Yes

you do need a jacket based on the weather in Oxford, UK 1 second ago

Why? Because it's not very warm out.
55°F13°C & Windy

Wind is 18 mph29 km/h from the SW, gusting to 34 mph55 km/h
March 29
10am55°F13°C18 mph30 km/h SWWindy
11am54°F12°C18 mph30 km/h SWWindy
12pm53°F12°C17 mph28 km/h SWWindy
1pm52°F11°C16 mph25 km/h SWWindy
2pm50°F10°C13 mph21 km/h SWMostly Clear
3pm48°F9°C11 mph17 km/h SMostly Clear
4pm46°F8°C10 mph16 km/h SMostly Clear
5pm45°F7°C9 mph15 km/h SMostly Clear
6pm44°F7°C8 mph14 km/h SPartly Cloudy
7pm44°F6°C8 mph12 km/h SPartly Cloudy
8pm43°F6°C7 mph12 km/h SMostly Clear
9pm42°F6°C6 mph10 km/h SMostly Clear
DateLowHighWindDayNight
March 2841°F5°C55°F13°C15 mph25 km/h from SDrizzlePartly Cloudy
March 2938°F4°C56°F13°C6 mph9 km/h from SMostly CloudyMostly Clear
March 3039°F4°C56°F13°C12 mph19 km/h from EMostly CloudyRain
March 3143°F6°C52°F11°C9 mph14 km/h from NDrizzleMostly Cloudy
April 140°F4°C53°F12°C8 mph12 km/h from SCloudyRain
April 243°F6°C52°F11°C17 mph27 km/h from SWDrizzleCloudy
April 340°F5°C52°F11°C13 mph21 km/h from SDrizzleDrizzle

Yes

Low of 38°F4°C, High of 55°F13°C
Wind: 6 mph9 km/h
Precipitation: None

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