Quite a few
Definition 1 of 1
Pro Tip 1/3Moderate Emphasis
Indicates a significant amount but not an overwhelming majority or an extreme number. 
There were quite a few options on the menu, but I chose the lasagna.
Pro Tip 2/3Positive Surprise
Can express a positive reaction when the number is more than expected, often in a satisfying way. 
To my surprise, quite a few friends showed up to my party.
Pro Tip 3/3Subjectivity
The exact number is subjective and can vary based on personal perspective or context. 
She has quite a few cats; to her it's five, but others might say it's too many.