iii. For the data given below, show that the estimated density using the

triangular kernel with a bandwidth of $2$ evaluates to $1/13$ for $$f$(9).$

Show your workings by hand.

i $12345678910111213$

xi $7102\mathrm{.}57\mathrm{.}56\mathrm{.}58\mathrm{.}56\mathrm{.}57\mathrm{.}57\mathrm{.}574\mathrm{.}54\mathrm{.}54$