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Score Conversion Tables for Commonly Used Tests 

 

All Wechsler Scales, all Woodcock tests,1 all Kaufman Tests, Most Tests Published by American Guidance Service, Pro-Ed,2 Riverside, the Psychological Corporation, and Many Others

Z-scores (z), Percentile Ranks (PR), Standard Scores (SS) (Mean = 100, s.d. = 15),  Scaled Scores (ss) (Mean = 10, s.d. = 3), and Stanines (9)

 

Z

PR

SS

ss

9

 

z

PR

SS

ss

9

 

z

PR

SS

ss

9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

+4.00

99.9

160

 

 

 

+1.33

91

120

14

8

 

-1.40

08

79

 

 

 

+3.93

99.9

159

 

 

 

+1.27

90

119

 

 

 

-1.47

07

78

 

 

 

+3.87

99.9

158

 

 

 

+1.20

88

118

 

 

 

-1.53

06

77

 

2

 

+3.80

99.9

157

 

 

 

+1.13

87

117

 

 

 

-1.60

05

76

 

 

 

+3.73

99.9

156

 

 

 

+1.07

86

116

 

 

 

-1.67

05

75

5

 

 

+3.67

99.9

155

 

 

 

+1.00

84

115

13

7

 

-1.73

04

74

 

 

 

+3.60

99.9

154

 

 

 

+0.93

82

114

 

 

 

-1.80

04

73

 

 

 

+3.53

99.9

153

 

 

 

+0.87

81

113

 

 

 

-1.87

03

72

 

 

 

+3.47

99.9

152

 

 

 

+0.80

79

112

 

 

 

-1.93

03

71

 

 

 

+3.40

99.9

151

 

 

 

+0.73

77

111

 

 

 

-2.00

02

70

4

 

 

+3.33

99.9

150

 

 

 

+0.67

75

110

12

 

 

-2.07

02

69

 

 

 

+3.27

99.9

149

 

 

 

+0.60

73

109

 

 

 

-2.13

02

68

 

 

 

+3.20

99.9

148

 

 

 

+0.53

70

108

 

6

 

-2.20

01

67

 

 

 

+3.13

99.9

147

 

 

 

+0.47

68

107

 

 

 

-2.27

01

66

 

 

 

+3.07

99.9

146

 

 

 

+0.40

66

106

 

 

 

-2.33

01

65

3

 

 

+3.00

99.9

145

19

 

 

+0.33

63

105

11

 

 

-2.40

01

64

 

 

 

+2.93

99.8

144

 

 

 

+0.27

61

104

 

 

 

-2.47

01

63

 

 

 

+2.87

99.8

143

 

 

 

+0.20

58

103

 

 

 

-2.53

01

62

 

 

 

+2.80

99.7

142

 

9

 

+0.13

55

102

 

 

 

-2.60

0.5

61

 

1

 

+2.73

99.7

141

 

 

 

+0.07

53

101

 

 

 

-2.67

0.4

60

2

 

 

+2.67

99.6

140

18

 

 

0.00

50

100

10

5

 

-2.73

0.3

59

 

 

 

+2.60

99.5

139

 

 

 

-0.07

47

99

 

 

 

-2.80

0.3

58

 

 

 

+2.53

99

138

 

 

 

-0.13

45

98

 

 

 

-2.87

0.2

57

 

 

 

+2.47

99

137

 

 

 

-0.20

42

97

 

 

 

-2.93

0.2

56

 

 

 

+2.40

99

136

 

 

 

-0.27

39

96

 

 

 

-3.00

0.1

55

1

 

 

+2.33

99

135

17

 

 

-0.33

37

95

9

 

 

-3.07

0.1

54

 

 

 

+2.27

99

134

 

 

 

-0.40

34

94

 

 

 

-3.13

0.1

53

 

 

 

+2.20

99

133

 

 

 

-0.47

32

93

 

4

 

-3.20

0.1

52

 

 

 

+2.13

98

132

 

 

 

-0.53

30

92

 

 

 

-3.27

0.1

51

 

 

 

+2.07

98

131

 

 

 

-0.60

27

91

 

 

 

-3.33

0.1

50

 

 

 

+2.00

98

130

16

 

 

-0.67

25

90

8

 

 

-3.40

0.1

49

 

 

 

+1.93

97

129

 

