standardize your input list from 0 to 1 and then multiply that by
(max_newrange-min_newrange) +min_newrange
input_list=124, 345, 654, 784, 970
std = (input_list - min(input_list)) / ( max(input_list) - min(input_list))
std *( 10-1 )+1
output_list mapped from 1 to 10
1. , 3.35106383...