Descriptive Statistics

Testing of 20 randomly selected subjects yielded two sets of scores: Verbal IQ and Reading Comprehension. The table below displays the results and descriptive statistics, as well as frequency distribution charts for each variable and a scatterplot of the correlations between the two variables:

Subject

Verbal IQ

Rdg. Comp.

1

90

88

2

99

97

3

101

110

4

115

121

5

97

98

6

98

95

7

92

89

8

104

109

9

103

100

10

117

100

11

100

96

12

98

101

13

96

105

14

105

105

15

78

80

16

121

99

17

82

75

18

85

89

19

81

78

20

82

86

MEAN

97

96

MEDIAN

98

97

MODE

98

89

STD.DEV.

11.8

11.2

RANGE

43

46

CORREL VERB x RDG

0.79

MP_SNHU_withQuill_Horizstack

Please answer the following questions within the appropriate column in the table below:

I. Using the provided data and graphs, describe the frequency distribution for the IQ test:

a) What is a typical score for this sample?

b) How variable are the scores?

c) How are the scores distributed?

II. Using the provided data and graphs, describe the frequency distribution of the reading test scores:

a) What is a typical score for this sample?

b) How variable are the scores?

c) How are the scores distributed?

III. Consider the correlation data given the provided data and graph:

a) How are IQ and reading achievement related?

IV. Evaluate the data from a psychological testing perspective:

a) Are these samples good representations of the general population? How do you know?

b) What could you do to make them a more representative sample?

c) How would you interpret the correlation results?

d) What are some ways this knowledge of their relationship could be used?

Reading Comprehension Frequency Distribution

Frequency 70 80 90 100 110 120 More 0 3 4 7 6 1 0
STD SCORE

Verbal IQ Frequency Distribution

Frequency 70 80 90 100 110 120 More 0 1 4 7 4 2 1
STD SCORE

Frequency

Rdg.Compre 90 99 101 115 97 98 92 104 103 117 100 98 96 105 78 121 82 85 81 82 88 97 110 121 98 95 89 109 100 100 96 101 105 105 80 99 75 89 78 86
Verbal IQ Score

Reading Scores

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