinations of UPSR, PMR, SPM
and STPM.
1. Concurrent validity
Refer to individuals achievement in a test
which is highly correlated with the achievement
of a previous similar test.
Conducting similar test so as to correlate it with
the result of a previous test. If the result of the
two test s has high correlation, then we can
conclude that this test contains characteristics
of high concurrent validity.
1. Construct validity
The matching between the assessment and
those attributes which are presumed to
underlie test performance.
The underlying attributes should include all
previous skills related to the assessment of the
attributes or constructs.
Reliability A test refers to the extent of how close a particular
result of the test is to the true value of what is
being assessed.
The consistency of a candidates achievement as a
result of several but similar tests taken duringvarious time periods, such a few days or a week.
If the test reliable, their scores obtained would
tend to cluster around the proper score which is
assumed as a standard score.
If the value of correlation coefficient is above 0.9,
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then we can safely conclude that the tests are
reliable.
Use split half reliability to conduct the test only
once by splitting it into two equivalent halves,
dividing the odd and even items with similar
attributes, and then assesses their values of
correlation coefficient. It would avoid interferences
or other influences that may occur between the
intervals of the two tests held, thus reducing the
chance of variation in scores due to the forgetting,
or improvement of the candidates under test.
Construct two completely parallel forms and the
same test, and to be held concurrently or
subsequently.
Objectivity A test refers to the accuracy of an examiner in
marking any candidates answers. A test is said to
contain characteristic of objectivity.
The examiner awards the same mark to the same
answer of all the candidates, according to the
marking scheme has been determined earlier. Limited structures responses are tests which
contain the characteristic of true objectivity, only
one correct answer.
Free responses (low objectivity): essay type test
different examiners to award mark directly and
accurately.
Improve by using analytic marking scheme i.e.
main points are given appropriate marks so as tobecome a general guidance.
Administra
bility
The smooth implementation of the testing process
in a room or an examination hall.
Orderly arrangement of the examination centre
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before the test, so that it can be carried out
according to the scheduled time, directive can be
forwarded clearly to every candidate.
Improved through several ways, such as
preparation of a reasonable number of questions
according to the time allocated; tables and chairs.
If the whole process of conducting a test from the
beginning stage of preparing the question papers
until the ending stage of marking the candidates
answer script can be carried out smoothly
according to scheduled time table with minimum
cost.
Accessibility
The result of candidates achievement, which canbe easily interpreted and assessed by way of
providing clear and useful information according to
the objective of test.
The test must easy to collect, assess and interpret
so as to reflect clear and accurate pictures of the
test performance.
The evaluation result based from the interpretation
will provide correct depiction on the candidatesachievement and placing, their strength and
weaknesses, suitability of teaching-learning
strategy and test items, as well as the
achievement of teaching-learning objective in the
class.
10 PLANNING A TEST
1.1Determine aim of testing.
First step in planning a test is to determine its aim. After identifying the aim of
the test, the next stage of planning will be made easier. Teacher must
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determine the type of test or its format, i.e. whether it is suitable to use a
subjective test or an objective test format.
1.2Determine test content.
Based on the aim of the test and the type of test to be used, and then select
learning content to be tested. It is stressed that the selected factual knowledge
and skills as test content must be based on the syllabus. Level of skill must be
reflected accurately in each test item. It is includes some or all levels of
knowledge, understanding, application, analysis, synthesis and evaluation.
Levels Description1. Knowledge To test the ability of the candidate to recall certain fact
meaning, term, principle, law or definitions that havebeen learned.
Example:
The integer 8 is read as
A. minus 8
B. negative 8
C. subtract 8
D. negative 8 units
1. Understandin
g
To test the ability of understanding or skill, including the
ability to explain certain fact, concept, principle, law or
theory.
Example:
A glass of water is at freezing point of 0 C. When salt is
added, its
Temperature drops by 3C. What is the new
temperature of the water?
A. 3 C
B. + 3 C
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C. - 3 C
D. 3 C below zero
1. Application To test the ability of using fact, concept, principle, law,theory, knowledge or skill for problem solving.
