Yes

you do need a jacket based on the weather in Madison, WI, USA 1 second ago

Why? Because it's bitterly cold.
35°F2°C & Partly Cloudy

Wind is 4 mph7 km/h from the SE, gusting to 8 mph13 km/h
April 25
5am34°F1°C5 mph7 km/h SEMostly Cloudy
6am34°F1°C4 mph7 km/h SEMostly Cloudy
7am33°F1°C4 mph7 km/h SEPartly Cloudy
8am35°F2°C4 mph7 km/h SEPartly Cloudy
9am38°F3°C5 mph8 km/h SEMostly Clear
10am42°F6°C5 mph9 km/h SEClear
11am47°F8°C6 mph10 km/h SEClear
12pm50°F10°C7 mph11 km/h SEClear
1pm53°F12°C8 mph13 km/h SEClear
2pm56°F13°C9 mph14 km/h SEClear
3pm57°F14°C9 mph15 km/h SEClear
4pm58°F15°C9 mph15 km/h SEClear
DateLowHighWindDayNight
April 2533°F1°C59°F15°C8 mph13 km/h from SEClearPartly Cloudy
April 2640°F4°C57°F14°C16 mph26 km/h from SERainRain
April 2756°F13°C76°F24°C19 mph31 km/h from SWWindyRain
April 2860°F16°C71°F22°C12 mph19 km/h from SRainRain
April 2951°F11°C65°F18°C15 mph25 km/h from SWWindyMostly Clear
April 3046°F8°C71°F22°C10 mph16 km/h from SWPartly CloudyPartly Cloudy
May 157°F14°C75°F24°C9 mph14 km/h from WMostly ClearMostly Cloudy

Yes

Low of 40°F5°C, High of 56°F14°C
Wind: 16 mph26 km/h
Precipitation: 44% rain

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