Yes

you do need a jacket based on the weather in Didcot OX11, UK 1 second ago

Why? Because it's not very warm out and it's so windy, your hat is now someone else's problem, two cities away!
53°F11°C & Mostly Clear

Wind is 14 mph23 km/h from the West, gusting to 27 mph43 km/h
September 15
11pm53°F11°C14 mph23 km/h WestMostly Clear
September 16
12am52°F11°C14 mph23 km/h WestMostly Clear
1am52°F11°C14 mph22 km/h WestMostly Clear
2am52°F11°C13 mph21 km/h WestMostly Clear
3am53°F12°C13 mph22 km/h WestMostly Clear
4am55°F13°C14 mph23 km/h WestMostly Clear
5am58°F14°C16 mph26 km/h WestWindy
6am60°F15°C16 mph25 km/h WestWindy
7am61°F16°C15 mph24 km/h WestCloudy
8am63°F17°C15 mph24 km/h WestCloudy
9am64°F18°C15 mph24 km/h WestCloudy
10am64°F18°C15 mph24 km/h WestCloudy
DateLowHighWindDayNight
September 1551°F11°C64°F18°C14 mph23 km/h from WestMostly CloudyDrizzle
September 1653°F12°C68°F20°C17 mph27 km/h from SouthwestDrizzleCloudy
September 1761°F16°C71°F22°C16 mph27 km/h from SouthwestWindyCloudy
September 1859°F15°C73°F23°C9 mph14 km/h from SouthwestMostly CloudyDrizzle
September 1956°F13°C69°F20°C10 mph16 km/h from SouthwestDrizzleDrizzle
September 2049°F9°C61°F16°C7 mph11 km/h from SouthwestDrizzleDrizzle
September 2146°F8°C61°F16°C12 mph20 km/h from NortheastDrizzleMostly Cloudy

Yes

Low of 54°F12°C, High of 68°F20°C
Wind: 17 mph27 km/h
Precipitation: 75% rain

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