Averi is a distinctive girls' name in United States, ranking #1086 in 2005 with 219 recorded births. The name reached its all-time peak in 2015 with 399 births ranking #713. Since 1996, the popularity has increased by 277.6%. In 2005, approximately 1 in every 8,437 girls born was named Averi. FALLING Recent data shows the name is currently falling.