 

 

-0.73

23

89

 

 

 

-3.47

0.1

48

 

 

 

+1.87

97

128

 

 

 

-0.80

21

88

 

 

 

-3.53

0.1

47

 

 

 

+1.80

96

127

 

 

 

-0.87

19

87

 

 

 

3.60

0.1

46

 

 

 

+1.73

96

126

 

 

 

-0.93

18

86

 

 

 

-3.67

0.1

45

 

 

 

+1.67

95

125

15

 

 

-1.00

16

85

7

3

 

-3.73

0.1

44

 

 

 

+1.60

95

124

 

 

 

-1.07

14

84

 

 

 

-3.80

0.1

43

 

 

 

+1.53

94

123

 

8

 

-1.13

13

83

 

 

 

-3.87

0.1

42

 

 

 

+1.47

93

122

 

 

 

-1.20

12

82

 

 

 

-3.93

0.1

41

 

 

 

+1.40

92

121

 

 

 

-1.27

10

81

 

 

 

-4.00

0.1

40

 

 

 

 

 

 

 

 

 

-1.33

09

80

6

2

 

 

 

 

 

 

                1.  Tests of which Dr. Woodcock is author or co-author separately compute Standard Scores and Percentile Ranks, so these will not be the precise relationships between Standard Scores and Percentile Ranks.

                2.  Tests published by Pro-Ed call these Standard Scores “quotients,” and these Scaled Scores “Standard Scores”  (which they are, although that is not the common usage).

Differential Ability Scales and Other Tests Using T scores1

 Z-scores (z), Percentile Ranks (PR), Standard Scores (General Conceptual Ability -- GCA) (mean = 100, s.d. = 15), T Scores (T) (mean = 50, s.d. = 10), and Stanines (9)

 

z

PR

GCA

T

9

 

z

PR

GCA

T

9

 

z

PR

GCA

T

9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

36

 

 

+4.00

99.9

160

90

 

 

+1.33

91

120

 

8

 

-1.40

08

79

36

 

 

+3.93

99.9

159

 

 

 

+1.27

90

119

 

 

 

-1.47

07

78

 

 

 

+3.87

99.9

158

 

 

 

+1.20

88

118

62

 

 

-1.53

06

77

 

2

 

+3.80

99.9

157

88

 

 

+1.13

87

117

 

 

 

-1.60

05

76

34

 

 

+3.73

99.9

156

 

 

 

+1.07

86

116

 

 

 

-1.67

05

75

 

 

 

+3.67

99.9

155

 

 

 

+1.00

84

115

60

7

 

-1.73

04

74

 

 

 

+3.60

99.9

154

86

 

 

+0.93

82

114

 

 

 

-1.80

04

73

32

 

 

+3.53

99.9

153

 

 

 

+0.87

81

113

 

 

 

-1.87

03

72

 

 

 

+3.47

99.9

152

 

 

 

+0.80

79

112

58

 

 

-1.93

03

71

 

 

 

+3.40

99.9

151

84

 

 

+0.73

77

111

 

 

 

-2.00

02

70

30

 

 

+3.33

99.9

150

 

 

 

+0.67

75

110

 

 

 

-2.07

02

69

 

 

 

+3.27

99.9

149

 

 

 

+0.60

73

109

56

 

 

-2.13

02

68

 

 

 

+3.20

99.9

148

82

 

 

+0.53

70

108

 

6

 

-2.20

01

67

28

 

 

+3.13

99.9

147

 

 

 

+0.47

68

107

 

 

 

-2.27

01

66

 

 

 

+3.07

99.9

146

 

 

 

+0.40

66

106

54

 

 

-2.33

01

65

 

 

 

+3.00

99.9

145

80

 

 

+0.33

63

105

 

 

 

-2.40

01

64

26

 

 

+2.93

99.8

144

 

 

 

+0.27

61

104

 

 

 

-2.47

01

63

 

 

 

+2.87

99.8

143

 

 

 

+0.20

58

103

52

 

 

-2.53

01

62

 

 

 

+2.80

99.7

142

78

9

 

+0.13

55

102

 

 

 

-2.60

0.5

61

24

1

 

+2.73

99.7

141

 

 

 

+0.07

53

101

 

 

 

-2.67

0.4

60

 

 

 

+2.67

99.6

140

 

 

 

