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Mensa is the largest high-IQ society in the world, and members must score at the 98th percentile or higher on a standardized IQ test to be eligible.
Parents Jason and Amanda McNabb said Isla learned her alphabet at the age of 18 months and was soon reading.
"At seven months of age she would pick out certain items from picture books when asked," Jason McNabb told Guinness World Records.
The parents said they enrolled Isla in Mensa in the hope of finding resources to nurture her talents.
"The biggest benefit to Mensa is the community," Jason McNabb said.