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Learning
Experiences
Evaluation
Objectives
 AN INSTRUMENT OR EXAMINATION USED
TO MEASURE
ABLITIES,KNOWLEDGE,APTITUDE OR
QUALIFICATION. A SET OF QUESTIONS OR
EXERCISE OR PROBLEMS
The process of quantifying
observations about a quality
or attribute of a thing or
person.
In general, it is an act or a
process that allows one to
make a judgment about the
desirability or value of a
measure
 A) For grading, promoting students and
reporting parents.
 B) To evaluate effectiveness of curricular
experiences and instructional methods.
 C) For building growth of the pupils,
diagnosing their weakness for providing
remedial measures.
 D) To motivate pupils for better attainment.
EVALUATION=
MEASUREMENT+
VALUE JUDGEMENT
 FORMATIVE EVALUATION
 SUMMATIVE EVALUATION
 CHARACTERISTICS OF GOOD TEST
VALIDITY
RELIABILITY
OBJECTIVITY
ACHIEVEMENT TEST
DIAGNOSTIC TEST
Objective-type tests
Short-Answer type tests
Essay-Type tests
 WEIGHTAGE TO THE OBJECTIVES
 WEIGHTAGE TO THE CONTENT
 WEIGHTAGE TO THE QUESTIONS
BLUE PRINT
KNOWLEDGE
UNDERSTANDING
APPLICATION
SKILL
QUESTION PAPER
ANSWER/SCORING KEY
 Mean
 Median
 Mode
Method 1
C.I. f Mid Point (x) d=(x-A)/i fd
0 - 10 3 5 - 4 -12
10 - 20 5 15 - 3 -15
20 - 30 1 25 - 2 -2
30 – 40 5 35 -1 -5
40 – 50 2 A 0 0
50 – 60 4 55 1 4
60 – 70 7 65 2 14
70 – 80 6 75 3 18
80 – 90 9 85 4 36
90 - 100 4 95 5 20
Total 46 92-34=58
45
Mean = A + ( ∑ fd / ∑ f ) x i
= 45 + (58 / 46) x10
= 45 + 12.61
= 57.61
C.I. f cf
0 - 10 3 3
10 - 20 5 8
20 - 30 1 9
30 – 40 5 14
40 – 50 2 16
50 – 60 4 20
60 – 70 7 27
70 – 80 6 33
80 – 90 9 42
90 - 100 4 46
Total 46
 N / 2 = 46 / 2 = 23
 Median = L + ( (N/2 – cf) / f) x i
= 60 + ( (23 – 20) / 7) x 10
= 60 + (30 / 7)
= 60 + 4.29 = 64.29
Median value lies in the Median Class
 Mode = 3 (Median) – 2 (Mean)
= 3 (64.29) – 2 (57.61)
= 192.87 – 115.22
= 77.65
Mean, Median and Mode will be either in the
ascending or descending order.
 MEAN < MEDIAN < MODE
 MEAN > MEDIAN > MODE
 MEAN = MEDIAN = MODE
 RANGE
 QUARTILE DEVIATION
 MEAN DEVIATION
 STANDARD DEVIATION
 Range = Highest Value – Lowest Value
C.I. f cf
0 - 10 3 3
10 - 20 5 8
20 - 30 1 9
30 – 40 5 14
40 – 50 2 16
50 – 60 4 20
60 – 70 7 27
70 – 80 6 33
80 – 90 9 42
90 - 100 4 46
Total 46
Q1 = L + ( (N/4 – cf) / f) x i
= 30 + ( (11.5– 9) / 5) x 10
= 30 + (25 / 5)
= 30 + 5 = 35
Q3 = L + ( (3N/4 – cf) / f) x i
= 80 + ( (34.5– 33) / 9) x 10
= 80 + (15 / 9)
= 80 + 1.667 = 81.667
 Quartile Deviation
Q.D. = (Q3 – Q1) / 2
= (81.667 – 35) / 2
= 46.667 / 2
= 23.334
C.I. f Mid Point (x) d = x – x
= x– 57.61
fd |fd|
0 - 10 3 5 - 52.61 - 157.83 157.83
10 - 20 5 15 - 42.61 - 213.05 213.05
20 - 30 1 25 - 32.61 - 32.61 32.61
30 – 40 5 35 - 22.61 - 113.05 113.05
40 – 50 2 45 - 12.61 - 25.22 25.22
50 – 60 4 55 - 2.61 - 10.44 10.44
60 – 70 7 65 7.39 51.73 51.73
70 – 80 6 75 17.39 104.34 104.34
80 – 90 9 85 27.39 246.51 246.51
90 - 100 4 95 37.39 149.56 149.56
Total 46 1104.34
Average Deviation = ( ∑ |fd| ) /N
= 1104.34 / 46
= 24.007
C.I. f Mid Point (x) d=(x-A)/i fd d2 fd2
0 - 10 3 5 - 4 -12 16 48
10 - 20 5 15 - 3 -15 9 45
20 - 30 1 25 - 2 -2 4 4
30 – 40 5 35 -1 -5 1 5
40 – 50 2 A 0 0 0 0
50 – 60 4 55 1 4 1 4
60 – 70 7 65 2 14 4 28
70 – 80 6 75 3 18 9 54
80 – 90 9 85 4 36 16 144
90 - 100 4 95 5 20 25 100
Total 46 92-34=58 432
45
 SD = i x √((∑fd2 / N) – (∑fd / N)2)
= 10 x√((432 / 46) – (58 / 46)2)
= 10 x√( 9.391 – 1.589)
= 10 x √7.802 = 10 x 2.793
= 27.93
QD ≤ MD ≤ SD
QD ≤ MD ≤ SD
Marks in
English
Marks in
Maths
R1 R2 d = R1 - R2 d2
62 64 2.5 4 -1.5 2.25
78 73 1 2 -1 1
56 55 6 5.5 0.5 0.25
35 39 9 9 0 0
62 73 2.5 2 0.5 0.25
58 55 4 5.5 -1.5 2.25
39 45 8 8 0 0
45 73 7 2 5 25
57 50 5 7 -2 4
17 21 10 10 0 0
Total
∑d = 6 – 6 =0
35
= 1 – (210 / 990)
= 1 – 0.21
= 0.79
Positive Correlation
ℓ = 1 – (( 6∑d2) / N (N2 – 1))
20
49
90
0
10
20
30
40
50
60
70
80
90
100
A B C
Series1
0
1
2
3
4
5
6
Category 1 Category 2 Category 3 Category 4
Series 1
Series 2
Series 3
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Category 1 Category 2 Category 3 Category 4
Series 3
Series 2
Series 1
0
0.5
1
1.5
2
2.5
3
3.5
0 0.5 1 1.5 2 2.5 3
Y-Values
Y-Values
0
10
20
30
40
50
60
70
80
90
100
110
1 2 3 4 5 6 7 8 9 10
Upper Limit
%
of
cf
Series1
THANK YOU

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TEST & MEASUREMENT.pptx