Averi is a distinctive girls' name in United States, ranking #1324 in 2002 with 147 recorded births. The name reached its all-time peak in 2015 with 399 births ranking #713. Since 1996, the popularity has increased by 153.4%. In 2002, approximately 1 in every 12,223 girls born was named Averi. FALLING Recent data shows the name is currently falling.