Yes

you do need a jacket based on the weather in Thuwal Saudi Arabia 1 second ago

Why? Because it's on the windy side!
95°F35°C & Clear

Wind is 10 mph16 km/h from the West, gusting to 21 mph33 km/h
October 20
10am95°F35°C12 mph19 km/h WestClear
11am94°F34°C15 mph24 km/h WestClear
12pm93°F34°C16 mph26 km/h WestWindy
1pm91°F33°C15 mph25 km/h WestWindy
2pm89°F32°C13 mph20 km/h WestClear
3pm87°F31°C10 mph17 km/h WestClear
4pm86°F30°C5 mph8 km/h NorthwestClear
5pm84°F29°C4 mph6 km/h NortheastClear
6pm83°F29°C4 mph6 km/h EastClear
7pm83°F28°C3 mph5 km/h EastClear
8pm82°F28°C4 mph6 km/h EastClear
9pm81°F27°C4 mph6 km/h SoutheastClear
DateLowHighWindDayNight
October 1978°F26°C95°F35°C9 mph15 km/h from WestClearClear
October 2075°F24°C96°F36°C9 mph15 km/h from WestClearClear
October 2176°F24°C98°F37°C12 mph19 km/h from SouthwestClearClear
October 2275°F24°C97°F36°C10 mph16 km/h from WestClearClear
October 2373°F23°C96°F36°C9 mph14 km/h from WestClearClear
October 2472°F22°C94°F35°C11 mph17 km/h from NorthwestClearClear
October 2575°F24°C96°F35°C9 mph15 km/h from NorthwestClearClear

No

Low of 75°F24°C, High of 97°F36°C
Wind: 9 mph15 km/h
Precipitation: None

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