Yes

you do need a jacket based on the weather in London Borough of Enfield, UK 1 second ago

Why? Because the drizzle is not enough rain to call it "raining," but enough to make you a little soggy and it's not very warm out and it's so windy, your hat will probably launch into orbit!
52°F11°C & Drizzle

Wind is 13 mph21 km/h from the West, gusting to 27 mph43 km/h
October 28
7am52°F11°C13 mph21 km/h WestDrizzle
8am53°F11°C12 mph19 km/h WestPartly Cloudy
9am53°F12°C13 mph21 km/h WestPartly Cloudy
10am54°F12°C14 mph23 km/h WestPartly Cloudy
11am55°F13°C15 mph24 km/h WestMostly Cloudy
12pm57°F14°C15 mph24 km/h WestMostly Cloudy
1pm57°F14°C15 mph24 km/h WestWindy
2pm57°F14°C14 mph23 km/h WestMostly Cloudy
3pm57°F14°C13 mph20 km/h WestMostly Cloudy
4pm56°F14°C11 mph18 km/h WestPartly Cloudy
5pm55°F13°C10 mph16 km/h SouthwestPartly Cloudy
6pm53°F12°C9 mph14 km/h SouthwestPartly Cloudy
DateLowHighWindDayNight
October 2851°F10°C57°F14°C13 mph20 km/h from WestDrizzleCloudy
October 2945°F7°C55°F13°C7 mph11 km/h from SouthwestCloudyMostly Clear
October 3041°F5°C55°F13°C7 mph12 km/h from SouthMostly CloudyCloudy
October 3153°F12°C61°F16°C12 mph20 km/h from SouthDrizzleRain
November 147°F8°C56°F13°C12 mph20 km/h from SouthwestRainDrizzle
November 241°F5°C52°F11°C10 mph16 km/h from WestRainDrizzle
November 341°F5°C58°F14°C12 mph20 km/h from SouthwestDrizzleCloudy

Yes

Low of 46°F8°C, High of 55°F13°C
Wind: 7 mph11 km/h
Precipitation: None

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