Yes

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

Why? Because just cool enough for a jacket, but not warm enough to ditch it!
56°F13°C & Cloudy

Wind is 1 mph2 km/h from the North, gusting to 3 mph5 km/h
August 23
2am56°F14°C2 mph3 km/h NorthCloudy
3am59°F15°C1 mph2 km/h NorthCloudy
4am62°F16°C1 mph2 km/h NortheastCloudy
5am65°F18°C2 mph2 km/h NorthMostly Cloudy
6am67°F20°C2 mph3 km/h NorthMostly Cloudy
7am69°F20°C2 mph3 km/h NortheastMostly Cloudy
8am70°F21°C2 mph4 km/h NortheastMostly Cloudy
9am71°F22°C2 mph4 km/h NortheastCloudy
10am72°F22°C3 mph4 km/h EastCloudy
11am72°F22°C2 mph3 km/h EastMostly Cloudy
12pm72°F22°C2 mph3 km/h SoutheastMostly Cloudy
1pm72°F22°C3 mph5 km/h EastMostly Cloudy
DateLowHighWindDayNight
August 2255°F13°C72°F22°C2 mph3 km/h from NortheastMostly CloudyPartly Cloudy
August 2358°F15°C75°F24°C8 mph12 km/h from SouthMostly CloudyPartly Cloudy
August 2456°F13°C79°F26°C12 mph19 km/h from SouthMostly ClearDrizzle
August 2559°F15°C72°F22°C14 mph22 km/h from SouthwestDrizzlePartly Cloudy
August 2655°F13°C66°F19°C14 mph22 km/h from SouthwestRainPartly Cloudy
August 2753°F12°C66°F19°C9 mph15 km/h from SouthDrizzleDrizzle
August 2854°F12°C66°F19°C6 mph10 km/h from SouthDrizzleDrizzle

Yes

Low of 58°F15°C, High of 75°F24°C
Wind: 8 mph12 km/h
Precipitation: None

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