Example:
Tee took 2 hours 35 minutes by bus to reach his
grandmothers house. If Tee arrived at his
grandmothers house at 1.25 p.m., at what time did he
leave his house?
A. 11.50 a.m
B. 10.50 a.m
C. 9.50 a.m
D. 10.10 a.m
1. Analysis To test the ability to compare and contrast, relate or to
extract the attributes of the concept, knowledge or skill
that have been learned.
Example:
Azlina spent a few months preparing for her SPM
examination. Based on the given statement, state the
unknown involved.
A. Making preparations
B. The number of months
C. SPM examination
D. Azlina
1. Synthesis To test the ability to combine or integrate knowledge or
skills learned for problem solving.
Example:
In Diagram 6, EFG is a right-angled triangle.
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Diagram 6
The value of x is
A. 40
B. 50
C. 60
D. 70
1. Evaluation This level is to test the ability to prove, to evaluate, tocriticize, to infer or to conclude a certain statement.
Example:
What are the limitations of Phytogoras Therem?
i. Cannot use for acute-angled triangle.
ii. Cannot use for right-angled triangle.
iii. Cannot use for obtuse-angled triangle.
A. i, ii
B. ii, iiiC. i, iii
D. i, ii, iii
1.1Formulate Test Blue Print.
Test Blue Print contains two important elements which is topics (represented
along the vertical axis) and skill levels (represented along the vertical axis).
We can ensure that skills learned will be tested comprehensively as well as
its wightage of each skill level is appropriately allocated.
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Table below is From 1 Test Blue Print Semester 2 which contains 40
Mathematics items.
1.2Construct items/questions.
Referring the formulated Test Blue Prints, teacher can set the test questions,
usually prepared in either the form of subjective questions or objective items.
1.3Check items/questions.
After setting the items/questions, the teacher must check them carefully so that
they do not contain any mistake before the test administered. Teacher can
check the items based on format, content and language used during the
TOPIC
I II III IV V VITOTAL
KNW COMPH APL AN SYN EVA
m p s m p s m p s m p s m p s m p s m p s
WHOLE NUMBERS 1 1 1 1 0 4 0
NUMBER PATTERNSAND SEQUENCES 1 1 1 1 1 1
FRACTIONS 1 1 1 1 1 1 2 2
DECIMALS 1 1 1 0 3 0
PERCENTAGES
1 1 1 1 2 1 1
INTEGERS 1 1 1 1 0
ALGEBRAIC
EXPRESSIONS 1 1 1 2 1 0BASICMEASUREMENTS 1 1 1 1 1 1 2
LINE ANDANGLES
1 1 1 1 1 1
POLYGONS 1 1 1 0 2 1
PERIMETER ANDAREA 1 1 1 0 3 0
SOLID GEOMETRY 1 1 1 1 0 2
TOTAL m/p/s 3 2 2 1 3 2 1 5 2 1 4 1 2 4 1 2 2 2
10
20
10
TOTAL 7 6 8 6 7 6
PERCENTAGE 17.50% 15.00% 20.00% 15.00% 17.50% 15.00%
35.00%
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process of test construction. The teacher must to ensure that instructions given
are clear and simple to understand, time allocated is reasonable and the
arrangement of items are from easy to difficult and in a sequential order
according to the pre determined Test Blue Print.
6.6 Pre Test
The main aims of having a pre test are to ensure that questions which have
been set contain good and characteristics. Information collected from this pre
test will assist teacher to correct weaknesses found in the items. Some of the
good items can be used as questions for actual test later.
20 ANALYSIS AND INTERPRETATION OF ITEMS/QUESTIONS2.1Difficulty index
Difficulty Index, D.I=Number of candidates who answer the question correctly
(C)Total candidates who attempt the item (T)
Difficulty Index, D.I=CH+CLTH+L
CH = Total number of candidates in the high score group who answer
correctly the
item/question.
CL = Total number of candidates in the low score group who answer
correctly the
item/question.
T H+L = Total number of candidates in both groups with high and low scores
Difficulty Index (D.I) Interpretation of and
item
Decision
D.I
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0.3 D.I0.8 Average Accept
D.I >0.8 Too easy Modify
7.2 Discrimination index
Difficulty Index, Ds.I=CH-CL12TH+L
CH = Total number of candidates in the high score group who answer
correctly the
item/question.
