Converting Standard Scores to Percentiles and Other Scaled Scores, Summaries of Mathematics

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Appendix B

Converting Standard Scores to Percentile

Ranks and Other Scaled Scores

TABLE B. Converting Standard Scores to Percentile Ranks and Other Scaled Scores

Scaled Scores

DAP:IQ Standard Percentile Score T-score z-s(ore Stanine Rank (M = lOa, so = 15) (^) (M = 50, SO = 10) (M = 0, so = 1) (M =5, SO =2)

~

i >99^140 -^ +2.67^9

99 137 - +2.47 9

>99 136 74 +2.^40

-. 99 134 -^ +2.27^9 ..--,-

99 132 71 +2.13^9

98 131 -^ +2 .07 9

r 97 129 69 +1.

~

97 128 - +1.87 (^) 9. 97 127 68 +1.80 9 96 126 67 + 1.73 8 95 125 - +1 67 8

93 122 -^ +1.47 8

90 119 - +1.27 8 89 118 62 +1. 20 7 87 117 61 +1 .13 7 (^86) n. 1t6.. - - +1. 07 7 84 11 5 60 +1. 00 7 82 114 59 +0 .93 7 8'1 (^113) - +0.87 (^7)

79 112 58 +0.^80

77 111 57 +0.73^6

75 110 -^ +0.67^ - .. 6

73 109 56 +0.53^ 6'^

~~

1.0 108 55 +O~O 6

68 107 -^ +0.47^6

65 106 54 +0.40^6

~

61 104 - +027^6 58 103 52 +0.20^5 55 102 51 +0.13 5 53 101 - +Oll7 5

50 100 50 0 .00^5

47 99 49 -^007

45 98 -^ -0^ .13^5

(co ntinues)

TABLE C.

Converting Raw Scores to Age and Grade Equivalents

Age Equivalent

DAP:IQ

Raw Score

Grade Equivalent

<4- 4-

<K .O

<K .O

]

<K.O

<K.O

K.O

K.

7-fJ

8-

g·O

3.7 -

10- 11-

5.7 -

6..

13- 13·