I have two capacitors 10uF and 47uF

10uF gave me a mean value of the output (DC) of 7.75v and a ripple voltage of 1.42V

47uF gave me a mean value of the output(DC) of 8.02V and a ripple voltage of 372.6mV

The question is which capacitor give the smallest ripple. i said obviously the 47uF one but i cant explain why and we also have to tell which one gave the largest mean value in the output.

My question is how can i explain using theoricaly both answer

Thank you