Yes

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

Why? Because you're not freezing, but you’ll definitely start complaining if it lasts much longer and it's fairly windy outside!
43°F6°C & Mostly Cloudy

Wind is 9 mph14 km/h from the North, gusting to 20 mph32 km/h
May 5
3am45°F7°C10 mph16 km/h NorthMostly Cloudy
4am47°F9°C11 mph18 km/h NorthCloudy
5am50°F10°C13 mph21 km/h NorthMostly Cloudy
6am52°F11°C14 mph23 km/h NortheastMostly Cloudy
7am53°F12°C15 mph24 km/h NortheastMostly Cloudy
8am54°F12°C15 mph24 km/h NortheastMostly Cloudy
9am55°F13°C15 mph25 km/h NortheastWindy
10am56°F13°C15 mph24 km/h NortheastWindy
11am56°F14°C14 mph23 km/h NortheastMostly Cloudy
12pm56°F13°C13 mph22 km/h NortheastMostly Cloudy
1pm56°F13°C13 mph21 km/h NortheastPartly Cloudy
2pm54°F12°C13 mph20 km/h NortheastPartly Cloudy
DateLowHighWindDayNight
May 440°F5°C56°F14°C13 mph22 km/h from NortheastMostly CloudyMostly Clear
May 542°F6°C59°F15°C10 mph16 km/h from NortheastMostly CloudyPartly Cloudy
May 643°F6°C61°F16°C10 mph16 km/h from NortheastMostly CloudyMostly Cloudy
May 745°F7°C63°F17°C11 mph18 km/h from NortheastPartly CloudyMostly Clear
May 847°F8°C64°F18°C12 mph19 km/h from NortheastMostly ClearClear
May 948°F9°C66°F19°C11 mph17 km/h from EastMostly ClearClear
May 1050°F10°C68°F20°C11 mph18 km/h from EastMostly ClearMostly Clear

Yes

Low of 42°F6°C, High of 59°F15°C
Wind: 10 mph16 km/h
Precipitation: None

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