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 20-10=10

The interquartile range is also 20-10=10.

For practical sized distributions, it is quite unlikely that equality holds, but it is a possibility.

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