Michael is interested in obtaining $30-$year fixed mortgage rates in Myrtle Beach, SC$.$ He obtained rate quotes from $6$

lenders, and the APR rates that were quoted to him are given in the following table.

$30-$Year Fixed Mortgage Rates

Lender APR $(\%)$

EverBank $3\mathrm{.}502$

AimLoan $3\mathrm{.}627$

Great Western $4\mathrm{.}032$

Greenlight $4\mathrm{.}212$

Flagstar $4\mathrm{.}192$

Quicken $4\mathrm{.}012$

Step $3$ of $3$: Determine the value of $\backslash$chi $20\mathrm{.}050$

for this data to three decimal places.