CL = Total number of candidates in the low score group who answer
correctly the
item/question.
T H+L = Total number of candidates in both groups with high and low scores
Discrimination Index
(Ds.I)
Interpretation of and
itemDecision
Ds. I. > 0.4Positive Discrimination
High
Very suitable and can be
accepted
0.2 Ds.I.0.4Positive Discrimination
Moderate
Modify the item /
question.
0 Ds.I.0.20
Positive Discrimination
low
Item / question needs to
be reconstructed.
Ds.I.
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1. Design the format: at the top part of the question paper, write the name
of the test, instructions, date, marks and time allocated.
2. Select question from the Question Bank by referring Blue Print Test.
3. Arrange the item selected from simple to difficult.
4. Determine the marks to be given for each question.
5. Item must be typed with double/triple spacing so that they can be read
easily.
6. Check again all the items to ensure that they do not contain any mistake
in terms of language, structures and content.
1.1Administration of the test
1.1.1 Preparation Stage
1. Checking of the number of test question paper which have
prepared.
2. The candidates seating must be arranged according to certain
examination rules.
3. All facilities needed for the test such wall clock, candidates seating
plan, and other instrument.
1.1.1 Implementation Stage
Candidates usually 15 minutes in the test room before the test begin,
they must sit according to their respective allocated places, an
question papers as well as writing papers will then distributed by the
invigilators.
1.1.2 Coordination
Collecting the candidates answer scripts according to their indexs
numbers, including those unused writing papers. All the answer scripts
must be checked to ensure that the number of scripts collected is the
same as the number of the candidates.
1.2Marking Scheme for Subjective Tests
1. The content criterion that covers the information aspect or related fact of
the answer.
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2. The organization criterion that covers the aspect of accurate usage of
language and the skill of the presenting ideas logically and maturely
3. The process criterion that covers the aspect of accuracy, suitability,
perfectness, consistency, originality and creativity contained in the
candidates answer.
1.1.1 Analytical Approach
The marking scheme can be allocated or divided into three components
namely:
1. Content (content criterion) =12
2. Presentation (organization criterion) =4
3. Technique (process criterion) =4
Total mark =20
9.0 ANALYSIS AND INTERPRETATION OF TEST RESULT
There have 4 stages of evaluation process.
1. Collect arrange students score.
2. Measurement of mean, mode, median and standard deviation.
3. Make analysis on representative data.
4. Interpretation based on analyzed data.
9.1 Cumulative Frequency Distributions: Ogive
- The total number of values that fall below various scores of the frequency
distribution.
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Score X
From the ogive, we can find:
1. The number of candidates who obtained less than 74 mark
2. The number of candidates who fail, if the passing mark is 60 and above
3. The % of the candidates who would obtain grade A.
9.2 Percentage Ogive
Relative cumulative frequency polygon
A graph in which the upper class boundary of each class boundary is plotted
against the corresponding relative (%) cumulative frequency.
9.3 Histogram
Displays the class boundaries in the horizontal axis and the frequencies on
the vertical axis.
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Consist a set of rectangles on the horizontal axis with the class marks at the
centre of each rectangular based in which the length is equal to the
respective class width.
From the graph we will identify the number of candidates obtained by certain
arrange percentage marks.
9.4 Frequency Polygon
A line graph with class frequency plotted against class mark. Normally
constructed by joining the mid points of the tops of each rectangle in the
histogram.
9.5 Frequency Curve
It is similar to frequency polygon but the point plotted as a smooth curve.
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Some common types of frequency curves which is
1. Normal Curve
The observations equidistant from the central axis are having the same
frequency
1. Positive Skewed Curve
The curve possessed positive skewness
1. Negative Skewed Curve
The curve possessed negative skewness
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10. INTERPRETATIONS OF STATISTICAL DATA
10.1 Normal Distribution Curve
a) If the measure of dispersion the standard deviation, of a normal curve is
large, we can conclude that the achievement or performance of the students
is varied and heterogeneous.
b) If the measure of dispersion is small then the performance of the students is
approximately the same or homogeneous.
