Yes

you do need a jacket based on the weather in Washington (Northwest Washington), District of Columbia, United States 5 minutes ago

Why? Because it's pretty chilly and there are strong winds blowing out there!
58°F15°C & Cloudy

Wind is 12 mph19 km/h from the North, gusting to 28 mph45 km/h
October 13
1pm59°F15°C12 mph20 km/h NorthCloudy
2pm60°F15°C13 mph21 km/h NorthCloudy
3pm61°F16°C13 mph21 km/h NorthCloudy
4pm62°F16°C13 mph20 km/h NorthCloudy
5pm62°F17°C12 mph19 km/h NorthCloudy
6pm63°F17°C11 mph17 km/h NorthCloudy
7pm63°F17°C10 mph16 km/h NorthCloudy
8pm63°F17°C11 mph18 km/h NorthDrizzle
9pm62°F17°C11 mph18 km/h NorthDrizzle
10pm61°F16°C11 mph18 km/h NorthRain
11pm60°F16°C12 mph19 km/h NorthDrizzle
October 14
12am60°F15°C11 mph18 km/h NorthDrizzle
DateLowHighWindDayNight
October 1357°F14°C63°F17°C12 mph19 km/h from NorthRainDrizzle
October 1456°F13°C70°F21°C9 mph14 km/h from NorthMostly CloudyMostly Clear
October 1554°F12°C71°F22°C8 mph14 km/h from NorthMostly ClearClear
October 1645°F7°C64°F18°C8 mph13 km/h from NorthClearClear
October 1742°F6°C64°F18°C4 mph6 km/h from NorthwestMostly ClearMostly Cloudy
October 1850°F10°C73°F23°C5 mph9 km/h from SouthPartly CloudyPartly Cloudy
October 1959°F15°C74°F23°C11 mph18 km/h from SouthMostly CloudyDrizzle

Yes

Low of 55°F13°C, High of 71°F22°C
Wind: 9 mph14 km/h
Precipitation: 24% rain

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