He can jump farth than the other students.

any other 是对的
any other的用法,是指在同一范围内除了某人或某物以外的其他人或事物,any other后跟单数名词,也可以说any of the other+复数名词.如：
1,Tom runs faster than any other student(或any of the other students)in his class.
汤姆比他班上的任何人都跑得快.
2,Shanghai is langer than other city in China.
上海比中国的任何一个城市都大.