Hi. I am teaching educational statistics for the first time, and although I
can go on at length about complex statistical techniques, I find myself at a
loss with this multiple choice question in my test bank. I understand why
the range of (b) is smaller than (a) and (c), but I can't figure out how to
prove that it is smaller than (d).
If you can explain it to me, I will be humiliated, but grateful.
1. Which one of the following classes had
the smallest range in IQ scores?
A) Class A has a mean IQ of 106
and a standard deviation of ll.
B) Class B has an IQ range from 93
to 119.
C) Class C has a mean IQ of 110
with a variance of 200.
D) Class D has a median IQ of 100
with Q1 = 90 and Q3 = 110.
The test bank says the answer is b.
Melady
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