He attended public schools in Needham and worked in manufacturing before entering politics.

[1] Wragg served on the Needham Board of Selectmen from 1914 to 1920 and in the Massachusetts House of Representatives from 1919 to 1924.

During his tenure in the Senate, Wragg chaired the Joint Committee on Municipal Finance and the special commission on public expenditures and was a member of the rules, conservation, and public welfare committees.

[4] Moran routinely sided with the Democrats and the majority of Republican Senators voted to form a steering committee, chaired by Wragg, which would serve as the party's official organization in the Senate.

[2] Wragg secured more Republican support than floor leader Donald W. Nicholson and was elected president.