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.