An Illinois state program evaluator is tasked with studying the intelligence of soon-to-graduate high school students...

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An Illinois state program evaluator is tasked with studying theintelligence of soon-to-graduate high school students in a numberof Chicago-area high schools.

One of the specific questions that needs to be answered is, “Howdo the students of Collins High School, one of Chicago’slowest-rated high schools in terms of academic achievement, fare inintelligence compared to students of Lincoln Park High School, oneof Chicago’s highest-rated high schools in terms of academicachievement?”.

To conduct this study, the program evaluator administers theWechsler Adult Intelligence Scale, 4th Edition (WAIS-IV)to one 12th grade class from each high school in the Chicago area(if you are interested in learning more about the WAIS-IV, clickhere).

The following table shows the WAIS-IV scores for student fromCollins HS and Lincoln Park HS (note: data were fabricated forpurposes of this excersize):

Collins HS

Lincoln Park HS

Student

WAIS-IV Score

Student

WAIS-IV Score

1

105

1

93

2

81

2

90

3

102

3

87

4

90

4

109

5

95

5

106

6

110

6

104

7

90

7

109

8

100

8

104

9

80

9

115

10

90

10

112

11

84

11

112

12

81

12

100

13

90

13

97

14

107

14

90

15

101

15

104

16

90

16

107

17

101

First, complete the below grouped frequency table of WAIS-IVscores for each HS:

WAIS-IV Score

Collins HS ( f )

Lincoln Park HS ( f )

80-89

90-99

100-109

110-119

Compute the appropriate calculations to complete the followingtable :

MEASURE

Collins HS ( f)

Lincoln Park HS ( f)

Mean

Median

Mode

N

N-1

?X

(?X)2

?X2

S2X

SX

s2X

sX

What is the shape of the distribution of intelligence scores(normal, negatively skewed, positively skewed) for Collins HS?Explain how you arrived at your answer.

What is the shape of the distribution of intelligence scores(normal, negatively skewed, positively skewed) for Lincoln Park HS?Explain how you arrived at your answer.

Answer & Explanation Solved by verified expert
3.6 Ratings (307 Votes)
Based on the given data using excelThe frequency table may be created as followsThus counting the coloredcells would give the required frequenciesMeasures Mean Sum of the observation value Total no ofobservationsFor CollinsMean 935Similarly for Lincoln Park Mean 1024 MedianIt is the middle no of the sorted series of observationsFor Collins the sorted series    See Answer
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