Which one is correct?
There is a wide variety of shops in my country.
There are a wide variety of shops in my ocuntry.
Both are used. content=is+a+wide+variety+of%2Care+a+wide+variety+of&year_start=1800&year_end=2000&corpus=15&smoothing=3
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Both are used. This graph shows you the relative frequency in the Google Books "Ngrams" corpus: