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"Six known tropical cyclones occurred during the season, the earliest formed on June 11 and the latest dissipated on September 30." - can you reword it to something like "Six tropical cyclones were known to have existed during the season, of which the first formed on June 11 and the final formed on September 30"?
"...which was nearly 100 years after records in the Atlantic Ocean began." Remove that, trivial and irrelevant to the season itself - previous stuff was fine
"Most of the seven tropical cyclones did not differentiate in intensity during the duration[4]," - put the ref after the comma*"While remaining far west of the Mexican coast, Two peaked as a mid-level tropical storm." - any specific info? (like HURDAT winds or pressures?)
"The first hurricane of the season developed on September 9. Hurricane Four formed 160 mi (260 km) east-southeast of Socorro Island" - merge sentences if possible, with more content from the next sentence ("tied Hurricane Six...")
"the storm was discovered as a minimal tropical storm, and did not further intensify. Failing to intensify past a minimal tropical storm, the system" - you use "intensify" just a few words later