Yes

you do need a jacket based on the weather in Oslo, Norway 1 second ago

Why? Because your nose hairs will turn into tiny icicles!
17°F-8°C & Cloudy

Wind is 4 mph7 km/h from the Northeast, gusting to 10 mph16 km/h
January 5
3pm17°F-8°C5 mph7 km/h NortheastCloudy
4pm18°F-8°C5 mph7 km/h NortheastHaze
5pm18°F-8°C5 mph8 km/h NortheastCloudy
6pm18°F-8°C5 mph8 km/h NortheastCloudy
7pm18°F-8°C5 mph9 km/h NortheastCloudy
8pm18°F-8°C6 mph9 km/h NortheastHaze
9pm19°F-7°C6 mph10 km/h NortheastCloudy
10pm19°F-7°C6 mph10 km/h NortheastCloudy
11pm19°F-7°C7 mph12 km/h NortheastHaze
January 6
12am20°F-7°C8 mph13 km/h NortheastSnow
1am20°F-7°C8 mph14 km/h NortheastSnow
2am20°F-7°C9 mph15 km/h NortheastSnow
DateLowHighWindDayNight
January 43°F-16°C18°F-8°C2 mph3 km/h from NortheastMostly CloudySnow
January 518°F-8°C30°F-1°C13 mph20 km/h from NortheastHeavy SnowHeavy Snow
January 630°F-1°C36°F2°C13 mph21 km/h from SoutheastRainRain
January 726°F-3°C33°F0°C6 mph10 km/h from NorthSnowMostly Cloudy
January 816°F-9°C29°F-2°C5 mph8 km/h from NorthMostly CloudyMostly Clear
January 912°F-11°C18°F-8°C4 mph7 km/h from NorthMostly ClearClear
January 108°F-13°C18°F-8°C4 mph6 km/h from NorthPartly CloudyPartly Cloudy

Yes

Low of 18°F-8°C, High of 30°F-1°C
Wind: 13 mph20 km/h
Precipitation: 77% snow

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