IQ Scores for freshman students at two colleges (College A and College B) were a

Question

IQ Scores for freshman students at two colleges (College A and College B) were analyzed and resulted in the following Five Number Summaries:

College A:           Minimum:101        Q1:105          Median:115            Q3:120        Maximum:140

College B:           Minimum:99          Q1:105          Median:120            Q3:135        Maximum:145

1) Which College has the greater range of IQ scores?
A. College A
B. College B
C. Both have the same amount of range
D. It is impossible to tell from the information provided

2) Which College has the smaller percentage of students with IQs of 115 or higher?
A. College A
B. College B
C. Both have the same amount
D. It is impossible to tell from the information provided

3) Which college has the greatest percentage of students with IQs of 110 or higher?
A. College A
B. College B
C. Both have the same amount of range
D. It is impossible to tell from the information provided

Explanation / Answer

a) The range for A is (140-101)=39 and range for B is (145-99)=46

b) For IQs over 115, for A: 120-115=5, thus it is closer to 120 and for B it is 135-115=20, College A is the right answer

c) For IQs over 110, for A: 120-110=10 and for B it is 135-110=25. Thus B is right

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