Appendix B Converting Standard Scores to Percentile Ranks and Other Scaled Scores 43 TABLE B.1 Converting Standard
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Appendix B
Converting Standard Scores to Percentile Ranks and Other Scaled Scores
43
TABLE B.1
Converting Standard Scores to Percentile Ranks and Other Scaled Scores Scaled Scores
Percentile Rank
DAP:IQ Standard Score (M = lOa, so =15)
>99 >99 >99 >99
>99 >99
i
>99 >99
>99 >99 -
r
.
99 99
T-score (M =50, SO =10)
z-s(ore (M =0, so =1)
145 144 143 142 141 140 139 138 137
80
+3.00
79 78 77
+2.93
136
74 73
135 134 133 132 131 130 129
99 99 98 98
97
76 75
72
71 -
70
69
128
-
68 67
66
94 93 92
127 126 125 124 123 122 121
91
120
63
90 89 87
119 118 117
62 61
97 97 96 95
95
86 84 82 8'1
79 77 75 73
1.0 68 65
63 61 58 55
53 50 47 45
n.
+2.87 +2.80 +2.73 +2.67 +2.60 +2.53 +2.47 +2 .40 +2 .33 +2.27 +2.20 +2.13 +2 .07 +2.00 +1.90 +1.87 +1.80 + 1.73 +1 67 +1.60 + 1.53 +1.47 +140 +1 .33 +1.27 +1 .20 +1 .13 +1 .07 +1 .00 +0 .93 +0.87 +0.80 +0.73 +0.67 +0.53
65 -
64
-
1t6..
--
11 5 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 99 98
60 59 -
58 57 -
56
+O~O
55 54 53 52 51
+0.47 +0.40 +0.33 +027 +0.20 +0.13
-
+Oll7
50 49
0 .00 - 007 -0.13
-
-
Stanine (M =5, SO =2)
-
9 9 9 9 9
~
9 9 9
.--
9 9
9
9
9
..--,-
9
9
9
9
~
9. 9 8 8
8 8 8 8 8 8 7 7 7 7 7 7
7
..
-
6 6 6' 6 6 6
~~
~
6
6 5 5 5 5 5 5 (continues)
44
-~---- -
...
-
-
- - -
TABLE B.1
Continued. Scaled Scores
Percentile Rank
42 39 37 35 32 39 27 25
23 21 19 18 16 14 13 12
. ~
1
DAP:IQ Stan dard Score (M = 100, SO = 15)
T-score
z-score
(M = 50, SO = 10)
(M = 0, SO = 1)
97
48
96
47
- 0.20 - 0.27 -0.33 -0.40 -0.47 -0.53 -0.60 -0.67 -0.73 -0.80 -0.87 -0.93 -1 .00 - 1.07 -1 .13 -1 .20 - 1.27 - 1.33 -1.40 -1 .47 -1.53 -1. 60 -1.67 -1.73 -1 .80 - 1.87 -1.93 -2.00 ":2.07 -2.13 -2.20 -2 .27 -2 .33 - 2.40 -2 .47 - 2.53 -2.60 -2 .67 -2.73 -2.80 -2 .87 --2.93 -3.00
95 94 93 92 91 90
89 88 87 86 85 84 83 82
""
46 45 44 43
42 41 40 39 -
10
81
38 37
9
80 79 78
36 35
8 7 6 5 5 4 3 3 . 3 2 1 'I 1 1