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

$\backslash$table$[[,1,2,3,4,5],[$Fund$,-1\mathrm{.}2,+24\mathrm{.}8,+40\mathrm{.}7,+11\mathrm{.}1,+0\mathrm{.}3],[$Market index,$-0\mathrm{.}9,+16\mathrm{.}0,+31\mathrm{.}7,+10\mathrm{.}9,-0\mathrm{.}7]]$

a$.$ Calculate $($a$)$ the average return on both the Fund and the index, and $($b$)$ the standard deviation of the returns on each. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

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

$\backslash$table$[[,,\backslash$table$[[$Mesozoic$],[$Fund Return$]],\backslash$table$[[$Market$],[$Portfolio$],[$Return$]]],[$a$.,$Average return,,$],[$Standard deviation,,$],[$b$.,\backslash$table$[[$Did Ms$.$ Sauros do better or worse than$],[$the market index on these measures?$]],,]]$