Yes

you do need a jacket based on the weather in Dulwich Hill NSW 2203, Australia 1 second ago

Why? Because it's not very warm out.
56°F13°C & Clear

Wind is 5 mph8 km/h from the NW, gusting to 11 mph18 km/h
September 20
10am56°F13°C5 mph9 km/h NWClear
11am55°F13°C6 mph9 km/h NWClear
12pm54°F12°C6 mph10 km/h NWClear
1pm53°F12°C7 mph11 km/h NWMostly Clear
2pm52°F11°C7 mph10 km/h NWClear
3pm51°F11°C6 mph9 km/h NWClear
4pm51°F10°C5 mph7 km/h NWClear
5pm53°F12°C4 mph7 km/h NWClear
6pm57°F14°C4 mph7 km/h NWClear
7pm62°F16°C5 mph8 km/h NWClear
8pm65°F18°C6 mph9 km/h NWClear
9pm68°F20°C6 mph9 km/h WClear
DateLowHighWindDayNight
September 1953°F12°C76°F25°C8 mph13 km/h from WClearClear
September 2051°F10°C74°F23°C7 mph11 km/h from WClearClear
September 2149°F9°C76°F24°C7 mph11 km/h from WMostly ClearClear
September 2250°F10°C80°F26°C5 mph9 km/h from NWClearPartly Cloudy
September 2354°F12°C76°F25°C7 mph11 km/h from NEMostly CloudyMostly Cloudy
September 2459°F15°C81°F27°C11 mph18 km/h from NWMostly CloudyRain
September 2552°F11°C64°F18°C13 mph21 km/h from SRainMostly Cloudy

Yes

Low of 51°F11°C, High of 73°F23°C
Wind: 7 mph11 km/h
Precipitation: None

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