Averi is a distinctive girls' name in United States, ranking #1122 in 2003 with 196 recorded births. The name reached its all-time peak in 2015 with 399 births ranking #713. Since 1996, the popularity has increased by 237.9%. In 2003, approximately 1 in every 9,322 girls born was named Averi. FALLING Recent data shows the name is currently falling.