0.00

50

100

50

5

 

-2.73

0.3

59

 

 

 

+2.60

99.5

139

76

 

 

-0.07

47

99

 

 

 

-2.80

0.3

58

22

 

 

+2.53

99

138

 

 

 

-0.13

45

98

 

 

 

-2.87

0.2

57

 

 

 

+2.47

99

137

 

 

 

-0.20

42

97

48

 

 

-2.93

0.2

56

 

 

 

+2.40

99

136

74

 

 

-0.27

39

96

 

 

 

-3.00

0.1

55

20

 

 

+2.33

99

135

 

 

 

-0.33

37

95

 

 

 

-3.07

0.1

54

 

 

 

+2.27

99

134

 

 

 

-0.40

34

94

46

 

 

-3.13

0.1

53

 

 

 

+2.20

99

133

72

 

 

-0.47

32

93

 

4

 

-3.20

0.1

52

18

 

 

+2.13

98

132

 

 

 

-0.53

30

92

 

 

 

-3.27

0.1

51

 

 

 

+2.07

98

131

 

 

 

-0.60

27

91

44

 

 

-3.33

0.1

50

 

 

 

+2.00

98

130

70

 

 

-0.67

25

90

 

 

 

-3.40

0.1

49

16

 

 

+1.93

97

129

 

 

 

-0.73

23

89

 

 

 

-3.47

0.1

48

 

 

 

+1.87

97

128

 

 

 

-0.80

21

88

42

 

 

-3.53

0.1

47

 

 

 

+1.80

96

127

68

 

 

-0.87

19

87

 

 

 

3.60

0.1

46

14

 

 

+1.73

96

126

 

 

 

-0.93

18

86

 

 

 

-3.67

0.1

45

 

 

 

+1.67

95

125

 

 

 

-1.00

16

85

40

3

 

-3.73

0.1

44

 

 

 

+1.60

95

124

66

 

 

-1.07

14

84

 

 

 

-3.80

0.1

43

12

 

 

+1.53

94

123

 

8

 

-1.13

13

83

 

 

 

-3.87

0.1

42

 

 

 

+1.47

93

122

 

 

 

-1.20

12

82

38

 

 

-3.93

0.1

41

 

 

 

+1.40

92

121

64

 

 

-1.27

10

81

 

 

 

-4.00

0.1

40

10

 

 

 

 

 

 

 

 

-1.33

09

80

 

2

 

 

 

 

 

 

1.  Odd-numbered T scores fall between Standard Scores.  For instance, a T score of 49 is equivalent to a z-score of   -0.10, and a standard score of 98.5

Stanford-Binet Intelligence Scale, 4th ed. and Other Tests Using Standard Scores with a Mean of 100 and SD 16

Z-scores (z), Percentile Ranks (PR), Composite and Area Standard Scores (SAS[1]) (Mean = 100 s.d. = 16), Subtest Standard Scores (sas) (Mean = 50, s.d. = 8), and Stanines (9)

 

Z

PR

SAS

sas

9

 

z

PR

SAS

sas

9

 

z

PR

SAS

sas

9

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

+4.00

99.9

164

82

 

 

+1.31

91

121

61

8

 

-1.38

08

78

39

 

 

+3.94

99.9

163

82

 

 

+1.25

89

120

60

 

 

-1.44

08

77

39

2

 

+3.88

99.9

162

81

 

 

+1.19

88

119

60

 

 

-1.50

07

76

38

 

 

+3.81

99.9

161

81

 

 

+1.13

87

118

59

 

 

-1.56

06

75

38

 

 

+3.75

99.9

160

80

 

 

+1.06

86

117

59

 

 

-1.63

05

74

37

 

 

+3.69

99.9

159

80

 

 

+1.00

84

116

58

7

 

-1.69

05

73

37

 

 

+3.63

99.9

158

79

 

 

+0.94

83

115

58

 

 

-1.75

04

72

36

 

 

+3.56

99.9

157

79

 

 

+0.88

81

114

57

 

 

-1.81

04

71

36

 

 

+3.50

99.9

156

78

 

 

+0.81

79

113

57

 

 

-1.88

03

70

35

 

 

+3.44

99.9

155

78

 

 

+0.75

77

112

56

 

 

-1.94

03

69

35

 

 

+3.38

99.9

154

77

 

