Yes

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

Why? Because it's so windy, your hat is now someone else's problem, two cities away!
64°F18°C & Windy

Wind is 16 mph25 km/h from the West, gusting to 27 mph43 km/h
September 16
8am64°F18°C16 mph25 km/h WestWindy
9am65°F18°C16 mph25 km/h WestWindy
10am65°F18°C15 mph24 km/h WestWindy
11am65°F18°C16 mph25 km/h WestWindy
12pm64°F18°C15 mph25 km/h WestWindy
1pm62°F17°C14 mph22 km/h WestCloudy
2pm61°F16°C12 mph20 km/h WestCloudy
3pm60°F16°C11 mph18 km/h WestCloudy
4pm59°F15°C10 mph16 km/h WestCloudy
5pm58°F15°C9 mph14 km/h WestCloudy
6pm57°F14°C9 mph14 km/h WestCloudy
7pm57°F14°C8 mph13 km/h WestCloudy
DateLowHighWindDayNight
September 1556°F13°C65°F18°C13 mph20 km/h from WestMostly CloudyDrizzle
September 1657°F14°C67°F19°C19 mph31 km/h from SouthwestDrizzleCloudy
September 1762°F17°C68°F20°C16 mph26 km/h from SouthwestWindyPartly Cloudy
September 1859°F15°C70°F21°C8 mph13 km/h from SouthPartly CloudyMostly Cloudy
September 1959°F15°C68°F20°C8 mph13 km/h from SouthwestDrizzleRain
September 2054°F12°C63°F17°C13 mph21 km/h from SoutheastRainDrizzle
September 2153°F11°C63°F17°C20 mph31 km/h from NortheastDrizzleWindy

Yes

Low of 57°F14°C, High of 66°F19°C
Wind: 19 mph31 km/h
Precipitation: 69% rain

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