Left-handed people display quite a different pattern of brain organization from right-handers.
(D) a pattern of brain organization that
is quite different from right-handers'
(E) a pattern of brain organization quite different from that of right-handers
question compares the pattern of BO of left handers and right handers, use of word "that" conveys that the BO is different but we need the patterns. hence its wrong.
Practice Practice and practice...!!
If my reply /analysis is helpful-->please press KUDOS
If there's a loophole in my analysis--> suggest measures to make it airtight.