Yes

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

Why? Because it's cold. simple as that.
46°F8°C & Mostly Cloudy

Wind is 9 mph15 km/h from the N, gusting to 22 mph35 km/h
April 24
6am46°F8°C10 mph16 km/h NMostly Cloudy
7am47°F8°C10 mph17 km/h NMostly Cloudy
8am49°F9°C10 mph17 km/h NCloudy
9am50°F10°C10 mph17 km/h NCloudy
10am50°F10°C10 mph16 km/h NMostly Cloudy
11am51°F10°C9 mph15 km/h NCloudy
12pm50°F10°C9 mph15 km/h NMostly Cloudy
1pm50°F10°C8 mph13 km/h NMostly Cloudy
2pm48°F9°C7 mph11 km/h NPartly Cloudy
3pm46°F8°C4 mph7 km/h NMostly Clear
4pm43°F6°C3 mph4 km/h NMostly Clear
5pm41°F5°C2 mph4 km/h NPartly Cloudy
DateLowHighWindDayNight
April 2339°F4°C51°F10°C9 mph14 km/h from NMostly CloudyPartly Cloudy
April 2436°F2°C53°F12°C7 mph11 km/h from WMostly CloudyDrizzle
April 2539°F4°C52°F11°C6 mph9 km/h from ECloudyDrizzle
April 2641°F5°C55°F13°C10 mph15 km/h from NERainRain
April 2744°F7°C55°F13°C11 mph18 km/h from SWRainDrizzle
April 2839°F4°C60°F15°C9 mph14 km/h from SWPartly CloudyPartly Cloudy
April 2944°F6°C61°F16°C9 mph15 km/h from SDrizzleDrizzle

Yes

Low of 37°F3°C, High of 54°F12°C
Wind: 7 mph11 km/h
Precipitation: 27% rain

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