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10.2 Positive Skewed Curve
a) Mode
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A. TRANSFER OF KNOWLEDGE
10 TEST BLUE PRINT (REFER APPENDIX 1)
20 TEST ITEMS (REFER APPENDIX 2)
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30 MARKING SCHEME
Answer:
1. A) 5 957 14. D) 1, 2 AND 4
2. B) 8 15. C) 12
3. D) 1 939 464 16. D) 2, 3 AND 5
4. D) 2 146 17. C) 941
5. C) 639 18. B) 47,1626
6. A) 35 911 19. D) 7112
7. A) 112 20. C) 13790
8. C) 318 21. D) 4712
9. B) 114 22. A) 278
10.
C) 3 384 23. A) 58
11
.
A) I AND II 24. C) 8914
12
.
C) 160 25. A) RM 528.90
13
.
D) CUSTOMER 60TH
A. TESTING AND EVALUATION
10 ANALYZE TEST SCORE AND ITEMS (REFER APPENDIX 3)
1.1 Difficulty Index
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From the table in Appendix 3, I pick question 6, 10, and 21 as example to
calculate the difficulty index and discrimination index as follow:
I allot 25% of total candidates as the high score group and 25% of total
candidates as the low score group.
Number of candidate in the high score group = 25% x 52 = 13
Number of candidate in the low score group = 25% x 52 = 13
Question No. 6
DIFFICULTY INDEX
For small number of candidates For large number of candidates
Total correct answers (C) = 40
Total number of candidates (T) = 52
Difficulty Index=CT=4052=0.77
Total number with high score correct
(CH) = 12
Total number with high score correct
(CL) = 4
Total candidates (TH+L) = 26
Difficulty
Index=CH+CLT(H+L)=(12+4)26=0.6
Question No. 10
DIFFICULTY INDEX
For small number of candidates For large number of candidates
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Total correct answers (C) = 31
Total number of candidates (T) = 52
Difficulty Index=CT=3152=0.6
Total number with high score correct
(CH) = 12
Total number with high score correct
(CL) = 5
Total candidates (TH+L) = 26
Difficulty
Index=CH+CLT(H+L)=(12+5)26=0.7
Question No. 21
DIFFICULTY INDEX
For small number of candidates For large number of candidates
Total correct answers (C) = 39
Total number of candidates (T) = 52
Difficulty Index=CT=3952=0.75
Total number with high score correct
(CH) = 11
Total number with high score correct
(CL) = 6
Total candidates (TH+L) = 26
Difficulty
Index=CH+CLT(H+L)=(11+6)26=0.6
5
1.2 Discrimination Index
Question No. 6
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DIFFICULTY INDEX
For large number of candidates
Total number with high score correct (CH) = 12
Total number with high score correct (CL) = 4
Total candidates (TH+L) = 26
Difficulty Index=CH+CL12T(H+L)=(12-4)1226=0.6
2.0 INTERPRET THE OUTCOMES OF THE TEST
2.1 Cumulative Frequency Distribution: Ogive
Table 2.1 Frequency Distribution
Score (X) Frequency
92 1
88 1
84 3
80 8
72 3
68 4
64 8
60 556 3
52 6
48 3
44 2
40 2
36 1
32 2
Table 2.2 Cumulative Frequency Distribution
Score (X) Sum Cumulative
30 3+0 3
40 7+3 10
50 9+10 19
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60 17+19 36
70 3+36 39
80 12+39 51
90 1+51 52
100 0+52 52
Figure 2.1 Ogive
2.2 Percentage Ogive
Table 2.3 Cumulative Frequency and Relative (%) Cumulative Distribution
Score (X)Class limits
Frequency
Cumulativefrequency of(less than)
% cumulativefrequency
30.5-35.5 2 2 3
35.5-40.5 4 6 11.5
40.5-45.5 5 11 21
45.5-50.5 3 14 27
50.5-55.5 6 20 38.4
55.5-60.5 3 22 42.3
60.5-65.5 10 32 61.5
65.5-70.5 4 36 69
70.5-75.5 3 39 75
75.5-80.5 8 47 90
80.5-85.5 3 50 96
85.5-90.5 1 51 98
90.5-95.5 1 52 100
Figure 2.2: % Ogive2.3 Histogram
Figure 2.3: Histogram
2.4 Frequency Polygon
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Figure 2.4: Frequency Polygon
Figure 2.5: Frequency Polygon
2.5 Frequency Curve
Figure 2.6: Frequency Curve (Positive skewed curve)
