Averi is a distinctive girls' name in United States, ranking #1396 in 2001 with 136 recorded births. The name reached its all-time peak in 2015 with 399 births ranking #713. Since 1996, the popularity has increased by 134.5%. In 2001, approximately 1 in every 13,239 girls born was named Averi. FALLING Recent data shows the name is currently falling.