Posted by thomas on Wednesday, August 5, 2009 at 11:54pm.
For a set of scores, will the interquartile range always be
less than the range? Explain your answer with an example.

math  samantha, Thursday, August 6, 2009 at 1:36am
use range 3.5

math  MathMate, Thursday, August 6, 2009 at 6:50am
No, but the interquartile range will be always less than or equal to the range.
For example:
10 10 14 16 18 20 20
Here the range is 2010=10
The interquartile range is also 2010=10.
For practical sized distributions, it is quite unlikely that equality holds, but it is a possibility.
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