Assignment for Transforming Data Sets 1 & 2 into Standard Scores
Candyy31
ED503E01SummerII2020-21TRANSFORMINGSCORESINTOSTANDARDSCORES7-5-211.docxNOTE: To complete the DATA SET 1 Transformation to standard scores, transfer the DATA Set 1 Scores you used in the calculation of Standard Deviation assignment to the score below.
TRANSFORMING SCORES INTO STANDARD SCORES
First, copy the Data Set 1 distribution under score. Then, use the mean and standard deviation of Data Set 1 to transform its distribution into the following standard scores. (See formulae below)
Score z-score T-score Deviation-IQ SAT
1. 100
2. 98
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20. 54
Formulae for Transforming Raw Score Into Standard Score
Z-Score z = (X– Mean)/sd = (Score minus Mean divided by standard deviation)
T-Score T =z (10) + 50
Deviation-IQ Score IQ =z (15) + 100
SAT Score SAT =z (100) + 500
TRANSFORMING SCORES INTO STANDARD SCORES
First, copy the Data Set 2 distribution under score. Then, use the mean and standard deviation of Data Set 1 to transform its distribution into the following standard scores. (See formulae below)
Score z-score T-score Deviation-IQ SAT
98
96
87
78
77
76
75
75
75
75
75
74
74
73
73
73
72
71
71
70
Formulae for Transforming Raw Score Into Standard Score
Z-Score z = (X– Mean)/sd = (Score minus Mean divided by standard deviation)
T-Score T =z (10) + 50
Deviation-IQ Score IQ =z (15) + 100
SAT Score SAT =z (100) + 500