 

+0.69

75

111

56

 

 

-2.00

02

68

34

 

 

+3.31

99.9

153

77

 

 

+0.63

73

110

55

 

 

-2.06

02

67

34

 

 

+3.25

99.9

152

76

 

 

+0.56

71

109

55

 

 

-2.13

02

66

33

 

 

+3.19

99.9

151

76

 

 

+0.50

69

108

54

6

 

-2.19

01

65

33

 

 

+3.13

99.9

150

75

 

 

+0.44

67

107

54

 

 

-2.25

01

64

32

 

 

+3.06

99.9

149

75

9

 

+0.38

65

106

53

 

 

-2.31

01

63

32

 

 

+3.00

99.9

148

74

 

 

+0.31

62

105

53

 

 

-2.38

01

62

31

 

 

+2.94

99.8

147

74

 

 

+0.25

60

104

52

 

 

-2.44

01

61

31

 

 

+2.88

99.8

146

73

 

 

+0.19

57

103

52

 

 

-2.50

01

60

30

 

 

+2.81

99.8

145

73

 

 

+0.13

55

102

51

 

 

-2.53

01

59

30

 

 

+2.75

99.7

144

72

 

 

+0.06

52

101

51

 

 

-2.63

0.4

58

29

 

 

+2.69

99.6

143

72

 

 

0.00

50

100

50

5

 

-2.69

0.4

57

29

 

 

+2.63

99.6

142

71

 

 

-0.06

48

99

50

 

 

-2.75

0.3

56

28

 

 

+2.56

99

141

71

 

 

-0.13

45

98

49

 

 

-2.81

0.3

55

28

1

 

+2.50

99

140

70

 

 

-0.19

43

97

49

 

 

-2.88

0.2

54

27

 

 

+2.44

99

139

70

 

 

-0.25

40

96

48

 

 

-2.94

0.2

53

27

 

 

+2.38

99

138

69

 

 

-0.31

38

95

48

 

 

-3.00

0.1

52

26

 

 

+2.31

99

137

69

 

 

-0.38

35

94

47

 

 

-3.06

0.1

51

26

 

 

+2.25

99

136

68

 

 

-0.44

33

93

47

4

 

-3.13

0.1

50

25

 

 

+2.19

99

135

68

 

 

-0.50

31

92

46

 

 

-3.19

0.1

49

25

 

 

+2.13

98

134

67

 

 

-0.56

29

91

46

 

 

-3.25

0.1

48

24

 

 

+2.06

98

133

67

 

 

-0.63

27

90

45

 

 

-3.31

0.1

47

24

 

 

+2.00

98

132

66

 

 

-0.69

25

89

45

 

 

-3.38

0.1

46

23

 

 

+1.94

97

131

66

 

 

-0.75

23

88

44

 

 

-3.44

0.1

45

23

 

 

+1.88

97

130

65

 

 

-0.81

21

87

44

 

 

-3.50

0.1

44

22

 

 

+1.81

96

129

65

 

 

-0.88

19

86

43

 

 

-3.56

0.1

43

22

 

 

+1.75

96

128

64

 

 

-0.94

17

85

43

3

 

-3.63

0.1

42

21

 

 

+1.69

95

127

64

 

 

-1.00

16

84

42

 

 

-3.69

0.1

41

21

 

 

+1.63

95

126

63

 

 

-1.06

14

83

42

 

 

-3.75

0.1

40

20

 

 

+1.56

94

125

63

 

 

-1.13

13

82

41

 

 

-3.81

0.4

39

20

 

 

+1.50

93

124

62

8

 

-1.19

12

81

41

 

 

-3.88

0.1

38

19

 

 

+1.44

92

123

62

 

 

-1.25

11

80

40

 

 

-3.94

0.1

37

19

 

 

+1.38

92

122

61

 

 

-1.31

09

79  

40

2

 

-4.00

0.1

36

18

 


[1] Despite having different means and standard deviations, the Stanford-Binet Intelligence Scale, 4th ed. uses the same term - Standard Age Scores - to refer to the scores obtained on both the individual tests and the area composite scores.  We use capitalized “SAS” to refer to the area composite score and the lower case “sas” to refer to the individual test score.

To download the template press here.

See also  Mather, N., & Jaffe, L. E. (in press) Score Equivalents and Classification Labels