# Formulae for Transforming Raw Score

EXAMPLE FOR TRANSFORMING SCORES INTO STANDARD SCORES
First, copy theData Set 1distribution underscore. Then, use themeanandstandard deviationof Data Set 1 totransformits distribution into the followingstandard scores. (See formulae below)

Scorez-scoreT-scoreDeviation-IQSAT

1. 1001.29 62.9 ? ?
2. 98
3. 96
4. 94
5. 88
6. 87
7. 82

Formulae for into Standard Score
Z-Scorez= (X Mean)/SD = (Score minus Mean divided by standard deviation)
(10) 50 = (1.29 x 10) 50 =
Deviation-IQ Score IQ =z (15) 100
SAT Score SAT =z (100) 500

The computation of the above seven (7) distribution of scores yielded:
Mean = 92.14;Variance = 37.30;Standard Deviation = 6.11

To derive theZ score (see formula above):
Z = (100 92.14) divided (/) by Standard Deviation (6.11) = (7.86/6.11) = 1.29

NOTE:
1.Before working on the Assignment, complete the above distribution. It will help you to know what to do.
2.By substitution you solve for the Standard Scores.
3.Should you have any question, contact the lecturer at.

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