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Based on what you have been told about IQ scores in the beginning of the problem, does this sample’s distribution seem to reflect the distribution of IQ scores in the general population? Why or why not?

01 / 10 / 2021 Assignment

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The following data represent IQ scores of a sample of
30 high school students. In the general population, IQ scores have a mean of
100 and a standard deviation of 15.

IQ Scores

123

119

104

145

108

100

115

105

60

122

105

87

98

124

80

93

89

123

118

104

112

96

85

98

105

91

113

82

124

90

a.
Generate descriptive statistics and a histogram for
this variable. Based on the data and graph, choose
1 measure of central tendency and 1 measure of dispersion (variability) that
best describes the data set. Justify why you chose these measures
in a statement beneath the output.

b.
In your data set, standardize the IQ scores by
transforming them into z-scores under a new variable “ZIQ.” Using your data set
as a reference, what z-score corresponds to a raw IQ score of 115? To a raw IQ
score of 60? To a raw IQ score of 104?

c.
Based on what you have been told about IQ scores in the
beginning of the problem, does this sample’s distribution seem to reflect the
distribution of IQ scores in the general population? Why or why not?



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