The chart shows the losses and gains in an investment over the course of five years. What was the average growth rate over the course of the five years?
Year$\space\space\space$ Percent Growth
I thought that this would mean that if you start with a value of $x$, then the each percentage represents an increase in the previous amount. This would mean that the final amount after 5 years is $x\times1.10\times.97\times.92\times1.04\times1.06$ or $1.0822x$
This would mean that the percent increase is $8.22\%$, but the real answer is $1.59\%$. How would this "average" work and how is my work wrong in the first place?