In a recent $5-$year period, mutual fund manager Ali Ayberk produced the following percentage rates of return for the Mesozoic Fund that she manages. Rates of return on the market index are given for comparison.

$\backslash$table$[[$Year$,1,2,3,4,5],[$Fund $(\%),-1\mathrm{.}2,24\mathrm{.}2,42\mathrm{.}1,11\mathrm{.}1,0\mathrm{.}6],[$Market Index $(\%),-0\mathrm{.}7,18,31\mathrm{.}6,10\mathrm{.}1,-0\mathrm{.}5]]$

a$.$ Calculate the average return on both the Fund and the index returns.

b$.$ Calculate the standard deviation on both the Fund and the index returns.

c$.$ Did Ms$.$ Sauros do better or worse than the market index on these measures?