Yes

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

Why? Because rain: where every drop seems to aim directly at your glasses and it's not very warm out!
55°F13°C & Rain

Wind is 7 mph11 km/h from the Southwest, gusting to 16 mph25 km/h
May 24
12am55°F13°C7 mph11 km/h SouthwestRain
1am55°F13°C9 mph15 km/h SouthwestRain
2am56°F13°C10 mph16 km/h SouthwestDrizzle
3am58°F14°C11 mph17 km/h SouthwestDrizzle
4am60°F15°C11 mph17 km/h WestCloudy
5am62°F17°C10 mph17 km/h WestCloudy
6am64°F18°C11 mph17 km/h WestCloudy
7am66°F19°C12 mph19 km/h WestCloudy
8am68°F20°C12 mph20 km/h WestCloudy
9am69°F21°C13 mph21 km/h WestCloudy
10am71°F21°C13 mph21 km/h WestCloudy
11am71°F22°C13 mph21 km/h WestCloudy
DateLowHighWindDayNight
May 2355°F13°C71°F22°C12 mph19 km/h from WestDrizzleDrizzle
May 2454°F12°C67°F19°C14 mph22 km/h from WestMostly CloudyMostly Clear
May 2551°F10°C64°F18°C12 mph20 km/h from SouthwestMostly CloudyDrizzle
May 2653°F12°C67°F20°C13 mph22 km/h from SouthwestMostly CloudyDrizzle
May 2756°F13°C67°F20°C12 mph20 km/h from WestDrizzleMostly Cloudy
May 2853°F12°C65°F18°C10 mph16 km/h from WestMostly CloudyPartly Cloudy
May 2956°F13°C73°F23°C8 mph13 km/h from WestPartly CloudyPartly Cloudy

Yes

Low of 54°F12°C, High of 67°F20°C
Wind: 14 mph22 km/h
Precipitation: 12% rain

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