2.6 Mean
2.4 Frequency distribution of ungrouped scores.
Score (X) Frequency
(F)
FX
92 1 92
88 1 88
84 3 252
80 8 640
72 3 216
68 4 272
64 8 512
60 5 300
56 3 168
52 6 312
48 3 144
44 2 88
40 2 80
36 1 36
32 2 64
F=52 FX=3264
Mean, x=FXF= 326452=62.77
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2.7 Median
Median is a value in the middle of an array of a set of data. It is values that divide
the bottom 505 of a group of data arranged is ascending order, from the top 50% of
the data.
Table 2.5 Cumulative Frequency
Score (X)Class limits
Frequency Cumulativefrequency cf
30.5-35.5 2 2
35.5-40.5 4 6
40.5-45.5 5 11
45.5-50.5 3 14
50.5-55.5 5 19
55.5-60.5 3 22 (s)(L) 60.5-65.5
10 (fm) 32
65.5-70.5 4 36
70.5-75.5 3 39
75.5-80.5 8 47
80.5-85.5 3 50
85.5-90.5 1 51
90.5-95.5 1 52
Median, M= L+N2-sfm x C
= 60.5+522-2210 x 5
= 62.5 63
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2.8 Mode
The mode is the value which has the greatest frequency, i.e. the value which occur
the most often.
Table 2.6 Frequency Distributions of grouped data
Score (X)Class limits
Frequency
30.5-35.5 2
35.5-40.5 4
40.5-45.5 5
45.5-50.5 3
50.5-55.5 6
55.5-60.5 3
60.5-65.5 10
65.5-70.5 4
70.5-75.5 3
75.5-80.5 8
80.5-85.5 3
85.5-90.5 1
90.5-95.5 1
Mode=L+ 11+2C
=60.5+ 10-310-3+10-45
=60.5+2.69
=63
2.9 Interpretations of Statistical Data
From the calculation above, I find the following:
Median =63
Mode =63
Mean =63
Modal Class HighestFrequency
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Normal Distribution Curve
Mean= Median=Mode
A. REFLECTION
10 Focused on Issues
I learned the various methods of testing and evaluation of this assignment. My first task is to
do some research about testing and evaluation. After I was finishing study the items from
this topic I was preparing my blue print test from the test specification table or JPU. From
this part I have learned how to provide the question by referring the JPU. I was deciding
what types of skills that I want to test of my students. From the Taxonomy Blooms skill level,
I can identify the question which is suitable with my students levels. The JPU help me to
divide the questions test following the skill and difficulty level of the questions. After that,
I chose the questions from various sources such as School Bank question, references book
and exercise book that will be used during the test. In this test I choose four skills which are
knowledge, comprehension, application and evaluation.
20 Analysis Issues
2.1StrengthI have been done this test of students in Form1. There are 54 students in this class,
but two of them not attend to school. The test result shows 13 of the student was
getting grade A which is they have more than 80 percent correct answer from the
test given. Only three students not pass in this test. From the result, I have do
analysis to find the difficulty index and discrimination index of the questions. I found
76 percent of indicates were achieving 0.3 to 0.8 index value. It is means the
question is suitable for test. 52 percents of test items have positive discrimination
high which is the items is very suitable and can be accepted.
In addition, I found the value of mean, median and mode have the same value which
is 63. It is shows the question the achievement or performance of the students is
varied and heterogeneous.
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2.2Weakness
There are some of the questions are too easy and too difficult.
30 Implementation
I will make improvements at the time of the test questions will come. The selection of an
appropriate question to be given to students is important to ensure that all tests carried
out effectively.
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