Al-jawab billahi at-taufeeq (the answer with Allah's guidance)
To pray the Tarawih Salah individually for male and female is Sunnate Makkadah (Emphasised Sunnah) and to pray it in Jama'ah (congregation) is Sunnate Kifayah for men (Sunnate Kifayah i.e. If a person from the community fulfils the obligation of Tarawih with Jama'ah the entire community will be absolved of this sacred duty. Otherwise all the residents will be sinful of neglecting this Sunnat of our Nabi (Sallallahu Alaihi Wasallam). (Nurul Idhah Pg. 97)
The definition and Hukm (ruling) of Sunnate Muakkadah- Those worships which are neither Fard nor Wajib but which Rasulullah (Sallallahu Alaihi Wasallam) himself advised or practiced, or if he did not say anything to those who omitted them, are called Sunnate Huda or Sunnate Muakkada. It is Makruh to omit a Sunnate Muakkada. It is a venial sin. (Se'edat-e-Ebadiyya)
If a person performs Tarawih alone at home and could'nt pray it with Jama'ah due to reasons, he is allowed to and will not be sinful. (Aapke Masa'il Aur Unka Hal Vol. 3 Pg.67)
However, it is advised and recommended to pray Tarawih Salah with congregation and should not be missed without a valid reason. One should gain the Thawab (reward) during this blessed, forgiving, sacred month of Ramadhan.
"Race one with another for forgiveness from your Lord and for Paradise, whose width is as the width of the heavens and the earth, which has been prepared for those who believe in God and His messengers...." (57:21)