Question

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?

Answer 1

You can pick values if you want to. Though take account in how to get Interquartile range:
\[IQr=Q _{3}-Q _{1}\] or upper quartile - lower quartile.
Following what the statement says, they admit for X:
8-1=7
For Y:
7-2=5
The IQr are different, hence the statement is False.

Answer 2

Yay thanks!