Data set X and data set Y both have the same interquartile range. If the first quartile of data set X is less than the first quartile of data set Y, then the third quartile of data set X is greater than the third quartile of data set Y. True or False?

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Data set X and data set Y both have the same interquartile range. If the first quartile of data set X is less than the first quartile of data set Y, then the third quartile of data set X is greater than the third quartile of data set Y. True or False?

Algebra
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I think it would be true, because if the IQR is the same, then the whole data set are the same size, therefore if one side is less, the opposite side is naturally greater.
Turns out it was false! In this occasion, what is less stays less!
Oh wow. Well, sorry. Lol, this is why I use this site for help on my tests xD

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LOL It's okay!! Same though, oh man. I'm in a spot now! ;)

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