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.

## Answer This Question

## Related Questions

- Math - Can someone explain this question? For a set of scores, will the ...
- Math - For a set of scores, will the interquartile range always be less than the...
- math - For a set of scores, will the interquartile range always be less than the...
- Math - For a set of scores, will the interquartile range always be less than the...
- statistics - The box plot below summarize the distributions of SAT verbal and ...
- Pre-calculus - Find the interquartile range and the semi-interquartile range of ...
- Math - Will the intequartile range always be less than the range for a set of ...
- Math 157 - I am having some trouble figuring out these two problems. 1. ...
- math 157 - Data on the highest and lowest number of hits by three baseball teams...
- math - Calculate the range, standard deviation, and interquartile range for the ...

More Related Questions