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The phrase 'the global average' is correct and can be used in written English.
You can use it when referring to an average value, result, or statistic that is based on a global population or data sample. For example, "The global average temperature in 2020 was the highest on record."
Exact(59)
The global average is 24%.
The global average is 2.33.
The global average was 73%.
It is the global average today".
The global average impact was positive in the 20th century.
The global average is now 2.5 children per woman.
(The global average is a shameful 27 litres).
It scored below the global average in four of the five areas covered by the index, but was a fraction above the global average on political participation.
The plateau's temperature has increased by 1.3C (34.4F) – three times the global average.
Across the region, youth unemployment averages at least 25percentt, close to double the global average.
Temperatures in Tibet have risen by 0.4°C per decade – double the global average.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com