Consider the following observations of a series:

Year $1$ Year $2$ Year $3$ Year $4$

$103123163173$

a$.$ Calculate the growth rates for Year $1$Year $2,$ Year $2$Year $3,$ and Year $3$Year $4.($Round your answers to $4$ decimal places.$)$

b$.$ Calculate the average growth rate. $($Enter your answer as a percentage, rounded to $2$ decimal places, using intermediate calculations rounded to at least $4$ decimal places.$)$