Answer to Question #137247 in Psychology for saakshi

Question

Q4. The Interpersonal Communication Competence Inventory (ICCI) was administered to a group
of 100 participants and the following data was obtained.
M = 74 and SD = 14

Convert the following raw scores on the ICCI into t-scores. Mention what steps will have to be
followed to do the conversion.

Raw scores 75, 81, 40, 55 ,90

Answer 1

STEP I: CONVERT THE RAW SCORES TO Z-SCORES

Use the formula

$Z= \dfrac{Xi -M}{SD}$

(Where Xi is the raw score, M is the mean (given), and SD is the standard deviation (given))

For example for the first score (75)

$Z=\dfrac{75-74}{14} = 0.0714$

Now do for all the scores (81,40,55,90)

Your Z values will be;

75 = 0.0714

80 =0.5

40 = -2.4286

55 = -1.3571

90 = 61.429

STEP II: CALCULATE T-SCORES BY MULTIPLYING Z-SCORE BY 10 AND THEN ADDING 50 TO THE RESULT.

T= (Z x 10) + 50

For example for 0.0714;

T = (0.0714 x 10) + 50 = 50.714

Your T- scores will be;

75 = 50.714

81 = 55.0

40 = 25.714

55 = 36.429

90 = 61.429