The Association of Chief Psychologists with Ontario School Boards



Open Book

CONVERSION TABLE FOR DERIVED SCORES

Adapted from Howard B. Lyman, Test Scores and What They Mean, Second Edition. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1971

z-Score

(X-M)/s

T-Score

(10z + 50)

Wechsler IQ

(15z + 100)

Stanford-Binet IQ

(16z + 100)

Scaled Score

(3z + 10)

Percentile Rank

3.00

80

145

148

19

99.9

2.95

79.5

144

147

--

99.8

2.90

79

144

146

--

99.8

2.85

78.5

143

146

--

99.8

2.80

78

142

145

--

99.7

2.75

77.5

141

144

--

99.7

2.70

77

141

143

--

99.6

2.65

76.5

140

142

18

99.6

2.60

76

139

142

--

99.5

2.55

75.5

138

141

--

99.5

2.50

75

138

140

--

99.4

2.45

74.5

137

139

--

99.3

2.40

74

136

138

--

99.2

2.35

73.5

135

138

17

99.1

2.30

73

135

137

--

98.9

2.25

72.5

134

136

--

98.8

2.20

72

133

135

--

98.6

2.15

71.5

132

134

--

98.4

2.10

71

132

134

--

98.2

2.05

70.5

131

133

--

98.0

2.00

70

130

132

16

97.7

1.95

69.5

129

131

--

97.4

1.90

69

129

130

--

97.1

1.85

68.5

128

130

--

96.8

z-Score

(X-M)/s

T-Score

(10z + 50)

Wechsler IQ

(15z + 100)

Stanford-Binet IQ

(16z + 100)

Scaled Score

(3z + 10)

Percentile Rank

1.80

68

127

129

--

96.4

1.75

67.5

126

128

--

96.0

1.70

67

126

127

--

95.5

1.65

66.5

125

126

15

95.0

1.60

66

124

126

--

94.5

1.55

65.5

123

125

--

93.9

1.50

65

123

124

--

93.3

1.45

64.5

122

123

--

92.6

1.40

64

121

122

--

91.9

1.35

63.5

120

122

14

91.2

1.30

63

120

121

--

90.3

1.25

62.5

119

120

--

89.4

1.20

62

118

119

--

88.5

1.15

61.5

117

118

--

87.5

1.10

61

117

118

--

86.4

1.05

60.5

116

117

--

85.3

1.00

60

115

116

13

84.1

0.95

59.5

114

115

--

82.9

0.90

59

114

114

--

81.6

0.85

58.5

113

114

--

80.2

0.80

58

112

113

--

78.8

0.75

57.5

111

112

--

77.3

0.70

57

111

112

--

75.8

0.65

56.5

110

110

12

74.2

z-Score

(X-M)/s

T-Score

(10z + 50)

Wechsler IQ

(15z + 100)

Stanford-Binet IQ

(16z + 100)

Scaled Score

(3z + 10)

Percentile Rank

0.60

56

109

110

--

72.6

0.55

55.5

108

109

--

70.9

0.50

55

108

108

--

69.2

0.45

54.5

107

107

--

67.4

0.40

54

106

106

--

65.5

0.35

53.5

105

106

11

63.7

0.30

53

104

105

--

61.8

0.25

52.5

104

104

--

59.9

0.20

52

103

103

--

57.9

0.15

51.5

102

102

--

56.0

0.10

51

102

102

--

54.0

0.05

50.5

101

101

--

52.0

0.00

50

100

100

10

50.0

-0.05

49.5

99

99

--

48.0

-0.10

49

98

98

--

46.0

-0.15

48.5

98

98

--

44.0

-0.20

48

97

97

--

42.1

-0.25

47.5

96

96

--

40.1

-0.30

47

96

95

--

38.2

-0.35

46.5

95

94

9

36.3

-0.40

46

94

94

--

34.5

-0.45

45.5

93

93

--

32.6

-0.50

45

93

92

--

30.8

-0.55

44.5

92

91

--

29.1

z-Score

(X-M)/s

T-Score

(10z + 50)

Wechsler IQ

(15z + 100)

Stanford-Binet IQ

(16z + 100)

Scaled Score

(3z + 10)

Percentile Rank

-0.60

44

91

90

--

27.4

-0.65

43.5

90

90

8

25.8

-0.70

43

90

89

--

24.2

-0.75

42.5

89

88

--

22.7

-0.80

42

88

87

--

21.2

-0.85

41.5

87

86

--

19.8

-0.90

41

87

86

--

18.4

-0.95

40.5

86

85

--

17.1

-1.00

40

85

84

7

15.9

-1.05

39.5

84

83

--

14.7

-1.10

39

84

82

--

13.6

-1.15

38.5

83

82

--

12.5

-1.20

38

82

81

--

11.5

-1.25

37.5

81

80

--

10.6

-1.30

37

81

79

--

9.7

-1.35

36.5

80

78

6

8.8

-1.40

36

79

78

--

8.1

-1.45

35.5

78

77

--

7.4

-1.50

35

78

76

--

6.7

-1.55

34.5

77

75

--

6.1

-1.60

34

76

74

--

5.5

-1.65

33.5

75

74

5

5.0

-1.70

33

75

73

--

4.5

-1.75

32.5

74

72

--

4.0

z-Score

(X-M)/s

T-Score

(10z + 50)

Wechsler IQ

(15z + 100)

Stanford-Binet IQ

(16z + 100)

Scaled Score

(3z + 10)

Percentile Rank

-1.80

32

73

71

--

3.6

-1.85

31.5

72

70

--

3.2

-1.90

31

72

70

--

2.9

-1.95

30.5

71

69

--

2.6

-2.00

30

70

68

4

2.3

-2.05

29.5

69

67

--

2.0

-2.10

29

69

66

--

1.8

-2.15

28.5

68

66

--

1.6

-2.20

28

67

65

--

1.4

-2.25

27.5

66

64

--

1.2

-2.30

27

66

63

--

1.1

-2.35

26.5

65

62

3

0.9

-2.40

26

64

62

--

0.8

-2.45

25.5

63

61

--

0.7

-2.50

25

63

60

--

0.6

-2.55

24.5

62

59

--

0.5

-2.60

24

61

58

--

0.5

-2.65

23.5

60

58

2

0.4

-2.70

23

60

57

--

0.4

-2.75

22.5

59

56

--

0.3

-2.80

22

58

55

--

0.3

-2.85

21.5

57

54

--

0.2

-2.90

21

57

54

--

0.2

-2.95

20.5

56

53

--

0.2

-3.00

20

55

52

1

0.1


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