Yes

you do need a jacket based on the weather in San Francisco (Mission District), California, United States 1 second ago

Why? Because it's pretty chilly.
58°F14°C & Mostly Cloudy

Wind is 9 mph15 km/h from the W, gusting to 16 mph26 km/h
April 18
9pm58°F14°C9 mph15 km/h WMostly Cloudy
10pm56°F13°C8 mph14 km/h SWMostly Cloudy
11pm55°F13°C8 mph12 km/h SWMostly Cloudy
April 19
12am55°F13°C6 mph10 km/h SWMostly Cloudy
1am54°F12°C6 mph10 km/h SWMostly Cloudy
2am54°F12°C6 mph10 km/h SWMostly Cloudy
3am53°F12°C6 mph10 km/h SWMostly Cloudy
4am53°F12°C6 mph10 km/h SWMostly Cloudy
5am53°F11°C6 mph10 km/h SWMostly Cloudy
6am52°F11°C7 mph11 km/h SWMostly Cloudy
7am52°F11°C6 mph10 km/h SWMostly Cloudy
8am52°F11°C6 mph10 km/h SWCloudy
DateLowHighWindDayNight
April 1851°F11°C67°F19°C6 mph9 km/h from WPartly CloudyMostly Cloudy
April 1951°F11°C62°F16°C9 mph14 km/h from SWMostly ClearPartly Cloudy
April 2052°F11°C65°F18°C10 mph16 km/h from WMostly ClearClear
April 2151°F11°C66°F19°C6 mph9 km/h from WMostly ClearMostly Clear
April 2252°F11°C65°F18°C9 mph14 km/h from SWMostly ClearPartly Cloudy
April 2353°F12°C61°F16°C13 mph20 km/h from SWMostly CloudyPartly Cloudy
April 2452°F11°C59°F15°C11 mph17 km/h from SWPartly CloudyPartly Cloudy

Yes

Low of 52°F11°C, High of 62°F17°C
Wind: 9 mph14 km/h
Precipitation: None

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